DISEÑO DISEÑ O DE INTERCAMB INTERCAMBIA IADORE DORES S DE CA CA L OR
Intercambiadores de calor de : Doble tubo Casco y tubos Placas Condensadores Evaporadores Hervidoresvaporizadores Chaqueta Serpentín.
Pedro Angeles Chero Ingeniero Químico Dr Ciencias Ambientale s
Noviembre 2015 2015
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Diseño de equipos de Transferencia Transferencia de calor
Contenido V. INTRODUCCION ............................................ .................................................................. ............................................ ............................................ ............................. ....... 2 5.1 INTERCAMBIADORES DE CALOR .................................... .......................................................... ........................................... ..................... 1 ANTECEDENTES ANTECEDENTES HISTÓRICOS .............................................. .................................................................... ............................................ ......................... ... 1 5.2 INTRODUCCION Y CONCEPTOS FUNDAMENTALES FUNDAMENTALES ................................. .............................................. ............. 1 5.3 SELECCIÓN DE INTERCAMBIADORES DE CALOR DE CARCASA Y TUBOS ..... 4 5.4 INTERCAMBIADORES DE CALOR DE DOBLE TUBO .............................................. .............................................. 9 5.5 DISEÑO DE UN INTERCAMBIADOR DE CALOR DE DOBLE TUBO .................... .................... 10 5.6 INTERCAMBIADORES DE CALOR DE CARCASA Y TUBOS ................................. ................................. 16 5.7 DISEÑO DE INTERCAMBIADOR E CALOR DE CASCO Y TUBOS (TEMA) ........ 25 5.8 USOS DE INTERCAMBIADORES INTERCAMBIADORES DE CALOR DE CASCO Y TUBOS ..................... ..................... 34 5.9 TRANSFERENCIA DE CALOR CON CAMBIO DE FASE.......................................... .......................................... 34 5.10 DISEÑO DE HERVIDORES – VAPORIZADORES VAPORIZADORES DE CIRCULACION C IRCULACION FORZADA 35 5.11 ALCANCES PARA DISEÑO DE HERBIDORES – VAPORIZADORES VAPORIZADORES .................... .................... 40 5.12 DISEÑO DE CONDENSADORES............................................ .................................................................. ...................................... ................ 43 5.13 DISEÑO DE EVAPORADORES............................................ .................................................................. ......................................... ................... 48 5.14 CONSIDERACIONES PARA EL DISEÑO D ISEÑO DE EVAPORADORES ............................. ............................. 54 5.15 INTERCAMBIADORES DE CALOR DE PLACAS ...................................................... ...................................................... 59 5.16 DISEÑO DEL INTERCAMBIADOR DE CALOR DE PLACAS............ P LACAS................................... ....................... 68 5.17 DISEÑO DE INTERCAMBIADORES INTERCAMBIADORES DE CALOR DE CHAQUETA......................... ......................... 73 CON AGITACION. AGITACION. DISEÑO SEGÚN TIPO DE AGITACION ............................. 74 5.18 DISEÑO DE RECIPIENTES CON SERPENTIN SUMERGIDO ................................... ................................... 75 5.19 DISEÑO DE TANQUES CON SERPENTIN Y AGITACIÓN ....................................... ....................................... 76 5.20 INTERCAMBIADOR DE CALOR DE SUPERFICIE RASCADA ................................ ................................ 78 Tabla 5.3 Guía para la selección de un intercambiador intercambia dor de calor ......................................... ......................................... 79 5.21 TABLAS Y GRAFICOS .......................................... ................................................................ ............................................ .................................. ............ 80
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Diseño de equipos de Transferencia Transferencia de calor
V.
INTRODUCCION
Los equipos intercambiadores de calor de calor se encuentran entre los principales equipos esencialmente usados en todas las industrias de proceso, y el ingeniero químico como ingeniero de planta debe estar familiarizado con el manejo de todos ello y de los diferentes tipos de equipo empleados en el proceso industrial. Aunque el ingeniero no esté involucrado en la fabricación de intercambiadores de calor, él está directamente comprometido con la especificación y adquisición de equipos de transferencia de calor, por lo tanto es de gran importancia las consideraciones de diseño de procesos, ya que deben decidir decidir entre varios tipos de intercambiadores de calor, cuál unidad de equipo es mejor para un proceso dado. La mejora constante de la productividad obliga a que siempre se busque disminuir las cantidades de calor transferido mediante tecnologías como la de Pinch, o utilizar un aislante térmico para disminuir las pérdidas de calor, o un control térmico automatizado. Los procesos de transferencia de calor los encontramos en los reactores, enfriadores, calentadores, condensadores, hervidores-vaporizadores, evaporadores, calderos, torres de enfriamiento, entre otros. Esto nos hace ver que la transferencia de calor abarca una amplia gama de fenómenos físicos que se necesitan comprender para la toma de decisiones inmediata durante la supervisión de planta, de ahí que necesitamos conocer y desarrollar una metodología que conduzca al diseño térmico de los sistemas correspondientes. Los modernos equipos de transferencia de calor van desde los intercambiadores simples de doble tubo hasta los más complejos intercambiadores con cientos de metros cuadrados de área de transferencia. Entre estos dos extremos se encuentran el intercambiador de calor de mayor uso en la industria química; el de casco y tubos, así como los intercambiadores con tubos de superficie extendida, intercambiadores de placas, hornos y muchas otras variedades de equipo. Una correcta selección de equipos de transferencia de calor, requiere un entendimiento de las teorías básicas de la transferencia de calor y los méto dos para cálculos de diseño, sumado a esto, los problemas relacionados al diseño mecánico, fabricación. Este texto está orientado específicamente a los procedimientos de diseño de los principales intercambiadores de calor, ya sea de transferencia de calor sensible como de transferencia con cambio de fase, que incluyen calentadores, enfriadores, condensadores, hervidores – vaporizadores, evaporadores, constituidos principalmente por equipos de transferencia de calor de doble tubo, casco y tubos, de d e placas, de chaqueta y serpentín. La determinación apropiada de coeficientes de transferencia de calor es necesaria para cálculos de diseño en operaciones de transferencia de calor. Estos coeficientes muchas veces pueden estimarse sobre la base de experiencias, o a partir de ecuaciones teóricas o empíricas empíri cas desarrolladas por ingenieros e investigadores en el área de ingeniería de los procesos químicos industriales. Muchas ecuaciones semi-empíricas para la evaluación de coeficientes de transferencia de calor han sido publicadas. Cada una de estas ecuaciones tienen sus limitaciones y el ingeniero debe reconocer de estas limitaciones. Aquí se muestran los diseños utilizando las ecuaciones de mayor uso.
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Diseño de equipos de Transferencia Transferencia de calor
5.1 INTERCAMBIA INTERCAMBIADORES DORES DE CALOR ANTECEDENTES HISTÓRICOS El diseño y construcción de los primeros intercambiadores de carcasa y tubos se inicio en los primeros años del siglo cuando se construyeron las primeras plantas de producción de energía eléctrica y eran necesarios grandes intercambiadores como condensadores y calentadores de agua. Actualmente se siguen utilizando intercambiadores de carcasa y tubos para este servicio aunque su diseño se ha sofisticado. En la industria también se empezó a utilizar a principios de siglo con el desarrollo de la industria del petróleo que requería calentadores, reboilers y condensadores para servicios con productos orgánicos normalmente bastante sucios y a altas temperaturas y presión. Desde el principio los problemas que presentaban estos intercambiadores no eran problemas de transferencia de calor o pérdida de carga, que se fueron estimando con la práctica, sino más bien problemas con los materiales de construcción como los ocasionados por el stress térmico o problemas con las juntas entre los tubos y la placa de tubular. Hoy en día, aunque se ha avanzado mucho en este sentido estos problemas siguen ocasionado las averías en estos equipos. En los años 20 la tecnología de los intercambiadores de carcasa y tubos estaba bastante desarrollada y grandes unidades de hasta 500 m 2 fueron construidas para la creciente industria del petróleo. Con la implantación de estos equipos surgió la necesidad de elaborar normas para el diseño mecánico tanto por cuestiones de seguridad, control de calidad y uniformidad de equipos. El primer de estos documentos fue TEMA del año 1941. Hoy en día con su sexta edición se sigue considerando estas normas en todo el mundo. Entre los años 40 y 50 se llevó a cabo una intensa labor de investigación que permitió establecer la bases de cálculo de estos intercambiadores para los diversos servicios y resolver la mayoría de los problemas mecánicos en la construcción. La construcción de los intercambiadores de carcasa y tubos se ha ido desarrollando a lo largo de los años y se han convertido en los intercambiadores más ampliamente utilizados por su construcción robusta y por la gran variedad de diseños y condiciones de operación.
5.2 INTRODUCCION Y CONCEPTOS FUNDAMENTAL ES Un intercambiador de calor se puede describir como un equipo en el que dos corrientes a distintas temperaturas fluyen sin mezclarse con el objeto de enfriar una de ellas o calentar la otra, o ambas cosas a la vez. El intercambio de calor ocurre como se muestra muestra en la figura 5.1: T2
t1 Fluido frío
Fluido caliente
Figura 5.1 Intercambiador de calor de tubos
T1 t2
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Diseño de equipos de Transferencia Transferencia de calor
Cuando las corrientes circulan en sentido opuesto se dice que la circulación es en CONTRACORRIENTE, pero cuando es en el mismo sentido la circulación es en PARALELO, tal como se muestra en las figuras 5.2 y 5.3 respectivamente. T2
Fluido caliente
T2
t1
t1
Fluido frío
Fluido frío
Fluido caliente
T1
T1 t2
Figura 5.2 Circulación en contracorriente
t2
Figura 5.3 Circulación en paralelo
En algunos casos las corrientes se cruzan perpendicularmente y se denominan corrientes CRUZADAS, y se dan con mayor frecuencia en intercambio de calor de gases con líquidos.
