Diseño de Presa Umayo

MICRO CUENCA: UBICACIÓN: DEPARTAMENTO:

Rio Queirane VERTIENTE DE LA CUENCA DEL LAGO TITICACA

PUNO

DATOS:  Area (km2): # Lon$i%u& &e' Caue Prinia' ( Lon$i%u& To%a' &e 'o, r-o, (km)

14!"#2 11#*+ !.#!

CUADRO Nº 1 RAMIFICACION DEL SISTEMA DE DRENAJE ORDEN DEL RIO 1er 2&o !er 4%o *%o %o TOTAL

RIO/ 0O QUERADA/ N3 &e R-o, Lon$i%u& To%a' km 1* *.#4 * +# * 1+ 2 1"#+ " " " " 2+ 4

CUADRO Nº 2 DISTRIBUCION ALTIMETRICA ALTIMETRICA DE LA SUPERFICIE

!.1" !.*" 4""" 42"" 44"" 4"" 4."" *""" *2"" *4""

 ALTITUD  ALTITUD (m,nm) Ran$o Prome&io !.*" !.!" 4""" !2* 42"" 41"" 44"" 4!"" 4"" 4*"" 4."" 4+"" *""" 4"" *2"" *1"" *4"" *!"" *"" **"" TOTAL

Hm (msnm):

AREA km2 14#* 24 ! 2#. 11. " " " " " 2**#!

5 *#. #4" 14#1" 24#" 4#22 "#"" "#"" "#"" "#"" "#"" 1""#""

4!"2#2

CUADRO Nº 3 CALCULO DE LA CURVA HIPSOMETRICA UEIRANE  ALTITUD  ALTITUD m,nm# !.1" !.*" 4"""

AREA PARCIAL km2 "#"" 14#*" 24#""

AREA A6O LA ALTITUD 2 5 km "#"" "#"" 14#*" *#* !.#*" 14#.*

AREA /ORE LA ALTITUD 2 5 km 2*#!" 1""#"" 244#." 4#41 22"#." .*#1*

42"" 44"" 4"" 4."" *2"" *4"" *"" TOTAL

!#"" 2#." 11.#"" "#"" "#"" "#"" 4#""

+4#*" 1!+#!" 2**#!" 2**#!" 2**#!" 2**#!" 2*#!"

2.#+! *2#* .#4 .#4 .#4 .#4 1""#""

2*#!"

CUADRO Nº ! PERFIL LON"ITUDINAL DE LA MICROCUENCA  ALTITUD  ALTITUD m,nm# 1*" 1+"" 1"" 21"" 2!"" 2*"" 2+"" 2"" !1"" !!"" !*"" !+"" TOTAL

1"" 1."" 2""" 22"" 24"" 2"" 2."" !""" !2"" !4"" !"" !++*

LONGITUD (km) PARCIAL ACU7ULADA "#. "#. *#2. #14 !#* #+ 4#1 1!#. !#. 1+# !#* 21#1 !#1 24#2 2#12 2#!. 2#+ 2#1+ 1#.! !1 1#! !2#! 2#2* !4#4 !4#4

1.4#." 122#"" 4#"" 4#"" 4#"" 4#"" "#""

+1#2+ 4+#"* 1#*4 1#*4 1#*4 1#*4 "#""

42"" 44"" 4"" 4."" *2"" *4"" *"" TOTAL

!#"" 2#." 11.#"" "#"" "#"" "#"" 4#""

+4#*" 1!+#!" 2**#!" 2**#!" 2**#!" 2**#!" 2*#!"

2.#+! *2#* .#4 .#4 .#4 .#4 1""#""

2*#!"

CUADRO Nº ! PERFIL LON"ITUDINAL DE LA MICROCUENCA  ALTITUD  ALTITUD m,nm# 1*" 1+"" 1"" 21"" 2!"" 2*"" 2+"" 2"" !1"" !!"" !*"" !+"" TOTAL

1"" 1."" 2""" 22"" 24"" 2"" 2."" !""" !2"" !4"" !"" !++*

LONGITUD (km) PARCIAL ACU7ULADA "#. "#. *#2. #14 !#* #+ 4#1 1!#. !#. 1+# !#* 21#1 !#1 24#2 2#12 2#!. 2#+ 2#1+ 1#.! !1 1#! !2#! 2#2* !4#4 !4#4

1.4#." 122#"" 4#"" 4#"" 4#"" 4#"" "#""

+1#2+ 4+#"* 1#*4 1#*4 1#*4 1#*4 "#""

CUADRO Nº ! PARAMETROS "EOMORFOLO"ICOS

MICRO CUENCA:

Rio Queirane

PARAMETROS

SIMBOLO

UNIDAD

VALOR

1# AREA

 A

km2

14!"#2

2# PERIMETRO

P

km

.24#*

3# LON"ITUD DEL CAUCE PRINCIPAL PRINCIPAL

L

km

11#*+

8 Am ;

A&imen,iona' km A&imen,iona'

D& E,  Gr#

kmkm2 km r-o,km2 or&en

!# PARAMETROS DE FORMA 4#1 In&ie &e Comai&a& 4#2 An9o 7e&io &e 'a Cuena 4#! a%or &e orma

1#" 12"#42 111#*!

$# PARAMETROS RELATIVOS AL SISTEMA DE DRENAJE *#1 Den,i&a& &e Drenan 7e&ia &e E,urrimien%o /uer;iia' *#! reuenia &e R-o, *#4 Gra&o &e Rami;iai>n

"#"" +#4 "#"" %o

%# PARAMETROS RELATIVOS A LAS VARIACIONES ALTITUDINALES #1 A'%i%u& 7e&ia #2 Po'-$ono &e reuenia &e A'%i%u&e, @ #! Cura ?i,omB%ria @@

?m

m,nm

4!"2#2

&# PARAMETROS RELACIONADOS CON LA DECLIVIDAD DE LOS ALVEOS +#1 Pen&ien%e 7e&ia &e' R-o Prinia'

'# OTROS PARAMETROS

/

5

#!1

F*+, Nº -2: CURVA HIPSOMETRICA MICROCUENCA UEIRANE 1""#"" "#"" ."#"" +"#"" "#""    )    .    (    A    E    R    A

*"#"" 4"#"" !"#"" 2"#"" 1"#"" "#"" !.1"

!.*"

4"""

42""

44""

4""

ALTITUD (ms nm #)D Co'umn

4.""

*2""

*4""

*""

Co'umn 

DATOS DE PRESIPITACIÓN 1964 - 1996  PRECIPITACION MEDIA MENSUAL - HISTORICA (mm)

ESTACION CUENCA CODIGO  TIPO A#O 1)*+ 1)*5 1)** 1)*7 1)*8 1)*) 1)70 1)71 1)7 1)73 1)7+ 1)75 1)7* 1)77 1)78 1)7) 1)80 1)81 1)8 1)83 1)8+ 1)85 1)8* 1)87 1)88 1)8) 1))0 1))1 1)) 1))3 1))+ 1))5 1))* N° A#OS PRO&. STAND.

ENE

: : : :

PUNO TITICACA 708 CP

LAT-S LON-W ALTITUD

10.5 3.5 75.+ 10.7 1*+.5 1+.+ 101.0 10.8 38. 53.0 157. 00. +).1 +.5 131. *0.8 133.) 3.1 0.7 318.) 130.0 1+5.1 +.3 13.+ 03.8 1*7. 1+.1 **.0 175.* 180.0 1.7

$E% )5.0 17+.8 7).) 108.3 117.+ )8.* 55.5 *8. 130.) 131.7 0*.8 177.* 1+).5 0*.1 )5.3 35. 57.3 07.3 83.5 70.+ 8*. 337.* 51.1 71.5 7.5 130.0 .+ *7.7 8).7 100.7 183.1 11).7

&AR 11.) *.0 1+5.0 3. 111.+ *8.+ 18).5 8.+ 1*+.0 15).1 5+.) 158.* 1*). 0).8 13*.3 1+3.1 58.+ 111.3 )).7 57.* 3.0 13.3 1. 73.8 8.) 137.1 5).) 185.8 15.7 107.0 113.3 1+.0

A%R 5+.1 30.1 13.0 1.8 *.7 33.7 3.0 5. 37. )7.* 57.* 37.5 5.* 5.8 8.3 ++.1 18.5 *8.) 75.0 55.5 ++.+ )0.7 105.8 ++. 7.) 100.) +3.0 +*. 38.8 5.5 11*. .1

&A 11.8 0.8 +0.3 1.) 10.+ 0.0 7.5 0.0 *.* 13.3 0. +3.7 ).) 8.8 0.+ 1.+ 1.3 +.7 .* 1+. 18.3 +.) 0.1 1.7 3.3 0.0 1.1 *.8 0.0 *.* ).) +.1

31.0 15.) 70.

3.0 17.5 7.0

3.0 133.* *3.0

3.0 +). ).5

3.0 10.0 11.5

: 15° 50' : 70° 01' : 385 !"n!. (UN

DPTO. PROV. DIST. (UL

0.0 0.0 0.0 0.0 1.3 0. 0.0 .) 0.0 0.0 .5 0.7 0.+ 0.0 0.0 0.0 0.1 0.0 5. .3 +. 7.3 0.0 3.8 0.0 0.+ 5+.7 33.* 0.5 1.1 0.+ 0.0

0.0 0.* 0.5 1*.) 3.7 3. 0.0 0.0 0.0 1.8 0. 0.1 1.+ .3 3. 0.) +.) 0.0 1.) 1.5 3.7 0.0 5. 1.5 0.3 1.7 0.0 0.0 .3 0.0 0.0 0.0

AGO *.* 7.1 0.0 7.8 .8 0.) 0.) ).1 0.0 *.1 51. *.5 1*.) 0.0 0.+ 1.8 13.5 37.8 0.0 +.8 5.7 8. 8.+ 0.0 0.0 1+.7 11.8 3.0 +. 37.) 0.0 -1.0

SET . 3. 1.0 *3.5 15.5 +.5 10.+ 1. 37.3 3.5 3*.5 +8.7 ++.+ +8.1 17.5 8.5 **.1 1.1 5.) +*.+ 0.0 +0.1 +.0 +.3 0.5 17.* 10.1 1+.7 0.0 18.0 18.3 -1.0

OCT 7.8 1+.0 +.) +3.7 5).+ 5.7 18.0 1).5 3.* 1*.+ 1.5 53.3 ).1 53.) +.) +5.5 7.8 5.* 11+.+ *.7 157.5 3.7 +. 58.+ 70.5 1+. 107.) 0.+ 3+.+ *).1 3*.* -1.0

NOV 50. +7.7 *1.0 +.0 5).1 5.* 1+.* )3.5 +*.1 ).8 7.3 +.7 11.* +).7 1+3.7 31.7 5.8 +).0 103.0 ).8 73.8 13.5 ). 110.0 +*. 1.+ )1.7 ++. ).+ 7). 5.* -1.0

DIC +7.8 17+. 7.8 11.5 50.0 51.5 )7. 103.* 13.* 70.8 +8.1 35. 11).8 108.8 155.0 83.) 3+.) 1).0 +.5 10+. )*. 13+. 131.* 5.+ )).1 +.) *3.0 50.3 55.1 111.5 73. -1.0

3.0 +.8 11.)

3.0 . 3.7

3.0 10.8 1+.

3.0 +.8 1).*

3.0 +1.+ 3+.)

3.0 51.1 35.5

3.0 87.* 50.5

FUENTE : SENAMHI

PRECIPITACION MEDIA MENSUAL - HISTORICA (mm)

S

CO

O

S

°

: Puno : Puno : Puno

O

TOTAL **+.0 ++3.) 710.0 *5.+ 503.8 5*8.0 *5.* 7)8.1 7)7.3 750.8 )+3.8 758.0 7+.+ 8).5 57.3 *1+.+ 788.* 7)+.8 +3+.1 1051.) 107.5 )3.) *).) 8+7.* *8+.7 *+3.8 5)*.8 37+.1 75). 803.* 711.

DATOS DE PRESIPITACIÓN 1964 - 1996  PRECIPITACION MEDIA MENSUAL - HISTORICA (mm)

ESTACION CUENCA CODIGO  TIPO A#O 1)*+ 1)*5 1)** 1)*7 1)*8 1)*) 1)70 1)71 1)7 1)73 1)7+ 1)75 1)7* 1)77 1)78 1)7) 1)80 1)81 1)8 1)83 1)8+ 1)85 1)8* 1)87 1)88 1)8) 1))0 1))1 1)) 1))3 1))+ 1))5 1))* N° A#OS PRO&. STAND.