Cuando se realiza una transferencia de calor sin cambio de fase se dan dos situaciones típicas: En la primera, ambas temperaturas, temperaturas, t (Temperatura de fluido frío) y T (temperatura de fluido caliente) caliente) varían simultáneamente. t lo hace creciendo desde t1 hasta t2, y T lo hace disminuyendo desde T1 hasta T2. Al graficar estos cambios se presentan como se observa en las figuras 5.4 y 5.5:
En contracorriente
Fig.5.4 Comportamiento de las temperaturas en transferencias de calor sensible en contracorriente
En paralelo
Fig.5.5 Comportamiento de de las temperaturas en transferencias de calor sensible en paralelo
La experiencia ha demostrado que el flujo en contracorriente es más efectivo que el flujo en paralelo. Veamos un ejemplo: Cuando la transferencia de calor es en contracorriente se puede dar una situación diferente donde
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Diseño de equipos de Transferencia Transferencia de calor
Figura 5.6 Comportamiento de las temperaturas en transferencia de calor con cambio de fase en c ontracorriente.
En cualquiera de los casos la variación de una o ambas temperaturas puede ser lineal, aunque lo habitual es que no lo sea. La temperatura media se denomina temperatura media logarítmica y se calcula de la siguiente manera: Según la disposición de flujos en los gráficos, para flujos en contracorriente: T2-t1 = ∆t1 = ∆tA T1-t2 = ∆t2 = ∆tB Para flujo en paralelo: T1-t1 = ∆t1 = ∆tA T2-t2 = ∆t2 = ∆tB La temperatura media logarítmica (MLTD) se calcula de la siguiente manera : MLTD
t 2 t 1 t ln 2 t 1
En un intercambiador de calor la temperatura de entrada del fluido caliente es T1=300°F, y la temperatura de salida es T2=200 °F. Asimismo la temperatura de entrada del fluido frío es t1=100°F y la de salida t2=150 t 2=150 °F. Calcular la MLTD en el intercambiador. SOLUCION: contracorriente: ∆t2 = T1-t2 = 300-150 a. En contracorriente: 300-150 = 150 ∆t1 = T2-t1 = 200-100 = 100 150 100 t t 1 = =123.5°F MLTD 2 150 t 2 ln ln 100 t 1 ∆t1 = 300-100 = 200 b. En paralelo: ∆t2 = 200-150 = 50
MLTD
50 200 t 2 t 1 = =108°F 50 t 2
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Diseño de equipos de Transferencia Transferencia de calor
5.3 SELECCIÓN DE INTERCAMBIA INTERCAMBIADORE DORES S DE CALOR CAL OR DE CARCASA Y TUBOS TUBOS TIPOS DE INTERCAMBIADORES Los intercambiadores de calor son unos de los equipos de mayor uso en la industria química y de alimentos, ya que siempre existen operaciones de enfriamiento o calentamiento dentro del proceso. Existe una gran variedad de equipos que realizan realizan transferencia de calor. En ésta sección se estudiaran y diseñarán diseñarán los de mayor uso. A continuación se presenta una breve clasificación de estos equipos según el tipo de superficie.
De doble tubo
Intercambiadores de tubos
De casco y tubos De serpentín sumergido Enfriador de cascada
Intercambiadores de Calor
Intercambiador de superficie plana
Intercambiador de placas Recipiente enchaquetado
Intercambiadores compactos
Intercambiadores de tubos: tubos: Son los mas abundantes, abundantes, gracias a su mayor flexibilidad. Pueden ser de doble tubos o de haz de tubos y coraza. Intercambiadores de serpentín sumergido: Se usan en casos cuando no hay tiempo o dinero para adquirir un equipo comercial, ya que son fáciles de construir en un taller. Al ser fácilmente removibles o transportables se usan mucho para instalaciones provisorias. Tienen buen rendimiento y son fáciles de limpiar exteriormente. La limpieza exterior generalmente no es problema ya que se usa para calentamiento con vapor que circula por el interior de los tubos y este no ensucia, pero si es corrosivo.
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Diseño de equipos de Transferencia Transferencia de calor
Intercambiadores de chaqueta: chaqueta : Se denomina chaqueta al doble fondo o encamisado de un recipiente. Son bastante menos eficientes eficientes que los de serpentín, tienen mayor costo inicial y son difíciles de limpiar mecánicamente porque el acceso al interior de la chaqueta es complicado. En comparación con el serpentín, uno de chaqueta es mala elección. Un serpentín de la misma superficie permite un intercambio de calor bastante mayor, alrededor de un 125% calculado en base a la chaqueta.
Solo son recomendables para recipientes recipientes con no mas de 3 pies de diámetro. Cuanto
menor sea el diámetro la eficiencia de intercambio es mayor.
Enfriadores de cascada: Estos equipos consisten en bancos de tubos hor izontales dispuestos en un plano vertical, haciendo caer el agua en forma de cascada o resbalando en forma de cortina sobre los tubos horizontales formando una película. Se pueden construir con tubos de varios tamaños, aunque los mas frecuentes son de 2 a 4” de diámetro. Son relativamente baratos y fáciles de improvisar pero con baja eficiencia de enfriamiento.
Clasificación por la distribución de flujo Tenemos cuatro tipos de configuraciones más comunes en la trayectoria del flujo. En la distribución de flujo en paralelo, paralelo , los fluidos caliente y frío, entran por el mismo extremo del intercambiador, fluyen a través de él en la misma dirección y salen por el otro extremo. En la distribución en contracorriente, contracorriente , los fluidos caliente y frío entran por los extremos opuestos del intercambiador y fluyen en direcciones opuestas. En la distribución en flujo cruzado de un solo paso, paso , un fluido se desplaza dentro del intercambiador perpendicularmente a la trayectoria del otro fluido. En la distribución en flujo cruzado de paso múltiple, múltiple , un fluido se desplaza transversalmente en forma alternativa con respecto a la otra corriente de fluido.
Para caracterizar los intercambiadores de calor basándose en su aplicación se utilizan en general términos especiales.
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Diseño de equipos de Transferencia Transferencia de calor
El tipo más común es el condensador de superficie que tiene la ventaja de que el condensado sé recircula a la caldera por medio del sistema de alimentación. Las unidades conocidas con este nombre están compuestas en esencia por tubos de sección circular montados dentro de una coraza cilíndrica con sus ejes paralelos al aire de la coraza. Los intercambiadores de calor líquido-líquido pertenecen en general a este grupo y también en algunos casos los intercambiadores gas-gas. Son muy adecuados en las aplicaciones en las cuales la relación entre los coeficientes de transferencia de calor de las dos superficies o lados opuestos es generalmente del orden de 3 a 4 y los valores absolutos son en general menores que los correspondientes a los intercambiadores de calor líquidolíquido en un factor de 10 a 100, por lo tanto se requiere un volumen mucho mayor para transferir la misma cantidad de calor. Existen muchas variedades de este tipo de intercambiador; las diferencias dependen de la distribución de configuración de flujo y de los aspectos específicos de construcción. La configuración mas común de flujo de intercambiadores líquido-líquido de coraza y tubos. Un factor muy importante para determinar el número de pasos del flujo por el lado de los tubos es la caída de presión permisible. El haz de tubos está provisto de deflectores para producir de este modo una distribución uniforme del flujo a través de él. Las torres de enfriamiento se han utilizado ampliamente para desechar en la atmósfera el calor proveniente de procesos industriales en vez de hacerlo en el agua de un río, un lago o en el océano. Los tipos más comunes son las torres de enfriamiento por convección natural y por convección forzada. En la torre de enfriamiento por convección natural el agua se pulveriza directamente en la corriente de aire que se mueve a través de la torre de enfriamiento por convección térmica. Al caer, las gotas de agua se enfrían tanto por convección ordinaria como por evaporación. La plataforma de relleno situada dentro de la torre de enfriamiento reduce la velocidad media de caída de las gotas y por lo tanto aumenta el tiempo de exposición de gotas a la corriente de aire en
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Diseño de equipos de Transferencia Transferencia de calor
Cuando los intercambiadores se van a emplear en la aviación, en la marina o en vehículos aerospaciales, las consideraciones de peso y tamaño son muy importantes. Con el fin de aumentar el rendimiento del intercambiador se fijan aletas a la superficie de menor coeficiente de transferencia de calor. Las dimensiones de la matriz del intercambiador así como el tipo, tamaño t amaño y dimensiones apropiadas de las aletas varían con la aplicación específica. Se han diseñado varios tipos que se han utilizado en numerosas aplicaciones. La remoción del calor sobrante en el condensador de una planta de fuerza que produce la electricidad para la propulsión, el comando y el equipo de comunicaciones de un vehículo espacial presenta problemas serios aún en plantas que generan sólo unos pocos kilovatios de electricidad. La única forma de disipar el calor sobrante de un vehículo espacial es mediante la radiación térmica aprovechando la relación de la cuarta potencia entre la temperatura absoluta de la superficie y el flujo de calor radiante. Por eso en la operación de algunas plantas de fuerza de vehículos espaciales el ciclo termodinámico se realiza a temperaturas tan altas que el radiador permanece al rojo. Aún así es difícil de mantener el tamaño del radiador para vehículos espaciales dentro de valores razonables. En los diversos tipos de intercambiadores que hemos discutido hasta el momento, los fluidos frío y caliente están separados por una pared sólida, en tanto que un regenerador es un intercambiador en el cual se aplica un tipo de flujo periódico. Es decir, el mismo espacio es ocupado alternativamente por los gases calientes y fríos entre los cuales se intercambia el calor. En general los regeneradores se emplean para recalentar el aire de las plantas de fuerza de vapor, de los hornos de hogar abierto, de los hornos de fundición o de los altos hornos y además en muchas otras aplicaciones que incluyen la producción de oxígeno y la separación de gases a muy bajas temperaturas. Para los intercambiadores estacionarios convencionales basta con definir las temperaturas de entrada y salida, las tasas de flujo, los coeficientes de transferencia de calor de los dos fluidos y las áreas superficiales de los dos lados del intercambiador. Pero para los intercambiadores rotatorios es
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Diseño de equipos de Transferencia Transferencia de calor
En el caso del flujo paralelo, un área infinita solo significa que la temperatura de ambos fluidos sería la lograda si se permitiera que ambos se mezclaran libremente en un intercambiador de tipo abierto. Para dichos cálculos se encuentran expresiones aritméticas que expresan las transferencia de calor lograda por diferentes tipos de intercambiadores de calor.