ENE

: : : :

PUNO TITICACA 708 CP

LAT-S LON-W ALTITUD

10.5 3.5 75.+ 10.7 1*+.5 1+.+ 101.0 10.8 38. 53.0 157. 00. +).1 +.5 131. *0.8 133.) 3.1 0.7 318.) 130.0 1+5.1 +.3 13.+ 03.8 1*7. 1+.1 **.0 175.* 180.0 1.7

$E% )5.0 17+.8 7).) 108.3 117.+ )8.* 55.5 *8. 130.) 131.7 0*.8 177.* 1+).5 0*.1 )5.3 35. 57.3 07.3 83.5 70.+ 8*. 337.* 51.1 71.5 7.5 130.0 .+ *7.7 8).7 100.7 183.1 11).7

&AR 11.) *.0 1+5.0 3. 111.+ *8.+ 18).5 8.+ 1*+.0 15).1 5+.) 158.* 1*). 0).8 13*.3 1+3.1 58.+ 111.3 )).7 57.* 3.0 13.3 1. 73.8 8.) 137.1 5).) 185.8 15.7 107.0 113.3 1+.0

A%R 5+.1 30.1 13.0 1.8 *.7 33.7 3.0 5. 37. )7.* 57.* 37.5 5.* 5.8 8.3 ++.1 18.5 *8.) 75.0 55.5 ++.+ )0.7 105.8 ++. 7.) 100.) +3.0 +*. 38.8 5.5 11*. .1

&A 11.8 0.8 +0.3 1.) 10.+ 0.0 7.5 0.0 *.* 13.3 0. +3.7 ).) 8.8 0.+ 1.+ 1.3 +.7 .* 1+. 18.3 +.) 0.1 1.7 3.3 0.0 1.1 *.8 0.0 *.* ).) +.1

31.0 15.) 70.

3.0 17.5 7.0

3.0 133.* *3.0

3.0 +). ).5

3.0 10.0 11.5

: 15° 50' : 70° 01' : 385 !"n!. (UN

DPTO. PROV. DIST. (UL

: Puno : Puno : Puno

0.0 0.0 0.0 0.0 1.3 0. 0.0 .) 0.0 0.0 .5 0.7 0.+ 0.0 0.0 0.0 0.1 0.0 5. .3 +. 7.3 0.0 3.8 0.0 0.+ 5+.7 33.* 0.5 1.1 0.+ 0.0

0.0 0.* 0.5 1*.) 3.7 3. 0.0 0.0 0.0 1.8 0. 0.1 1.+ .3 3. 0.) +.) 0.0 1.) 1.5 3.7 0.0 5. 1.5 0.3 1.7 0.0 0.0 .3 0.0 0.0 0.0

AGO *.* 7.1 0.0 7.8 .8 0.) 0.) ).1 0.0 *.1 51. *.5 1*.) 0.0 0.+ 1.8 13.5 37.8 0.0 +.8 5.7 8. 8.+ 0.0 0.0 1+.7 11.8 3.0 +. 37.) 0.0 -1.0

SET . 3. 1.0 *3.5 15.5 +.5 10.+ 1. 37.3 3.5 3*.5 +8.7 ++.+ +8.1 17.5 8.5 **.1 1.1 5.) +*.+ 0.0 +0.1 +.0 +.3 0.5 17.* 10.1 1+.7 0.0 18.0 18.3 -1.0

OCT 7.8 1+.0 +.) +3.7 5).+ 5.7 18.0 1).5 3.* 1*.+ 1.5 53.3 ).1 53.) +.) +5.5 7.8 5.* 11+.+ *.7 157.5 3.7 +. 58.+ 70.5 1+. 107.) 0.+ 3+.+ *).1 3*.* -1.0

NOV 50. +7.7 *1.0 +.0 5).1 5.* 1+.* )3.5 +*.1 ).8 7.3 +.7 11.* +).7 1+3.7 31.7 5.8 +).0 103.0 ).8 73.8 13.5 ). 110.0 +*. 1.+ )1.7 ++. ).+ 7). 5.* -1.0

DIC +7.8 17+. 7.8 11.5 50.0 51.5 )7. 103.* 13.* 70.8 +8.1 35. 11).8 108.8 155.0 83.) 3+.) 1).0 +.5 10+. )*. 13+. 131.* 5.+ )).1 +.) *3.0 50.3 55.1 111.5 73. -1.0

TOTAL

3.0 +.8 11.)

3.0 . 3.7

3.0 10.8 1+.

3.0 +.8 1).*

3.0 +1.+ 3+.)

3.0 51.1 35.5

3.0 87.* 50.5

10.5 1).7 10.7 55.8 10.* 10.* 1.* 3.) +. 1.+ 5*.1 5.7 3*. 8.0 1.1 7.8 3). 7*.0 ).+ 111.5 10.8 1+.3 3. 5+.5 1+.) *8. ).+ 117.+ 1++.

NOV 15.+ 0.+ 8.0 3.1 7+.7 +).7 .+ 7*.5 7. .8 3.0 7.3 .8 7).7 11+.3 1.7 ).0 *.7 131.) *.7 100.3 118.1 11.7 )*.1 ).) +1.7 137.7 3+.0 3). 115.5

DIC **.3 18.5 38.+ 110.5 +8.5 75.3 105.0 *.) )8.3 7*.3 35.+ 17.+ 87.8 1.1 1*3.1 101.) +8.+ 37.) .5 )7.5 158.) 1+).+ )*.+ *1.+ 15.8 31.* 7*.+ 73.7 117.5

*0.) 53.8

).0 38.3 3*.7

30.0 53.3 +.3

).0 )0.) +5.5

**0.3

**+.0 ++3.) 710.0 *5.+ 503.8 5*8.0 *5.* 7)8.1 7)7.3 750.8 )+3.8 758.0 7+.+ 8).5 57.3 *1+.+ 788.* 7)+.8 +3+.1 1051.) 107.5 )3.) *).) 8+7.* *8+.7 *+3.8 5)*.8 37+.1 75). 803.* 711.

FUENTE : SENAMHI

PRECIPITACION MEDIA MENSUAL - HISTORICA (mm)

ESTACION : U&AO CUENCA : TITICACA CODIGO : 7+1  TIPO : PLU A#O 1)*+ 1)*5 1)** 1)*7 1)*8 1)*) 1)70 1)71 1)7 1)73 1)7+ 1)75 1)7* 1)77 1)78 1)7) 1)80 1)81 1)8 1)83 1)8+ 1)85 1)8* 1)87 1)88 1)8) 1))0 1))1 1)) 1))3 1))+ 1))5 1))* N° A#OS PRO&. STAND.