La refrigeración tiene por objetivo lograr aminorar la temperatura de un cuerpo por debajo de temperatura que existe en su cercanía alrededor. Se utiliza para la conservación de alimentos, aire acondicionado, procesos procesos industriales etc. Analizaremos dos de varios métodos de de refrigeración:
Consta de cuatro partes fundamentales: compresor, condensador, válvula o capilar de expansión, evaporador. Se utilizan una sustancia refrigerante refrigerante tal como el dióxido dióxido de carbono, carbono, amoniaco, freón o cloruro de metilo El vapor saturado seco se comprime. El vapor sobrecalentado se enfría y condensa, a presión constante, hasta que se convierte en líquido mediante enfriamiento por aire o agua, por ejemplo. El líquido se expande irreversiblemente a través de una válvula o capilar de expansión. El líquido (con algo de vapor) entra en el evaporador o cámara de refrigeración, donde se evapora, absorbiendo el calor de la cámara de refrigeración.
La diferencia fundamental entre el frigorífico de absorción de vapor y el de compresión de vapor es el método empleado para comprimir la sustancia refrigerante. Si el compresor se reemplaza reemplaza por el absorbedor, generador y bomba se obtiene un frigorífico de absorción de vapor. El principio de funcionamiento de esta máquina es como sigue: La sustancia refrigerante (generalmente NH3) entra en el absorbedor en estado gaseoso y allí se disuelve en el disolvente (generalmente agua) desprendiendo calor.
Esto reduce el volumen del NH3, pero no altera su presión. Para elevar la presión, la disolución acuosa de amoniaco se hace pasar a través de una bomba, donde se realiza el trabajo W sobre el
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Diseño de equipos de Transferencia Transferencia de calor
5.4 INTERCAMBIA INTERCAMBIADORES DORES DE CALOR DE DOBLE TUBO Es el intercambiador de calor mas simple que se conoce. Consiste en dos tubos concéntricos lisos o aleteados. Normalmente el fluido frío circula por el espacio anular y el fluido caliente circula por el interior del tubo interno. La disposición de los los tubos es como como se muestra en el siguiente siguiente gráfico:
Fig. 5.7 Intercambiador de calor calor de doble tubo. tubo.
Las partes principales de estos intercambiadores son: dos juegos de tubos concéntricos, dos tes conectoras, un cabezal de retorno y un codo en U. La tubería interior se soporta en la exterior mediante estoperos y el fluido fluido entra al tubo interior a través de una conexión roscada localizada localizada en la parte externa del intercambiador. Las tes tienen boquillas o conexiones roscadas que permiten la entrada y salida del fluido del anulo que cruza de una sección a otra a través del cabezal de retorno. La tubería interior se conecta mediante una conexión en U que está generalmente expuesta y que no proporciona superficie de transferencia de calor. Cuando se arregla en dos pasos como en la figura, la unidad se llama Los tubos interiores son de cuatro tipos: Lisos, corrugados y aleteados (transversal y longitudinal).
(b)
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Diseño de equipos de Transferencia Transferencia de calor
( c)
(d) Figura 5.8. 5.8. a. lisos, lisos, b. de aletas transversales transversales c. corrugados corrugados d. de aletas aletas longitudinales longitudinales
En la tabla 5.1 (ANEXOS) se dan los tamaños estándar de tubos t ubos IPS. Los intercambiadores de doble tubo se ensamblan con tubos de longitudes efectivas de 6,, 8, 10, 12, 15 o 20 pies. La longitud efectiva es la distancia en el tubo sobre la que ocurre la transferencia de calor y excluye la prolongación del tubo interior después de la sección del intercambio. La desventaja de estos intercambiadores es la pequeña superficie de transferencia de calor contenida en una horquilla simple, por lo que tienen mayor uso cuando la superficie total de transferencia requerida es pequeña, 100 a 200 pies 2 o menos.
5.5 DISEÑO DISEÑO DE UN INTERCAMBIADOR INTERCAMBIADOR DE CALOR CAL OR DE DOBLE TUBO Para el diseño de un intercambiador de doble tubo se siguen los siguientes pasos: 1. Balance térmico Q = m.cp.∆T. (intercambio de calor sensible) Donde: Q = calor total transferido, t ransferido, Btu/hr m = masa del fluido, lb/hr.
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Diseño de equipos de Transferencia Transferencia de calor
Suponiendo un flujo en paralelo MLTD
t 2 t 1 T 1 t 1 T 2 t 2 LnT 1 t 1 / T 2 t 2 lnt 2 / t 1
3. Propiedades físicas de los fluidos: (Anexos) a. Capacidad calorífica, cp ( Btu/lb.°F)
Tabla 5.6, 5.7, 5.8
b. Viscosidad, µ (lb/pie.hr)
Tabla 5.8, 5.9, Figura 5.65
c. Conductividad, k (Btu/hr.pie.°F)
Tabla 5.12 – 5.15
d. Densidad, ρ (lb/pie3)
Tabla 5.16
e. Coeficiente de resistencia a la incrustación, r (Btu/hr.pie 2.°F)-1 Tabla 5.17-5.18 Determinar las propiedades físicas a la temperatura media cuando se trata de fluidos no
viscosos, con con rango de temperatura =<100°F. En estas condiciones w
0.14
1.0
Determinar las propiedades físicas a la temperatura calórica, cuando se trata de fluidos viscosos, o hidrocarburos haciendo uso de la Figura 5.74. Utilizar las siguientes ecuaciones:
T C T 2 F C T 1 T 2
Fluido caliente
t C t 1 F C t 2 t 1
Fluido frío
4. Selección de los tubos IPS y sus características. (Usar tabla 5.4-5.5 de Anexos)
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Diseño de equipos de Transferencia Transferencia de calor
5. Determinación del curso de los fluidos. * El fluido de mayor masa irá por el tubo de mayor área de flujo. 6. Cálculo del coeficiente de película en el tubo interior, h t. 1/ 3
k cp. hi J H di k
w 1/ 3
k cp. hi 1.86 J H di k
ht hi
0.14
w
(para flujo turbulento)
0.14
(para flujo laminar)
di do
Donde: hi Coeficiente de película en el interior del tubo interior, Btu/hr.pie Btu/ hr.pie2.°F
ht Coeficiente de película en el interior del tubo interno corregido, Btu/hr.pie2.°F J h Factor térmico de Coldburn (leer en gráfico vs número de Reynolds, 5.77-5.78) w
Viscosidad a temperatura de la pared del tubo, lb/pie.hr
Nre
d i G . t
Gt
mt at
Donde: Gt es velocidad másica, lb/hr.pie2.
mt masa del fluido que circula por el tubo interior, lb/hr
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Diseño de equipos de Transferencia Transferencia de calor
U C
ht .ha ht ha
, Btu/hr.pie2.°F
9. Cálculo del coeficiente total de diseño, Ud.
1 Ud
1 Uc
Rd
Rd = r t r a
Rd = Factor de obstrucción, (Btu/hr.pie2.°F)-1 r t Coeficiente de resistencia a la incrustación del fluido en el tubo interno, (Btu/hr.pie2.°F)-1
r a Coeficiente de resistencia a la incrustación del fluido en el anulo, (Btu/hr.pie2.°F)-1 10. Cálculo del área requerida (A), pie 2. Q A Ud .T L Donde:
T L
Temperatura media logarítmica, °F
11. Cálculo de la longitud total del intercambiador, (L T), pies. A LT alt Donde: alt área lateral longitudinal del tubo, pies2 /pie 12. Cálculo del número de horquillas, (Nh). LT Nh
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Diseño de equipos de Transferencia Transferencia de calor
f 0.0035
0.264 ( Nre.' ) 0.42
Nre.'
d e' .G a
d e Di do = diámetro equivalente en el anillo, pulg. g’ = 32.17 pie/s2 N Re ' Numero de Reynolds en el anulo calculado con d e e '
’ ’
n = número de horquillas. Di= diámetro interior del tubo exterior, pulg. do= diámetro exterior del tubo interior, pulg.
La caída de presión máxima permisible para los líquidos es 10 psia, y en los gases y vapores es 1 psia. En algunos casos excepcionales se puede aceptar hasta 3 psia psia para los gases. Si al término del diseño la caída de presión es mayor que la máxima permisible, se debe hacer un rediseño. rediseño. Por lo general solo es es necesario cambiar cambiar los tubos por otros
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Diseño de equipos de Transferencia Transferencia de calor
Fluido caliente, T1
Fluido frío, t2
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Diseño de equipos de Transferencia Transferencia de calor
5.6 INTERCAMBIA INTERCAMBIADORES DORES DE CALOR DE DE CARCASA Y TUBOS
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Diseño de equipos de Transferencia Transferencia de calor
Es un cilindro metálico que envuelve al haz de tubos cuyo diámetro sigue las codificaciones de tuberías siguientes: : Cuando el diámetro del del casco (Ds) es: Ds ≤ 24” . Es un tamaño estándar y el espesor es 3/8” 3/8”
y soporta una presión límite de 300 psig.
: Cuando el diámetro del casco (Ds) ES: Ds>24”, y el espesor se calcula calcula en base a códigos
para cálculo de espesor de tanques y recipientes. Existen varios tipos de casco :
a. De un solo paso (1-1): significa un paso en el casco y un paso en los tubos. b. De dos pasos (1-2): significa un paso en el casco y dos pasos en los tubos. c. De 2-4 pasos: Que significa 2 pasos en el casco y 4 pasos en los tubos. d. De 3-6 pasos: Que significa 3 pasos en el casco y 6 pasos en los tubos. t ubos. e. Otros: 4-8, 5-10, 6-12. f.
Intercambiadores de flujo partido: Los circulación de los fluidos es transversal.
Como el caso de los intercambiadores de doble tubo, aquí los tubos pueden ser:
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Diseño de equipos de Transferencia Transferencia de calor
ARREGLO TRIANGULAR C Pt
Pt
De ápice vertical
De ápice horizontal
El arreglo triangular permite menor acceso a la limpieza li mpieza y acomoda un número mayor de tubos en el haz. Se usa para fluidos fluidos limpios y que tengan baja resistencia a la incrustación. Produce altas caídas de presión. Las dimensiones recomendadas son: Para tubos de ¾”OD le corresponde Pt= 15/16” Para tubos de 1”OD le corresponde Pt= 1¼”
El número de tubos en el haz se determina con ayuda de la tabla 5.21.
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Diseño de equipos de Transferencia Transferencia de calor
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Diseño de equipos de Transferencia Transferencia de calor
carcasa es reducida este problema se puede solucionar con la colocación de fuelles de expansión en la carcasa. Se usa para T 93°F. Este tipo de construcción se utiliza en servicios sucios asociados a altas temperaturas y presiones. Económicamente resulta aproximadamente un 25 % más caro que la placa tubular fija. El haz tubular consiste en tubos rectos asegurados en cada extremo con una placa tubular. En la parte posterior se cierran los tubos mediante el cabezal flotante. El haz tubular se puede extraer con facilidad para limpieza y mantenimiento. Los tubos pueden ser limpiados mecánicamente tanto por la parte exterior como interior de los tubos. Se usa para
T >>93°C
(200°F). Este tipo de construcción resulta ligeramente
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Diseño de equipos de Transferencia Transferencia de calor
Las dimensiones de un intercambiador vienen definidas por números que representan el diámetro de la carcasa y la longitud de los tubos. Es el diámetro interior de la envolvente generalmente en pulgadas. En el caso de evaporadores tipo KETTLE deben aparecer dos diámetros (del haz y envolvente respectivamente). respectivamente).
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Diseño de equipos de Transferencia Transferencia de calor
Tal como se mencionó arriba el mínimo paso entre tubos para intercambiadores tubulares es 1.25 veces el diámetro exterior de los tubos. Sin embargo para tubos de 3/ 4”, que según esta indicación correspondería un paso de 0.9375”, la distancia entre las paredes de dos tubos contiguos, sería de 0.1875”; esta dis tancia tan pequeña puede crear problemas en la unión de tubos a placas. Cuando se requieren canales para limpieza mecánica deberá emplearse una separación mínima de 0.25" y el arreglo de los tubos es cuadrado. Las cuatro disposiciones que se usan en intercambiadores de carcasa y tubos t ubos son: triangular (ápice
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Diseño de equipos de Transferencia Transferencia de calor
Pantallas segmentadas al 25% de segmento simple vertical
Pantallas segmentadas al 25% de segmento simple horizontal
Estas pantallas se utilizan para transferencia de calor sensible, sin cambio de fase.
Estas pantallas se utilizan para vaporización y condensación. En transferencia sin cambio de fase con sólidos en suspensión.
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Diseño de equipos de Transferencia Transferencia de calor
5.15 INTERCAMBIA INTERCAMBIADORES DORES DE CALOR CAL OR DE PLACAS PLACA S El intercambiador de placas consiste de un conjunto de placas corrugadas o ranuradas de metal sostenidas por un armazón, el cual consiste de una placa fija, una placa de presión y partes de conexión. Las placas se acomodan verticalmente y paralelas una tras otra y son presionadas sobre el armazón. Las placas extremas no intervienen intervienen en la transferencia de calor. En la figuras 5.38 y 5.39 se muestran el acomodo de las placas y la dirección de los fluidos.
Figura 5.47. Partes de un intercambiador intercambiador de calor calor de placas
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Diseño de equipos de Transferencia Transferencia de calor
Figura 5.48. Flujos en intercambiador de de placas
DISPOSIC DISPOSICIÓN IÓN DE LAS L AS PLAC AS
Figura 5.49 Disposición de las placas placas
Al juntar las placas a presión unas a otras, las corrugaciones forman estrechos estrechos canales para el
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Diseño de equipos de Transferencia Transferencia de calor
Figura 5.50. Disposición de las empaquetaduras empaquetaduras
El arreglo de las empaquetaduras en las placas placas según convenga, permiten arreglar el flujo en contracorriente y los flujos individuales, los flujos pueden ser divididos en corrientes paralelas, así mismo las empaquetaduras sellan a las placas en sus bordes en todo su alrededor, haciendo el diseño respectivo para dar lugar a las entradas y salidas que pueden ser en el tope o en el fondo. Las empaquetaduras también proveen un doble sello entre las corrientes de los fluidos haciendo imposible la mezcla, también se pueden hacer una gran combinación de canales, de tal manera que el conjunto de placas se puede ajustar para diferentes servicios. Existen diferentes tipos de placas y una buena selección permite optimizar la transferencia de calor y las caídas de presión. El tamaño y espesor de las placas están relacionados al tipo particular de placas (corrugadas o ranuradas). En la actualidad aún no existe un diseño estándar común para el intercambiador de placas tal como el de la TEMA o la BSS para intercambiadores tubulares. Las placas pueden ser construidas de materiales que pueden ser trabajados en frío, sin someterlos a un proceso de soldadura. Los materiales comunes de intercambiadores de placas son acero inoxidable, titanio, níquel, monel, incoloy 825, hastelloy C, bronce al fósforo y cobre-niquel. Los materiales que poseen titanio proveen una gran resistencia a la corrosión. El
de las placas varía entre
(ancho de los canales) está entre
. . Los
promedio entre placas de las placas varían entre
m2. Las se extienden desde grandes intercambiadores de placas manejan flujos de hasta 2500 m 3 /h.
. Los
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Diseño de equipos de Transferencia Transferencia de calor
a)
cuando una corriente continua cambia de dirección después de cada
recorrido vertical. b)
la corriente principal se divide en subcorrientes para converger
posteriormente en una sola. Los arreglos posibles en un intercambiador i ntercambiador de placas son: a)
Arreglo en paralelo
b) c)
Arreglo en Arreglo en
El número de canales paralelos está dado por el rendimiento del intercambiador y la caída de presión permisible. El mayor número de d e canales disminuye la caída de presión. El número de canales en serie es determinado por la eficiencia y los requerimientos de intercambio de calor. Si un líquido es enfriado en flujo viscoso, el número de canales puede ser reducido para incrementar la velocidad y por lo consiguiente aumentar el coeficiente de transferencia transferencia de calor. En la figura 4 se muestra los modelos de flujo y arreglos para los intercambiadores de placas.
DISTRIBUCIÓN DE FLUJO La distribución de flujo a través de los canales en un paso, usualmente se asume como uniforme. Este no puede ser el caso para fluidos viscosos, cuando los canales son anchos y el número de placas pl acas es grande. El cálculo de la distribución di stribución actual de flujo no es fácil. La distribución de flujo a través de las placas en conjunto, es determinada por los perfiles de presión en las dos diversificaciones (las diversificaciones de entrada y salida para cada corriente). En el arreglo en los canales de entrada y salida para cada corriente están en la misma placa final, pero ellos están en las placas finales opuestas en el arreglo en . Los perfiles de pr esión en las distribuciones son determinadas por dos d os factores: 1) La fricción del fluido 2) Los cambios de velocidad del fluido (la velocidad del fluido disminuye a medida que se diversifica el flujo de entrada, y aumenta a medida que se diversifica el flujo de salida). Las variaciones en la presión debido a estos dos factores pueden ser en la misma dirección o en la dirección opuesta dependiendo de la l a diversificación de flujo de entrada y salida (figura 5.51-5.52).