LAT-S LON-W ALTITUD

ENE 0. 105.) 1*.3 85.8 *. 1*8.5 1+7.8 83.+ 1+7. 13.8 53.0 173.0 17.) 81.7 01.8 188.8 +.0 +1. 18).5 ++.* 37.* 17.7 00.1 15+.* 30+.5 5.0 177.0 150.* 70.) 15.*

$E% 78.8 133.5 ++.8 +*.8 1*+.1 8.8 1+*. 1*5.7 1**.) 1+1.3 07.) 1)1.1 1+).3 1)7.+ 100.* +5.+ *0.8 18).1 73.) +0.8 73.7 )3. 5.) +.3 )5.3 1*+.1 *.1 13. 10).0 *1.+

&AR 7+.) 108.5 8.* 1+3.7 53.1 37.7 153.1 15.0 11*.8 5).0 1+*. 77.5 1.7 10.3 150.1 13+.3 3.3 157.* *8. ).) +7.8 10+.3 1*).0 5.7 10.8 153.0 *).5 8).0 33.* 10).7

A%R 37.7 53.8 ).* 3.) 1).7 55.5 *.0 30.1 8. 3+.1 50.1 33.8 38.8 *.* +0.7 5.) +.) ).7 1+.8 . ). )+.) 15*.1 3. 13).3 )*.) 37.7 +).0 *.3 7.+

&A 1.0 0.0 35.1 0.0 1*.1 0.0 0.0 0.0 0.0 +.7 0.0 5*.5 ).3 0.) 0.0 11.+ 0.0 0.0 0.0 0.0 0.0 10.+ 0.0 0.0 1).8 0.0 1*.0 .) 0.0 7.8

30.0 153.1 83.1

30.0 1). *).)

30.0 10). *1.

30.0 +8.+ +0.5

30.0 7.+ 1.*

FUENTE : SENAMHI

: 15° ++' : 70° 0)' : 3850 !"n!. (UN

DPTO. PROV. DIST. (UL

: Puno : Puno : A,uno/

0.0 0.0 0.0 0.0 18.3 0.0 0.0 1.) 0.0 0.0 0.* 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8 +.7 1+.7 0.0 0.0 0.0 0.0 +3.3 3).+ 0.0 0.0

0.0 0.0 0.0 8.0 5.7 .+ 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8 1.) 0.0 . 0.0 0.0 0.0 0.0 0.0 0.0 5. 0.0 0.0 0.0 0.0 1+.7 0.0

AGO 0.0 0.0 0.0 ).* 0.5 0.0 0.0 0.0 0.0 10.+ ). 0.0 3.+ 0.0 0.0 3.) +.+ 13.0 0.0 +. .* 0.0 13.8 0.0 0.0 0.0 .+ 0.0 +1. 37.

SET 1.1 1).7 1.3 1+.7 0.) 5.7 0.0 1.7 3.3 57.+ *. +0.0 7.5 3*. 13.5 0.0 5+.1 0.0 ).+ 33.0 0.0 33. 11.3 0.0 7. 0.0 7.0 7.0 *.8

30.0 +.3 11.0

30.0 .1 5.+

30.0 *.5 11.0

).0 17.7 1).*

OCT

TOTAL 580.8 3).8 +5*.8 53).* +88. 571.1 +58.8 5)1.8 55+.0 7+.0 87.7 **5. *8+.) 7)+.0 57.+ 550.) 833.+ 71*. )+.1 13+1.3 1001.7 8)8.* ++0.7 )*7.1 77.

FUENTE : SENAMHI

Pl uvi ogramadePr eci pi t aci ón mensual Es t ac i ónMAZOCRUZ

350

300

250  l  a  u  s  n  e 200  M  l  a  t  o  T  n  ó  i  c 150  a  t  i  p  i  c  e  r  P 100

50

0 0

24

48

72

96 120 144 168 192 216 240 264 288 312 336 360 384 408 432 456 480 504 528 552 576 M e se s

Pl uvi ogramadePr eci pi t aci ónMensual   Es t aci ónI LAVE 400

350

300

 l  a  u  s  n  e  m  l  a  t  o  T  n  ó  i  c  a  t  i  p  i  c  e  r  P

250

200

150

100

50

0 0

24

48

72

96 120 144 168 192 216 240 264 288 312 336 360 384 408 432 456 480 504 528 552 576

M e se s

Pl uvi ogramadePr eci pi t aci ónMensual   Es t aci ónI LAVE 400

350

300

 l  a  u  s  n  e  m  l  a  t  o  T  n  ó  i  c  a  t  i  p  i  c  e  r  P

250

200

150

100

50

0 0

24

48

72

96 120 144 168 192 216 240 264 288 312 336 360 384 408 432 456 480 504 528 552 576

M e se s

DATOS DE PP. EXTENDIDA 1964 - 2010 MEDIANTE EL HEC - 04 PRECIPITACION MEDIA MENSUAL - HISTORICA (mm) ESTACIO : PUNO

LAT-S : 15° 50' LON-W : 70° 01' ALTITU : 385 !"n!.

CUENCA : TITICACA CODIGO : 708 : CP TIPO

E"#$%&n

Puno

A(OS ENE )E* 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708

DPTO. : Puno PROV. : Puno DIST. : Puno

1/ 1/5 1/ 1/7 1/8 1// 1/70 1/71 1/7 1/73 1/7 1/75 1/7 1/77 1/78 1/7/ 1/80

8 101 3 7 11 15 1 101 11 38 53 157 00 / 5 131 1

/5 175 80 10 117 // 5 8 131 13 07 178 1/ 0 /5 35 57

+AR A*R +A, UN UL AGO SET 113 1 1/ 1 111 8 1/0 8 1 15/ 55 15/ 1/ 10 13 13 58

5 31 7 13 3 3 3 5 37 /8 58 38   8  1/

1 1 0 13 10 0 8 0 7 13 0  10 / 0 1 1

0 0 0 0 1 0 0 3 0 0 3 1 0 0 0 0 0

0 1 1 17  3 0 0 0  0 0 1  3 1 5

7 7 0 8 3 1 1 / 0  51 15 17 0 0  1

 3 1 3 15  10 1 37 33 37 /  8 18 8 

OCT 8 1 3  5/  18 0 33 1 13 53 / 5 5 5 73

NOV 50 50 7  5/ 53 15 /3  / 7 5 1 50 1 3 

DIC 8 11 8 11 / 5 /7 10 133 71 8 35 10 10/ 155 8 35

To#$ 77 58/ 3/ /5 3 505 5/ 5 7// 7/7 75 /5 757 73 87 5 15

DATOS DE PP. EXTENDIDA 1964 - 2010 MEDIANTE EL HEC - 04 PRECIPITACION MEDIA MENSUAL - HISTORICA (mm) ESTACIO : PUNO

LAT-S : 15° 50' LON-W : 70° 01' ALTITU : 385 !"n!.