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Diseño de equipos de Transferencia Transferencia de calor
Figura 5.51.
Modelos de flujos y arreglos
Figura 5.52. Variación de la presión y distribución distribución de flujo flujo en los canales
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Diseño de equipos de Transferencia Transferencia de calor
Si observamos la figura 5.44, el flujo en un canal puede recibir simultáneamente calor de dos corrientes adyacentes que fluyen en direcciones opuestas. Para aumentar la transferencia tr ansferencia de calor se adicionan mas placas, así se pueden obtener otros modelos de flujo más complejos y muchas configuraciones. Según el modelo de flujo, en los intercambiadores de placas, la diferencia de temperaturas media logarítmica, se puede ajustar usando un factor de corrección.
Figura 5.53. Mecanismo de transferencia transferencia de calor
Las placas según su construcción generalmente generalmente se denominan “suaves” o “duras”. Las suaves se caracterizan por sus bajos coeficientes de transferencia y pequeñas caídas de presión por paso. Las placas duras son mas complejas, son largas y angostas, y tienen profundas corrugaciones y pequeños espacios espacios entre placas. placas. Las placas suaves son anchas y cortas. Para decidir el tipo de placa para un servicio particular, se hace uso del número de unidades de transferencia (HTU ): ): HTU
t 1 t 2
t m
(2 Ap.U ) ( M .Cp)
(Ec.1)
HTU , también es conocido como el factor de performance, longitud térmica o razón de
temperaturas, y puede definirse como el cambio total de temperatura para cada fluido, dividido por la diferencia media aritmética de temperaturas en el intercambiador. Se toma el mayor valor resultante. También se puede calcular con el método de la carga mínima. Se calcula el m.Cp para cada fluido, el de mínimo valor se se remplaza en la ecuación siguiente: HTU
(U . Ad ) ( m.Cp) min
(Ec. 2)
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Diseño de equipos de Transferencia Transferencia de calor
La selección de un determinado tipo de intercambiador (tamaño, cantidad de placas y modelos de flujo) es complicado. Sin embargo, un determinado tamaño de placas puede seleccionarse para operaciones líquido –liquido mediante el uso de correlaciones generalizadas.
La diferencia de temperaturas media logarítmica (MLTD) ó
T L para
un intercambiador de placas
se determina por:
(Ec.3) El factor térmico se determina con ayuda de l gráfico que se muestra abajo. Figura 5.54. Factor térmico vs HTU 1.0 5/5
0.9
4/4 2/2
0.8 Ft
1/1 y 3/3
2/1
0.7
3/1
0.6
4/1
0.5 0
1
2
3
4
5
HTU
6
7
8
9
10
11
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Diseño de equipos de Transferencia Transferencia de calor
INCRUSTACIONES EN LAS PLACAS
La tendencia a formar incrustaciones en un intercambiador de placas es disminuida debido a las altas turbulencias en el flujo (lo cual mantiene los sólidos en suspensión), las áreas lisas de las placas y la ausencia de zonas de baja velocidad (tal como las presentes en el lado del casco en intercambiadores tubulares). El material de las placas resistente a la corrosión también reduce la tendencia a formar incrustaciones en intercambiadores de placas, debido a que los productos de corrosión, los cuales pueden formar incrustaciones están ausentes. Los factores de incrustación para diseño diseño de intercambiadores de placas placas están entre el 10 y 20 % de los factores dados para los intercambiadores tubulares. La fácil accesibilidad a la limpieza, ya sea química o mecánica también permite un bajo factor de incrustación para diseño. PROVEEDORES DE PLACAS http://www.hfm-phe.com/product/vicarb-gaskets-plates.html http://www.alfalaval.lat/productos/transferencia-de-calor/plate-heat-exchangers/intercambiadores-de-calorde-placas-y-bastidor-con-juntas/alfacond/ http://www.spxflow.com/en/apv/pc-heat-exchangers/ Fig. 5.55 Intercambiador de calor de placas.
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Diseño de equipos de Transferencia Transferencia de calor
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Diseño de equipos de Transferencia Transferencia de calor
5.16 DISEÑO DISEÑO DEL INTERCAMBIADOR INTERCAMBIADOR DE CALOR DE PLACAS
Para aplicar el siguiente método de diseño se asume lo siguiente: Las pérdidas de calor son despreciables No hay espacios con aire en los intercambiadores i ntercambiadores
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Diseño de equipos de Transferencia Transferencia de calor
3. Determinar las resistencias resistencias a la incrustación incrustación (uso de tablas) 4. Calcular la temperatura media logarítmica,
T L
5. Configurar las características características del intercambiador intercambiador de placas. Área de la placa térmica
: A p
Ancho de la placa
: L
Altura de la placa
: h
Espacio entre placas
: b
6. Calcular el número de unidades de transferencia para cada fluido: fluido: HTU Método HTU:
Fluido .caliente : HTU
T 1 T 2
T L
Fluido . frio frio : HTU
t 2 t 1 T L
Se toma la suma de los dos, dos, o el mayor según sea sea el método a usar. Método (w.cp) min min
se calcula
(wxCp)c y (wxCp)f , y se escoge el menor.
debe coincidir con con el mayor valor del Luego se calcula: (Ud*Ad)/(w*Cp) min min , este debe método anterior.
7. Estimar un valor de
U D .
7.1 Calcular el área total de transferencia t ransferencia de calor:
A
q
U D .T L .Ft 7.2 Calcular el número total de placas térmicas, Np, y Número total de canales, Nc. Np
A
A p
=
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Diseño de equipos de Transferencia Transferencia de calor
Suponer la unidad seleccionada con el número de pasos para cada fluido y el número de canales por paso. Por ejemplo: Intercambiador de placas Al placas Alfa fa L aval P2 con P2 con 11 placas, 3 pasos para cada fluido y 2 canales por paso .
7.6 Determinar el factor de corrección Ft en función del HTU y tipo de arreglo, Figura 7.
Para un intercambiador con igual número de pasos para ambos fluidos, se toma NTU total Con el valor del NTU y el tipo de arreglo del intercambiador por pasos, en la figura 5 se lee Ft. 7.7 Determinar canales para fluido frio y caliente. Número de canales del Fluido caliente, Ncc=Np/2 Número de canales del Fluido frío, Ncf= (Np/2) + 1 7.8 Calcular los coeficientes de película para cada fluido en función del Número de Reynolds ( Re ) Una expresión muy conocida adoptada para estimar el coeficiente de película para en intercambiadores de placas es: El diámetro equivalente D e es definido como 4 veces el área de sección transversal del canal e es dividido por el perímetro húmedo del canal. De = (4 W b) / (2 W + 2 b) Si la distancia entre placas ( b ) es muy pequeña comparado con el ancho de las placas ( W ), ), se puede aproximar:
De = 2 b , para el coeficiente de película se puede usar la
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Diseño de equipos de Transferencia Transferencia de calor
Numero de Prant = Npr=(Cp*µ*2.42)/k 7.9 Calcular el coeficiente total Limpio de transferencia de calor, Uc Uc
h1 xh2 h1 h2
, donde 1 y 2 corresponden a cada uno de los fluidos. fluidos.
7.10 Calcular el coeficiente total de diseño, Ud. 1 1 factor de obstrucción, r 1 r 2 Rd , donde Rd es el factor Ud Uc
7.11 Calcular el área total necesaria para la transferencia de calor: A A
Q Ud .T L .F T
7.12 Calcular área disponible y comparar con el área necesaria
Ad = Np x Ap Ad debe ser mayor que A ( el exceso no debe ser mayor del 15 %) Si esto se cumple, el número de placas calculado es correcto, de lo contrario hacer otra iteración retornando al paso 7. 8. Calcular las caídas de presión P para para cada fluido. La ecuación que permite el cálculo de la pérdida por fricción es la ecuación de Fanning:
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Diseño de equipos de Transferencia Transferencia de calor
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Diseño de equipos de Transferencia de calor
5.17 DISEÑO DE INTERCAMBIADORES INTERCAMB IADORES DE CALOR CAL OR DE CHAQUETA SIN AGITACION
El coeficiente total de transferencia para el cálculo del área, viene dado de acuerdo al material y al fluido que circula por la chaqueta. Tabla 5.1 Coeficientes de película para intercambiadores de chaqueta
Fluido en la chaqueta Vapor Vapor Vapor Vapor Vapor
Fluido en el recipiente
Agua Solución acuosa Sustancias orgánicas Hidroc. No viscosos Comp. Organic.medios
Material de la pared del recipiente Cobre Acero inoxidable Acero inoxidable Acero inoxidable Acero inoxidable
CON AGITACION El diseño depende de las variables de diseño del recipiente: Fluido de proceso (t1)
Coeficiente Total de Transferencia Btu/hr.pie2.°F 200 – 300 300 75 – 80 80 50 – 150 150 30 – 70 70 10 - 20
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Diseño de equipos de Transferencia de calor
Cálculo de U: 1/U = 1/hj + rj + 1/hf + rf hf = Coeficiente de película del fluido en la chaqueta Hj = Coeficiente de película del fluido en el tanque R = resistencia a la incrustación Coeficiente de película en el lado de la chaqueta, hf
Hf es un valor típico que depende de la naturaleza del lado. Coeficiente de película para el lado del tanque, hj
hj = Jj ( k/Dj )(Cp.
/
k)1/3 (μ/μw)0.14
Jj se ubica en la Fig. 23 en función a Nre. Nre = ( L 2.N.ρ) / μ Donde : L = Longitud de la paleta de agitación
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Diseño de equipos de Transferencia de calor
5.18 DISEÑO DE RECIPIENTES RECIPIENTES CON SERPENTIN SERPENTIN SUMERGIDO Pueden ser de dos tipos: De espiral simple y de espiral plano
DH
DH
Dj
Dj
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Diseño de equipos de Transferencia de calor
Calculo de Ud Ud = Uc . hf /(Uc + hf)
donde hf = 1/r
Calculo del área requerida A = Q / Ud. T Area de cada vuelta vuelta del serpentín: serpentín: a = . DH .alt, pie2 / vuelta Calculo del N° de vueltas vueltas = Nv = A /a
5.19 DISEÑO DE TANQUES CON SERPENTIN SERPENTIN Y AGITACIÓN AGITA CIÓN Para agitadores de paletas sin deflectores: ht = 0.87 (k/dj)(L2.N/)0.62 (cp./k)1/3 (/w)0.14
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Diseño de equipos de Transferencia de calor
Figura 5.59 Intercambiador de calor de serpentín
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Diseño de equipos de Transferencia de calor
En tabla de caracteristicas de tubos para intercambiadores de calor: Para tubo de ½”OD, ½”OD, alt = 0.1309 pie2/pie pie2/pie
Calculo de Coeficiente de Pelicula en el tanque Nre = L2.N.r / m L = 7.2/12 = 0.6 pies Nre = (0.26)2(7500)(62.5) (0.26)2(7500)(62.5) / 1.06 = 159200 En Fig.36 Jc = 1700 1/3 0.14 w) = 1700 (0.38/1.0)(1.0 x 1.06/0.38) 1/3 (1.0) hc = 900 Btu / hr.pie2.°F hr.pie2.°F Calculo de coeficiente de película en el serpentín ht = 1500 Btu/hr.pie2.°F Calculo del coeficiente total limpio, Uc Uc = ( hc x ht )/ (hc + ht) = (900 x 1500) 1500) / (1500 + 900) = 562 Si r = 0.005 Entonces 1/r = 1/0.005 = 200 = hf Ud = (Uc x hf)/(Uc hf)/(Uc + hf) = (562 x 200) / (562 + 200) = 147.5 147.5 Área requerida : -150)) = 3.16 pie2
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Diseño de equipos de Transferencia de calor
Tabla 5.3 Guía para la selecció n de un int ercambiador d e calor calor
Fluidos de baja viscosidad v iscosidad ( < < 10 cp)
El requiere pequeñas áreas de transferencia.Para transferencia.Para fluidos no corrosivos a altas temperaturas o altas presiones, usar intercambiadores tubulares Para fluidos no corrosivos, usar de acero al carbono.Para cargas corrosivas, para mantener la
Líquidos de baja viscosidad o
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Diseño de equipos de Transferencia de calor
5.21 TABLAS Y GRAFICOS
Tabla 5.4 Tubos IPS para intercambiadores de calor de doble tubo
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Diseño de equipos de Transferencia de calor
Tabla 5.6 Capacidad Calorífica de líquidos , Cp
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Diseño de equipos de Transferencia de calor
Continuación… Tabla 5.6 Capacidad Calorífica de líquidos, Cp
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Diseño de equipos de Transferencia de calor
Tabla 5.7 Capacidad Calorífica de de gases, Cp
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Diseño de equipos de Transferencia de calor
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Diseño de equipos de Transferencia de de calor
Figura 5.70 LMTD Correction Factor ( 4 shell passes; passes; 8 o more tuve passes)
Dr. Pedro Angeles Angeles Chero
119
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Diseño de equipos de Transferencia de de calor
Figura 5.71 MLTD Factor para para intercambiadores 5-10 (Standard of Tubular Exchanger Manufacturers Association , 2da Ed. , New York)
Dr. Pedro Angeles Angeles Chero
120
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Diseño de equipos de Transferencia de de calor
Figura 5.72 MLTD Factor para intercambiadores 6-12 (Standard of of Tubular Exchanger Manufacturers Association , 2da Ed. , New York)
Dr. Pedro Angeles Angeles Chero
121
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Diseño de equipos de Transferencia de calor
Tabla 5.22 Coeficientes totales totales típicos para diseño diseño en intercambiadores de de calor Fluido caliente
Fluido frío
(W/m2. C)
BTU/hr.pie2.°F
Intercambiadores de calor sensible
Agua
Agua
1420 – 2840
250 - 500
Solución acuosa
Solución acuosa
1420 – 2840
250 - 500
Sustancia orgánica ligera
Sustancia orgánica ligera
225 - 450
40 - 80
Sustancia orgánica media
Sustancia orgánica media
150 - 400
26 – 70
Sustancia orgánica pesada
Sustancia orgánica pesada
20 - 250
4 - 44
Sustancia orgánica pesada
Sustancia orgánica ligera
150 - 300
26 - 53
Sustancia orgánica ligera
Sustancia orgánica pesada
100 – 400
18 - 70
Enfriadores
Solventes orgánicos
Agua
250 – 750
44 - 132
Aceites ligeros
Agua
350 – 900
62 - 159
Agua
Agua
1420 – 2840
250 - 500
Metanol
Agua
1420 – 2840
250 - 500
Amoniaco
Agua
1420 – 2840
250 - 500
Solución acuosa
Agua
1420 – 2840
250 - 500
Sustancia orgánica ligera
Agua
426 - 851
75 – 150
Sustancia orgánica media
Agua
283 - 710
50 – 125
Sustancia orgánica pesada
Agua
28 - 426
12 - 75
Gases
Agua
20 – 300
10 - 50
Agua
Salmuera
600 – 1200
100 - 200
Sustancia orgánica ligera
Salmuera
220 - 600
40 - 100
Aceites pesados
Agua
60 – 300
Solventes orgánicos
Salmuera
150 – 300
25 - 50
Gases
Salmuera
15 – 250
5 - 40
Fondos de vacio
Agua
110 - 140
20 - 25
Gasóleo pesado
Agua
230
40
DEA regenerada
agua
630
110
-
50
Calentadores
Vapor de agua
Agua
1200 – 4000
210 - 700
Vapor de agua
Solventes orgánicos
500 – 1000
90 - 180
Vapor de agua
Metanol
1200 – 4000
210 – 700
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Diseño de equipos de Transferencia de calor
Vapor de agua
Solución acuosa > 2 cp
700 - 3000
125 - 300
Vapor de agua
ceites ligeros
300 – 900
55 - 160
Vapor de agua
ceites pesados
60 – 450
10 - 80
Vapor de agua
Gases
30 – 300
5 - 50
Vapor de agua
Sustancia orgánica ligera
290 - 570
50 - 100
Vapor de agua
Sustancia orgánica mediana
570 - 1200
100 - 200
Vapor de agua
Sustancia orgánica pesada
35 – 350
6 - 60
50 – 300
10 - 55
20 – 200
4 - 35
Dowtherm
ceites pesados
Dowtherm
Gases
Gases de combustión
Vapor
30 – 100
5 - 20
Caldero
Vapores de hidrocarburos
30 – 100
5 - 20
Condensadores
Vapores acuosos
Agua
100 – 1500
20 - 265
Vapores orgánicos
Agua
700 – 1000
125- 180
Orgánicos (con no condens.)
Agua
500 – 700
90 - 125
Condensación al vacío
Agua
200 – 500
35 - 90
Vapor
Soluciones acuosas
100 – 1500
20 - 260
Vapor
Orgánicos ligeros
900 – 1200
160 - 210
Vapor
Orgánicos pesados
600 - 900
105 - 160
Agua
aire
300 – 450
55 - 80
Orgánicos ligeros
Aire
300 – 700
55 - 125
Orgánicos pesados
aire
50 – 150
10 - 26
Gases, 5 – 10 bar
Aire
50 – 100
10 – 18
Gases, 10 – 30 bar
Aire
100 – 300
18 - 55
Hidrocarburos condensando
aire
300 – 600
55 - 105
Vaporizadores
Enfriadores de aire
Enfriadores sumergidos Espiral
Tanque
Circulación natural
Vapor
Soluciones acuosas diluidas
500 – 1000
90 – 176
Vapor
Aceites ligeros
200 – 300
35 – 55
Vapor
Aceites pesados
70 – 150
12 - 26
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Diseño de equipos de Transferencia de calor
Con agitación
Vapor
Soluciones acuosas diluidas
800 – 1500
140 – 165
Vapor
Aceites ligeros
300 – 500
53- 88
Vapor
Aceites pesados
200 – 400
35 - 70
Soluciones acuosas
Agua
400 – 700
70 - 123
Aceites ligeros
Agua
200 – 300
35 - 53
Tanques enchaquetados Chaqueta
Tanque
Vapor
Soluciones acuosas diluidas
500 – 700
88 – 123
Vapor
Orgánicos ligeros
250 – 500
44 - 88
Agua
Soluciones acuosas diluidas
200 – 500
35 - 88
Agua
Orgánicos ligeros
200 - 300
35 - 53
Sustancia orgánica ligera: Fluido con viscosidad menor de 0.5 cp, e incluye benceno, tolueno, acetona, etanol. Metiletilcetona, gasolina, kerosene, y nafta. Sustancia orgánica media: Fluido con viscosidad de 0.5 a 1.0 cp, e incluye kerosene, gasoil caliente caliente,, aceite de absorbedor y crudos. Sustancia orgánica pesada: Fluido con viscosidad > 1.0 cp, e incluyegasoil incluyegasoil frio, aceites lubricantes, petróleo combustible, petróleo crudo, brea y asfaltos.