CUENCA : TITICACA CODIGO : 708 : CP TIPO

E"#$%&n

Puno

A(OS ENE )E* 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708 708

DPTO. : Puno PROV. : Puno DIST. : Puno

1/ 1/5 1/ 1/7 1/8 1// 1/70 1/71 1/7 1/73 1/7 1/75 1/7 1/77 1/78 1/7/ 1/80 1/81 1/8 1/83 1/8 1/85 1/8 1/87 1/88 1/8/ 1//0 1//1 1// 1//3 1// 1//5 1// 1//7 1//8 1/// 000 001 00 003 00 005 00 007 008 00/ 010

8 101 3 7 11 15 1 101 11 38 53 157 00 / 5 131 1 15 3 1 31/ 130 15  13 0 17 1  17 180 13 53 0 1/ 1/ 51 31 3 130 08 37  107 175 1/ 11

/5 175 80 10 117 // 5 8 131 13 07 178 1/ 0 /5 35 57 07 83 70 330 338 51 71 73 130  8 /0 101 183 10 131 13 11 10/ 1/8 1 5 177 11 107 11 1/  1/ 18

+AR A*R +A, UN UL AGO SET 113 1 1/ 1 111 8 1/0 8 1 15/ 55 15/ 1/ 10 13 13 58 111 100 58 3 13 1 7 / 137 0 18 1 107 113 1 1 // 135 13 00 17 1/ / 03 1 1/7 /1 3 3 10

5 31 7 13 3 3 3 5 37 /8 58 38   8  1/ 7 75 5  /1 10  73 101 3  3/ 53 11  7 8/ 5 / 8 8 / 3 3 5 8  30 3 0

1 1 0 13 10 0 8 0 7 13 0  10 / 0 1 1 5 3 1 18 5 0  3 0 1 7 0 7 30  0 1 0   5 7   0 5  0  11

0 0 0 0 1 0 0 3 0 0 3 1 0 0 0 0 0 0 5   7 0  0 0 55 3 0 1 0 0 0 0 5 0 1  3 0 0 0 1 11 1 0 0

0 1 1 17  3 0 0 0  0 0 1  3 1 5 0  1  0 5 1 0  0 0  0 0 0 3 0 0 7 1  1 1 0 3 7 0 0 5 0

7 7 0 8 3 1 1 / 0  51 15 17 0 0  1 38 0 5 5 8 1 0 0 15 1 3  38 0 3 13   0  0  /  10/ 0 3 1 8 0

 3 1 3 15  10 1 37 33 37 /  8 18 8  1 53  0 0   1 18 10 15 0 18 18  1 108   / 3 7 0 3 5 8  0 31 0

OCT

NOV

8 1 3  5/  18 0 33 1 13 53 / 5 5 5 73  11 7 158 33  58 70 1 108 0 3 / 37 15 10 30 7 8 1 7 10 15 /  18  3/ 35 1

50 50 7  5/ 53 15 /3  / 7 5 1 50 1 3  / 103 30 / 13 / 111 5 1 /5  / 7/ 53 50 88 3   5 1 8 117 / 3 /8  0    

DIC 8 11 8 11 / 5 /7 10 133 71 8 35 10 10/ 155 8 35 1/  10 / 13 131 5 // 3 3 50 55 11 73 80 118 5 58  71 38 /5  78 15 1 8 1 101 8 P2o!4&o

To#$ 77 58/ 3/ /5 3 505 5/ 5 7// 7/7 75 /5 757 73 87 5 15 803 7/ 3 1/0 107 / / 8 85 7 5/7 373 71 803 53 75 /10 1 58 1010 /5 1 73 8// /5/ /5 583 78 870 5/0 718.03

PRECIPITACION MEDIA MENSUAL - HISTORICA (mm)

ESTACIO CUENCA CODIGO TIPO

E"#$%&n

: : : :

U+A,O TITICACA 71 PLU

LAT-S : 15° ' LON-W : 70° 0/' ALTITU : 3850 !"n!.

U!$o

A(OS ENE )E* 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

DPTO. : Puno PROV. : Puno DIST. : A#un%o$

1/ 1/5 1/ 1/7 1/8 1// 1/70 1/71 1/7 1/73 1/7 1/75 1/7 1/77 1/78 1/7/ 1/80 1/81 1/8 1/83 1/8 1/85 1/8 1/87 1/88 1/8/ 1//0 1//1 1// 1//3 1// 1//5 1// 1//7 1//8 1/// 000 001 00 003 00 005 00 007 008 00/ 010

0 10 1 8  10 18 83 1 1 53 173 173 8 0 18/  1 1/0 5 373 173 01 155 30 5 177 151 71 1 / 7 308 7 178 177  335 3 137 11 30/ 38 1 1 18 15

7/ 133 5 7 1 83 1 1 17 11 08 1/1 1/ 17 101 5 1 18/ 7 1 78 /3   /5 1  13 10/ 1 87 1 173 18 117 175 30 /8 108 15 1 13 17 133 31 17 13

+AR A*R +A, UN UL AGO SET 75 108 83 1 53 38 153 15 117 5/ 1 77 13 10 151 133 3 158 / 10 8 10 1/  11 153 / 8/ 3 110 3/ 1 70 70 1 11 1 7 88 8 171 17 18 58 0 178 7/

38 5 10  0 5  30 8 3 50 3 3/ 7 1 53 5 /3 15  / /5 15 3 13/ 87 38 /  7 55 5 35 150 33 18 /5  5 1 / 118 7 8 1 0 7

1 0 35 0 1 0 0 0 0 5 0 5 / 1 0 11 0 0 0 0 0 10 0 0 0 0 1 3 0 8  0 0 0 0 11 1 0 0   0 0 0 0 3 0

0 0 0 0 18 0 0  0 0 1 0 0 0 0 0 0 0 0  5 15 0 0 0 0 3 3/ 0 0  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0

0 0 0 8   0 0 0 0 0 0 0   0 7 0 0 0 0 0 0 5 0 0 0 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  0

0 0 0 10 1 0 0 0 0 10 1 0 3 0 0   13 0  3 0 1 0 0 0  0 1 37 0 0  1 0 0  1 0 1 1 0 0 5 0  1

1 0 1 1 1  0  3 57  0 7 3 13 0 5 0 / 33 0 33 11 0 7 0 7 7 7 17 0 8  53 0  7 18 5 0  3  8 8 11 0

OCT

NOV

0 11 0 11 55 11 11    1 5  3 8 1 73 3/ 7 / 111 11 1 3 55 15 8 / 117 1 31 15 1 18 5  3 8  7 10 7 1  3 3 1/

15 0 8 3 75 50  7 7 3 3 7 3 80 11 13 / 3 13 7 100 118 1 / 10  138 3 3/ 11 5/ 37 157 8 1 3  15 / 17 87 1 /8 3   5  

DIC  18 38 111 8 75 105 3 /8 7 35 17 88 1 13 10 8 38  /8 15/ 1/ / 1 1 3 37 7/ 7 118   13/ 8 5 55 7  175 1 7 /  10/ /8 8 0 P2o!4&o

TOTAL 317 580 330 78 53/ 81 571 5/ 588 553 7 871 5 15 7/5 571 555 83 717 /5 13 1001 8// 0 /7 718 77 3 533 8// 31 /3 /0 853 57 7/ 888 71 577 7 5 /11 77 87 03 711 70 7.8

ESTACION BASE PUNO Cálculo de Probabldad al !"# E"#$%&n Puno ENE )E* +AR A*R +A, UN UL AGO SET OCT NOV n 1 31/ 338 58 11  55 17 10/ 108 15 1  31 330 3 10 0 3 1 51 / 158 13 3  8 / 101 30 7 7   11 117  53 51 3 /8 5 1 7  3 108 111 5 53 5 1 / 3 1 5 38 0 73 103  51 13 1 /1 18 11 5 38 53 70 /8 7 0 11 1 8/ 1 5 5 8 / / / 8 38 11 10 8 13 5   8 5/ /5 / 37 07 03 8 13   5  58 /3 10 3 07 00 7 1     5 88 11 5 0 1/7 7 1  3 0  53 7/ 1  1/8 1/0 75 11 3 3 17 0 / 7 13 13 183 18 73 10 3 3 15 37  / 1 11 178 17 7 10 3 3 15 37 5 8 15 08 177 1/ 3 /   1 33  3 1 0 175 1 3 8 1  13 3 3 5/ 17 00 1/ 15/ 0 7 1  1 31 3/ 53 18 1/ 1/ 15/ 58 7 1  1  37 53 1/ 180 1/ 13 5 7 1  /  35 5 0 17 18 137 5 7 0 1 /  3 50 1 175 13 13 53  0 1 8  33 50  1/ 131 135 / 5 0 1 8 1 33 50 3 17 131 1/ 8 5 0 1 7 1 30 50  15 130 1  5 0 1 7 18 8 / 5 157 10 13   0 1  18 7   1/ 117 13 5  0 1 5 18 7 5 7 15 11 113   0 1  18 7  8 15 10/ 113   0 0  15   / 1 107 111   0 0 3 15  3 30 11 10 111 3 3 0 0 3 10 5  31 131 101 107 3/  0 0 3 10  0 3 130 // 10 38  0 0 3 8 0 3 33 130 /5 100 37 1 0 0  8 0 30 3 1 /5 // 3 1 0 0 1 7 18 / 35 13 /0 /1 3 1 0 0 1 5 18 / 3 11 83 7 3 1 0 0 1  1 7 37 107 80 8 31 0 0 0 0  15  38 101 73 1 30 0 0 0 0  1  3/ 101 71 1 8 0 0 0 0 3 1 5 0 7 70 0  0 0 0 0 3 1 1 1 8 8 58 5 0 0 0 0 1 1 1   1 55 5 0 0 0 0 1 13 15 3 1 57 3 3 0 0 0 0 1 10 1  / 5 / 1/ 0 0 0 0 0 10 / 5 3 35 8 13 0 0 0 0 0 /   3  1/  0 0 0 0 0 8  7 1  1  0 0 0 0 0  

DIC 35 155 15 13 133 131 1/ 11 10 118 11 11 10/ 10 10 101 // /7 / /5 8 8 8 80 78 73 71 71  3 1 1 58 55 5 50 / 8 8 5  3 38 35 8 5 

Prec$%ac&' Eec%a  ENE

11.0 /0.

*EB

83.0 8.7

MAR

ABR

7.0 3.0 1.83 5.55

MA+

1.0 0

,UN

0.0 0

,UL

0.0 0

AO

1.0 0

SEP

.0 0

OCT

1.0 10.5

NO.

7.0 0./

DIC

50.0 1.75

P2o6$6&&4$4 .08 .17 .5 8.33 10. 1.50 1.58 1.7 18.75 0.83 ./ 5.00 7.08 /.17 31.5 33.33 35. 37.50 3/.58 1.7 3.75 5.83 7./ 50.00 5.08 5.17 5.5 58.33 0. .50 .58 .7 8.75 70.83 7./ 75.00 77.08 7/.17 81.5 83.33 85. 87.50 8/.58 /1.7 /3.75 /5.83 /7./

A(OS 1/ 1/5 1/ 1/7 1/8 1// 1/70 1/71 1/7 1/73 1/7 1/75 1/7 1/77 1/78 1/7/ 1/80 1/81 1/8 1/83 1/8 1/85 1/8 1/87 1/88 1/8/ 1//0 1//1 1// 1//3 1// 1//5 1// 1//7 1//8 1/// 000 001 00 003 00 005 00 007 008 00/ 010

P Anu$ Puno 77 58/ 3/ /5 3 505 5/ 5 7// 7/7 75 /5 757 73 87 5 15 803 7/ 3 1/0 107 / / 8 85 7 5/7 373 71 803 53 75 /10 1 58 1010 /5 1 73 8// /5/ /5 583 78 870 5/0

P Anu$ U!$o 317 580 330 78 53/ 81 571 5/ 588 553 7 871 5 15 7/5 571 555 83 717 /5 13 1001 8// 0 /7 718 77 3 533 8// 31 /3 /0 853 57 7/ 888 71 577 7 5 /11 77 87 03 711 70

Puno P A%u!u 77 10 158 153 77 381 3850 50 5301 0/8 850 780 851 /30 10131 1057 117 1075 18/ 13303 15/3 155 15/1 170 180 18751 1/3/8 1///5 038 11/ 1/3 75 3/ 13/ 753 533/ 3/ 70 785 817 /31 3075 317 31810 388 33158 3378