Table 5.23
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Diseño de equipos de Transferencia de calor
Tabla 5.24 Coeficientes Totales de Transferencia Transferencia para recipientes enchaquetados
Fluido en la chaqueta
Fluido en el recipiente
Material de la pared del recipiente
Coeficiente Total de Transferencia Btu/hr.pie2.°F J / (m2.s.°k)
Vapor
Agua
Acero inoxidable
150 – 300
850 – 1700 1700
Vapor
Solución acuosa
Acero inoxidable
80 – 200
450 – 1140 1140
Vapor
Sustancias orgánicas
Acero inoxidable
50 – 150
285 – 850 850
Vapor
Aceite ligero
Acero inoxidable
60 – 160
340 – 910 910
Vapor
Aceite pesado
Acero inoxidable
10 – 50
57 – 285 285
Salmuera
Agua
Acero inoxidable
40 – 180
230 1625
Salmuera
Solución acuosa
Acero inoxidable
35 – 150
200 – 850 850
Salmuera
Sustancias orgánicas
Acero inoxidable
30 – 120
170 – 680 680
Salmuera
Aceite ligero
Acero inoxidable
35 – 130
200 – 740 740
Salmuera
Aceite pesado
Acero inoxidable
10 – 30
57 – 170 170
Aceite térmico
Agua
Acero inoxidable
50 – 200
285 – 1140 1140
Aceite térmico
Solución acuosa
Acero inoxidable
40 – 170
230 – 965 965
Aceite térmico
Sustancias orgánicas
Acero inoxidable
30 – 120
170 – 680 680
Aceite térmico
Aceite ligero
Acero inoxidable
35 – 130
200 – 740 740
Aceite térmico
Aceite pesado
Acero inoxidable
10 - 40
57 - 230
Vapor
Agua
CS recubierto de vidrio
70 – 100
400 – 570 570
Vapor
Solución acuosa
CS recubierto de vidrio
50 – 85
285 – 480 480
Vapor
Sustancias orgánicas
CS recubierto de vidrio
30 – 70
170 – 400 400
Vapor
Aceite ligero
CS recubierto de vidrio
40 – 75
230 – 425 425
Vapor
Aceite pesado
CS recubierto de vidrio
10 – 40
57 – 230 230
Salmuera
Agua
CS recubierto de vidrio
30 – 80
170 – 450 450
Salmuera
Solución acuosa
CS recubierto de vidrio
25 – 70
140 – 400 400
Salmuera
Sustancias orgánicas
CS recubierto de vidrio
20 – 60
115 – 340 340
Salmuera
Aceite ligero
CS recubierto de vidrio
25 65
140 370
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Diseño de equipos de Transferencia de calor
Tabla 5.25 Coeficientes Totales de de Transferencia para para recipientes con serpentín serpentín Fluido en el tubo serpentín
Fluido en el recipiente
Coeficiente Total Limpio
Coeficiente Total de Diseño
Btu/hr.pie2.°F
Btu/hr.pie2.°F
Conv.natural
Conv.forzada
Conv.natural
Conv.forzada
CALENTAMIENTO
Vapor
Solución acuosa
250 – 500
300 – 550
100 – 200
150 – 275 275
Vapor
Aceite ligero
50 – 70
110 – 140
40 – 45
60 – 110 110
Vapor
Aceite lubricante mediano 40 – 60
100 – 130
35 – 40
50 – 100 100
Vapor
Petróleo Bunker C
20 – 40
70 – 90
15 – 30
60 – 80 80
Vapor
Alquitrán asfaltado
15 – 35
50 – 70
15 – 25
40 – 60 60
Vapor
Azufre fundido
35 – 45
45 – 55
20 – 35
35 – 45 45
Vapor
Parafina fundida
35 – 45
45 – 55
25 – 35
40 – 50 50
Vapor
Aire o gases
2 – 4 4
5 – 10
1 – 3 3
4 – 8 8
Vapor
Melazas o jarabes de cereales
20 – 40
70 – 90
15 .- 30
60 – 80 80
Agua caliente
Soluciones acuosas
115 – 140
200 – 250
70 – 100
110 – 160 160
Aceite caliente
Alquitrán asfaltado
12 – 30
45 – 65
10 – 20
30 – 50 50
Dowtherm
Alquitrán asfaltado
15 – 30
50 – 60
12 – 20
30 – 50 50
ENFRIAMIENTO Agua
Solución acuosa
110 – 135
195 – 245
65 – 95
105 – 155 155
Agua
Aceite enfriador
10 – 15
25 – 45
7 – 10
15 – 25 25
Agua
Aceite lubricante mediano
8 – 12
20 – 30
5 – 8
10 – 20 20
Agua
Aceite pesado
7 – 10
18 – 26
4 – 7 7
8 – 15 15
Agua
Mezcla o jarabe de granos
2 – 4 4
5 – 10
1 – 3 3
4 – 8 8
Freón o Amoniaco
Solución acuosa
35 – 45
60 – 90
20 – 35
40 – 60 60
Salmuera de calcio o sodio
Solución acuosa
100 - 120
175 - 200
50 - 75
80 – 125 125
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Diseño de equipos de Transferencia de calor
Tabla 5.26. Propiedades térmicas de materiales de construcción y aislantes Valores que toman las propiedades térmicas de materiales empleados en construcción, algunos de los cuales se utilizan como aislantes, y la de algunos elementos o sustancias de referencia.
Densidad (kg/m 3)
Calor específico (J/(kg·K))
Conductividad térmica (W/(m·K))
Difusividad térmica (m 2/s) (x10-6)
Acero
7850
460
47-58
13,01-16,06
Agua
1000
4186
0,58
0,139
Aire
1,2
1000
0,026
21,67
Alpaca
8,72
398
29,1
8384,8
Aluminio
2700
909
209-232
85,16-94,53
Amianto
383-400
816
0,078-0,113
0,250-0,346
Arcilla refractaria
2000
879
0,46
0,261
Arena húmeda
1640
-
1,13
-
Arena seca
1400
795
0,33-0,58
0,296-0,521
Asfalto
2120
1700
0,74-0,76
0,205-0,211
Baldosas cerámicas
1750
-
0,81
-
Baquelita
1270
900
0,233
0,201
Bitumen asfáltico
1000
-
0,198
-
Bloques cerámicos
730
-
0,37
-
Bronce
8000
360
116-186
40,28-64,58
Carbón (antracita)
1370
1260
0,238
0,139
Cartón
-
-
0,14-0,35
-
Cemento (duro)
-
-
1,047
-
Cinc
7140
389
106-140
38,16-50,41
Cobre
8900
389
372-385
107,45-111,20
Corcho (expandido)
120
-
0,036
-
Corcho (tableros)
120
1880
0,042
0,186
Espuma de poliuretano
40
1674
0,029
0,433
Material
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Diseño de equipos de Transferencia de calor
Hormigón
2200
837
1,4
0,761
1600-1800
-
0,75-0,93
-
Láminas de fibra de madera
200
-
0,047
-
Ladrillo al cromo
3000
840
2,32
0,921
Ladrillo común
1800
840
0,8
0,529
Ladrillo de circonio
3600
-
2,44
-
Ladrillo de magnesita
2000
1130
2,68
1,186
Ladrillo de mampostería
1700
837
0,658
0,462
Ladrillo de sílice
1900
-
1,070
-
100-200
670
0,036-0,040
0,537-0,299
Latón
8550
394
81-116
24,04-34,43
Linóleo
535
-
0,081
-
Litio
530
360
301,2
1578,61
Madera
840
1381
0,13
0,112
Madera de abedul
650
1884
0,142
0,116
Madera de alerce
650
1298
0,116
0,137
Madera de arce
750
1591 1591
0,349
0,292
Madera de chopo
650
1340
0,152
0,175
Madera de fresno
750
1591
0,349
0,292
Madera de haya
800
1340
0,143
0,133
Madera de haya blanca
700
1340
0,143
0,152
Madera de pino
650
1298 1298
0,163
0,193
Madera de pino blanco
550
1465
0,116
0,144
Madera de roble
850
2386
0,209
0,103
Mármol
2400
879
2,09
0,991
Mica
2900
-
0,523
-
Mortero de cal y cemento
1900
-
0,7
-
Mortero de cemento
2100
-
1,4
-
Hormigón de cascote
Lana de vidrio
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Diseño de equipos de Transferencia de calor
Poliestireno
1050
1200
0,157
0,125
Porcelana
2350
921
0,81
0,374
Serrín
215
-
0,071
-
Tierra de diatomeas
466
879
0,126
0,308
Tejas cerámicas
1650
-
0,76
-
Vermiculita expandida
100
837
0,07
0,836
Vermiculita suelta
150
837
0,08
0,637
Vidrio
2700
833
0,81
0,360
Yeso
1800
837
0,81
0,538
Donde: Densidad (ρ): masa de material por unidad de volumen: ρ = m / V (kg/m3). Calor específico (C ): cantidad de energía necesaria para aumentar en 1 ºC la temperatura de 1 kg de material. Indica la mayor o menor dificultad que presenta una sustancia para experimentar cambios de temperatura bajo el suministro de calor. Los materiales que presenten un elevado calor específico serán buenos aislantes. Sus unidades del Sistema Internacional son J/(kg·K), aunque también se suele presentar como kcal/(kg·ºC); siendo 1 cal = 4,184 J. Por otra parte, el producto de la densidad de un material por su calor específico (ρ · C) caracteriza la inercia térmica de esa sustancia, siendo esta la capacidad de almacenamiento de energía. Conductividad térmica (k ): capacidad de un material para transferir calor. La conducción térmica es el fenómeno por el cual el calor se transporta de regiones de alta temperatura a regiones de baja temperatura dentro de un mismo material o entre diferentes cuerpos. Las unidades de conductividad térmica en el Sistema Internacional son W/(m·K), aunque también se expresa como kcal/(h·m·ºC), siendo la equivalencia: 1 W/(m·K) = 0,86 kcal/(h·m·ºC). Difusividad térmica (α): caracteriza la rapidez con la que varía la temperatura del material ante una solicitud térmica, por ejemplo,
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Diseño de equipos de Transferencia de calor
Tabla 5.27 Conductividades Conductividades térmicas de aislantes y algunos materiales de construcción Material Material
Densidad aparente, ρ lb/pie3 , (Temp.ambiente) (Temp.ambiente)
Aerogel, silica opacificada
°F
K Btu/hr.pie2.(°F/pie)
8.5
248
0.013
5
86
0.024
0.2
100
0.025
Asbesto – cemento, láminas
120
68
0.48
Asbesto hojas
55.5
124
0.096
Asbesto pizarra
112
32
0.087
Asbesto
112
140
0.114
29.8
328
0.043
29.8
32
0.090
36
32
0.087
36
212
0.111
36
392
0.120
36
752
0.129
43.5
328
0.090
43.5
32
0.135
Asfalto
132
68
0.43
Aserrin
12
70
0.03
Algodón en rama Aluminio, hojas, 7 cavidades por 2.5 pulg
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Diseño de equipos de Transferencia de calor
Coque de petróleo
…….