U!$o P A%u!u 317 8/7 17 1/05  /5 3/ 3/55 53 50/ 58 713 7378 7//3 8788 /35/ //1 1078 115 1170 1310 1107 1500 15 113 17131 17808 1831 18/ 1/83 0/ 0787 18/ 5 310/ 3/01 78/ 50 037 73 715 83 /100 /787 301/0 30/01 31371

TOTAL 3/7.0 /81.5 13.5 0/.0 10.0 3103.0 373.0 8.5 /.0 55/7.0 3.0 758.5 7//.5 88.5 /5/.5 10008.0 105/3.0 1111.5 117.0 1531.5 138/.5 188.0 157/8.5 1333.0 173/.5 17/1.0 1803.0 1/13.0 1/.0 0/.0 1113.0 131.0 5/.0 330.5 3/31.0 0.0 55/.0 5.0 81.0 75/0.0 835.5 /300.5 3013.5 307/8.5 313/.0 30/.5 355/.5

PRO+EDIO ACU+ULADO DE LA ESTACIN PUNO P Anua' 4""""

!*"""

!""""

2*"""   /   n   *    P   7   n    6       2   ,    4       5       s   0   +    P

2""""

1*"""

1""""

*"""

" "#"

*"""#"

1""""#"

1*"""#"

2""""#"

2*"""#"

!""""#"

!*"""#"

P+/m0/ A*m*,/ 0 ,s Es4,/n0s

P Anua'

PRO+EDIO ACU+ULADO DE LA ESTACIN U+A,O P Anua' !*"""

!""""

2*"""

  /   8   ,   m    U   7   n    6       2   ,    4       5       2   0   +    P

2""""

1*"""

1""""

*"""

" "#"

*"""#"

1""""#"

1*"""#"

2""""#"

P+/m0/ A*m*,/ 0 ,s Es4,/n0s

P Anua'

2*"""#"

!""""#"

!*"""#"

HIDRO"RAMA DE LA ESTACION PUNO 14""

12""

1"""    M    M   n   0   n    6       2   ,    4       5       s   0   +    P   0    1    3   ,    4   /    T

.""

""

4""

2""

" 1"

1+"

1."

1"

2"""

2"1"

2"2"

2"""

2"1"

2"2"

TOTAL EN A9OS E/TACION : PUNO

DIDRO"RAMA DE LA ESTACION UMAO 1""

14""

12""

   M    M   n   0   n    6       2   ,    4       5       s   0   +    P

1"""

.""

""

4""

2""

" 1"

1+"

1."

1" TOTEL DE A9OS

DIDRO"RAMA DE LA ESTACION UMAO 1""

14""

12""

   M    M   n   0   n    6       2   ,    4       5       s   0   +    P

1"""

.""

""

4""

2""

" 1"

1+"

1."

1"

2"""

2"1"

2"2"

TOTEL DE A9OS E/TACION : U7A0O

ANALISIS DE DOBLE MASA DE LAS ESTACIONES PUNO  UMAO 4""""

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!""""   s   ,    1   ,    3   *   m   *   2    A   s   0   n   /       2   ,    4       5       s   0   +    P

2*"""

2""""

1*"""

1""""

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" "#"

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1""""#"

1*"""#"

2""""#"

P+/m0/ 0 ,s Es4,/n0s P A

P A

2*"""#"

!""""#"

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ANALISIS DE DOBLE MASA DE LAS ESTACIONES PUNO  UMAO 4""""

!*"""

!""""   s   ,    1   ,    3   *   m   *   2    A   s   0   n   /       2   ,    4       5       s   0   +    P

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2""""

1*"""

1""""

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" "#"

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1""""#"

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P+/m0/ 0 ,s Es4,/n0s P Aumu

P Aumu

CEDULA 0 CALENDARIO DE CULTIVO CULTIVO PAPA ?AA/  AVENA ORRA6ERA QUINUA TOTAL AREA (9a,#)

AREA

AO

SEP

OCT

NO.

DIC

ENE

*EB

MAR

ABR

MA+

,UN

1"  *  2"   1*  *" !" !" !" !" 2" 1" 1" 1" 1" 1"

,UL

1"

"

COEICIENTE/ DE CULTIVO PRO7EDIO PONDERADO (8) CULTIVO PAPA ?AA/  AVENA ORRA6ERA QUINUA /U7A 8 Frea /UA7A Frea (9a,#) 8

AREA

AO

1" * 2" 1* *"

SEP

OCT

NO.

DIC

1@ 1@

"#*. "#+

"#4 1#"!

1#1* 1#1*

1#1* 1#1*

1@  !" "#2"

"#+ 21 !" "#+"

1#"2 2#.* !" 1#""

1#1* !4#* !" 1#1*

"#. 2+#4* 2" 1#!+

ENE

*EB

MAR

ABR

MA+

"#* "#+ "#4

"#*

"#+

1#12

1#1*

22#2 1" 2#22

1" 1" 1#""

14 1" 1#4"

22#4 1" 2#24

2! 1" 2#!"

,UN

1" "#""

1@ E' a'or 8  1 ara e' me, &e a$o,%o en %o&o, 'o, u'%io, e,%an &e,%ina&o a' rie$o &e rearai>n &e %erreno o rie$o#

CALCULO DE EVAPOTRAN/PIRACION POTENCIAL DE/CRIPCION TE7PERATURA C3 TE7PERATURA 3 C? CE 7 13 ETP (mmmen,ua') ETP (mm&-a)

AO

 42#." 1 1#"1 1#.!. +#! 2#*

SEP

+#* 4*#*" 1 1#"1 1#12 *"#. 1#4

OCT

.#. 4+#.4 1 1#"1 2#*" 11#+ !#.

 A'%i%u& : NO.

# 4#2. 1 1#"1 2#1 12.#. 4#1*

DIC

#4 4.#2 1 1#"1 2#++ 1!*# 4#!+

!.2" m,nm ENE

#2 4.#* 1 1#"1 2#+! 1!2#. 4#2.

*EB

#2 4.#* 1 1#"1 2#!4 11!# !#

MAR

#1 4.#!. 1 1#"1 2#!2 112#1 !#2

ABR

.# 4+#4. 1 1#"1 1#1 "# 2#!

MA+

#+ 44#" 1 1#"1 1#+ +!#4 2#!+

,UN

*#! 41#*4 1 1#"1 1#4 "#. 2#"!