Coque pulverizado
…….
212
3.4
932
2.9
32 – 212
0.11
Concreto, Concreto, cinder
…….
…….
0.20
1:4 seco
……
…….
0.44
Piedra
…….
…….
0.54
Corcho, placa
10
86
0.025
Corcho, molido
9.4
86
0.025 0.025
8.1
86
0.025
62.4
…….
0.092
20
100
0.036
20
1600
0.082
17.2
399
0.040
17.2
1600
0..074
26
399
0.051
61.8
399
0.16
Dolomita
167
122
1.0
Ebonita
…..
…..
0.10
…….
0.5 – 0.75 0.064 0,022 0.028 0.27 0.097 0.03 0.021 2.0 86.7
begranulado Cuero, suela Diatomácea, Diatomácea, tierra, polvo, gruesa
Fina
Aislante de tubería partes calcin, 1 p. cemento y calc.
Esmalte, silicato Escoria, alto horno Escoria, lana Fibra aislante, placa Fibra, roja Con adhesivos, horneada Fieltro, lana Fieltro, pelo perpendicular a las fibras Gas, carbón Grafito, denso, comercial
“38” …….
12 14.8 80.5 …….
20.6 17 …….. ……..
75 – 261 86 70 68 68 – 207 88 86 32-212 32
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Diseño de equipos de Transferencia de calor
Tierra diatomácea y arcilla moldeada y calcinada
37
27 27 19 19 138 138 138 129 129 129 129 129 49.7 19 49.9
1832 392 1112 1832 2552 932 2102 392 1400 399 1202 2192 1112 1472 1832 2192 2552 117 70 68
0.34 0.38 0.85 0.95 1.02 0.15 0.26 0.050 0.113 2.2 1.6 1.1 10.7 9.2 8.0 7.0 6.3 0.35 0.04 0.32
7.8 51.5 44.7 34.0 40.0 28.1
86 59 122 59 59 140
0.025 – 0.03 0.12 0.11 0.087 0.010 0.062
34.4
70
…….
…….
10 34.7
104 32 70 - 151 201
0.20 1.2 – 1.7 0.038 0.27 0.14 0.86 0.075 0.028 0.04 0.14
…..
Tierra diatomácea, alto quemado, poroso Arcilla refractaria, Missouri
Ladrillo aislante, caolín Ladrillo refractario aislante, caolin Magnesita (86.8%, MgO, 6.3% Fe 2O3, 3% CaO, 2.6% SiO2 /peso)
Ladrillo de carburo de silicio, recristalizado
Magnesia pulverizada Magnesia, carbonato ligero Magnesio, oxido comprimido Madera, fibra cruzada Balsa Olmo Maple Pino, blanco Teca Abeto Madera, paralelo a la fibra Pino Marmol Negro de humo Nieve
……. ……. …….
14.8 43 …….
…….
70 86 32
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Diseño de equipos de Transferencia de calor
Tabla 5.28 Conductividad térmica, térmica, Calor específico, Gravedad Gravedad específica de metales y aleaciones Sustancia Acero Acero Acero Aluminio Aluminio Aluminio Antimonio Antimonio Bismuto Bismuto Cadmio Cadmio Cinc Cinc Cinc Cobre Cobre Cobre Hierro vaciado Hierro vaciado Hierro vaciado Hierro forjado Hierro forjado Latón (70 – 30) Latón Latón Magnesio Mercurio Niquel Niquel
Temperatura, F
k, Btu/(hr.pie2.°F)(°F/pie) Btu/(hr.pie2.°F)(°F/pie)
Calor especifico, Btu/ (lb.°F)
Gravedad especifica
32 212 1112 32 212 932 32 212 64 212 64 212 32 212 752 32 212 932 32 212 752 64 212 32 212 752 32 – 212 32 32 212
26 26 21 117 119 155 10.6 9.7 4.7 3.9 53.7 52.2 65 64 64 224 218 207 32 30 25 34.6 27.6 56 60 67 92 4.8 36 34
Ver hierro Ver hierro Ver hierro 0.183 0.1824 0.1872 0.0493 0.0508 0.0294 0.0304 0.0550 0.0567 0.0917 0.0958 0.1082 0.1487 0.1712 0.2634 0.1064 0.1178 0.1519 Ver hierro Ver hierro 0.1315 0.1488 0.2015 0.255 0.0329 0.1050 0.1170
7.83 7.83 7.83 2.55 – 7.8
9.8 8.65 6.9 – 7.2
8.8 – 8.95
7.03 – 7.13
7.6 – 7.9 8.4 – 8.7
1.74 13.6 8.9
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Diseño de equipos de Transferencia de calor
Tabla 5.29 Presión de vapor
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Diseño de equipos de Transferencia de calor
Continuación… Tabla 5.29
Presión de vapor.
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Diseño de equipos de Transferencia de calor
Tabla 5.30 5.30 Entalpía de de vaporización vaporización
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Diseño de equipos de Transferencia de calor
Continuación… Tabla 5.30
Entalpía de vaporización vaporización
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Diseño de equipos de Transferencia de calor
Tabla 5.31 5.31 Entalpía de formació formació n
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Diseño de equipos de Transferencia de calor
Continuación… Tabla
5.31 Entalpía de Formación
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Diseño de equipos de Transferencia de calor
Tabla 5.32 Energía de Formación de Gibbs
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Diseño de equipos de Transferencia de calor
Continuación… Tabla 5.32 Energía de Formación de Gibbs
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Diseño de equipos de Transferencia de calor
Tabla 5.34. Gravedades específicas específicas y Peso molecular de líquidos Compuesto
Mol
s
Compuesto
Mol
s
Acetaldheido
44.1
0.78
Cloruro de etilo
64.5
0.92
Acetato de amilo
130.2
0.88
Cloruro de metilo
50.5
0.92
Acetato de etilo
88.1
0.90
Cloruro de n-propilo
78.5
0.89
Acetato de metilo
74.9
0.93
Cloruro de sulfuriclo
135
1.67
Acetona
58.1
0.79
Dibromoetano
187.9
2.09
Acetato de butilo
116.2
0.88
Dicloroetano
99.0
1.17
Acetato de vinilo
86.1
0.93 0.9 3
Diclorometano
88.9
1.34
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Diseño de equipos de Transferencia de calor
Figura 5.73 Gravedades específicas de hidrocarburos. hidrocarburos.
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Universidad Nacional Pedro Ruiz Gallo Facultad de Ingeniería Química e Ind. Alimentarias Diseño de Planas Planas Industriales – Transferencia Transferencia de calor
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Universidad Nacional Pedro Ruiz Gallo Facultad de Ingeniería Química e Ind. Alimentarias Diseño de Planas Planas Industriales – Transferencia Transferencia de calor