,UL

4#. 4"#4 1 1#"1 1#*. 4#" 2#"+

,UL

CEDULA 0 CALENDARIO DE CULTIVO CULTIVO PAPA ?AA/  AVENA ORRA6ERA QUINUA TOTAL AREA (9a,#)

AREA

AO

SEP

OCT

NO.

DIC

ENE

*EB

MAR

ABR

MA+

,UN

1"  *  2"   1*  *" !" !" !" !" 2" 1" 1" 1" 1" 1"

,UL

1"

"

COEICIENTE/ DE CULTIVO PRO7EDIO PONDERADO (8) CULTIVO PAPA ?AA/  AVENA ORRA6ERA QUINUA /U7A 8 Frea /UA7A Frea (9a,#) 8

AREA

AO

1" * 2" 1* *"

SEP

OCT

NO.

DIC

1@ 1@

"#*. "#+

"#4 1#"!

1#1* 1#1*

1#1* 1#1*

1@  !" "#2"

"#+ 21 !" "#+"

1#"2 2#.* !" 1#""

1#1* !4#* !" 1#1*

"#. 2+#4* 2" 1#!+

ENE

*EB

MAR

ABR

MA+

"#* "#+ "#4

"#*

"#+

1#12

1#1*

22#2 1" 2#22

1" 1" 1#""

14 1" 1#4"

22#4 1" 2#24

2! 1" 2#!"

,UN

1" "#""

1@ E' a'or 8  1 ara e' me, &e a$o,%o en %o&o, 'o, u'%io, e,%an &e,%ina&o a' rie$o &e rearai>n &e %erreno o rie$o#

CALCULO DE EVAPOTRAN/PIRACION POTENCIAL DE/CRIPCION TE7PERATURA C3 TE7PERATURA 3 C? CE 7 13 ETP (mmmen,ua') ETP (mm&-a)

E;eienia &e rie$o 

AO

SEP

 42#." 1 1#"1 1#.!. +#! 2#*

+#* 4*#*" 1 1#"1 1#12 *"#. 1#4

OCT

.#. 4+#.4 1 1#"1 2#*" 11#+ !#.

 A'%i%u& : NO.

# 4#2. 1 1#"1 2#1 12.#. 4#1*

DIC

#4 4.#2 1 1#"1 2#++ 1!*# 4#!+

!.2" m,nm ENE

*EB

#2 4.#* 1 1#"1 2#+! 1!2#. 4#2.

#2 4.#* 1 1#"1 2#!4 11!# !#

MAR

ABR

#1 4.#!. 1 1#"1 2#!2 112#1 !#2

.# 4+#4. 1 1#"1 1#1 "# 2#!

MA+

#+ 44#" 1 1#"1 1#+ +!#4 2#!+

,UN

,UL

*#! 41#*4 1 1#"1 1#4 "#. 2#"!

4#. 4"#4 1 1#"1 1#*. 4#" 2#"+

,UN

,UL

"#4 AO

ETP (mm) ; ETA (mm) PE DEMANDA NETA (mm m0s) DEMANDA L,mn, DPL (mm?#) C,*, T/4, DP (?)

SEP

+#! "#2 1*# "#" 1*# !# !#! "#1 "#.

*"#. "#+ !*# "#" !*# ..# ..#4 "#! 1#

DEMANDA DE RIE"O   DESCRIPCION A+0, H,s# E45 mm+  M+ C,54#(+!-. M+ (+ !-. M+ (+ !-. M+ (+ !-. R0@# T/4, (L4+  R0@# T/4, (L4+  R0@# T/4, (L4+  D0m,n, N04, m3 D0m,n, T/4, m3!-. D0m#N04,B+*4, M3
OCT

11#+ 1#" 11#1 1"#* 1".#+ 2+1#+ 2+1+#! 1#" 4#+

NO.

DIC

12.#. 1#2 14.#1 2"# 12+#2 !1+# !1+#* 1#2 #*

1!*# 1#4 1.#1 41#. 144#4 !"# !"#1 1#4 +#+

E;iienia &e rie$o  /ET !" !" *"#. "#+ 1#" "#" !*# "#1 "#! "#* "#* "# 1!#+ 1*#4 1+# 1"+2# 2.2#! "#"1"2 1"24#1

OCT !1 !"#" 11#+ 1#" 4#" 1"#* 1".#+ "#4 1#" 1#4 1#* 1#+ 4"# 4*#+ *2#2 !!!# .42!4#. "#"!14* !"4!*#2

'$'!$'# m! -#'$' 77C

NOV !" !"#" 12.#. 1#2 1#" 2"# 12+#2 "#* 1#2 1# 1#. 2#1 4#1 **#2 !#1 !.1*!#* *!.!#+ "#"!." !+#!

DIC !1 2"#" 1!*# 1#4 2+#" 41#. 144#4 "#* 1#! 1#. 2#" 2#! !*# 4"#4 4#2 44+*2#* 111..1#2 "#"41++ 24#*

ENE

1!2#. 2#2 24#+ "#2 2"4#* *11#! *11!#! 1# #* 4"#" 5 

ENE !1 1"#" 1!2#. 2#2 121#" "#2 2"4#* "#. 1# 2#* 2# !#! 2*#* 2.# !2#+ !4"*#* 1*.*1!#. "#"*1. 1"1#1

E 2. 1"#" 11!# 1#" .!#" .#+ 44# "#2 "#* "# "#+ "#. #2 +#" .#" 12*# !141+#! "#"12 4!.#1

*EB

MAR

ABR

MA+

11!# 1#" 11!# .#+ 44# 112#2 1122#" "#4 2#*

112#1 1#4 1*# 1#. *#1 2!+#. 2!++# 1#" *#

"# 2#2 2"!# 2*# 1+.#" 44*#" 44*"#! 1#+ *#2

+!#4 2#! 1.#. "#" 1.#. 422#1 422"#+ 1# #.

"#. "#" "#" "#" "#" "#" "#" "#" "#"

4#" "#" "#" "#" "#" "#" "#" "#" "#"

7A0 !1 1"#" +!#4 2#! 1#" "#" 1.#. "# 1# 2#1 2#4 2#+ 21#" 2!# 2+#" *2!!+#" 1!".42# "#"4..* 1*+*.#4

6UN !" 1"#" "#. "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#""""" "#"

6UL !1 "#" 4#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#""""" "#"

AGO !1 !"#" +#! "#2 1#" "#" 1*# "#1 "#1 "#2 "#2 "#! *# #+ +# 414# 122.#4 "#""4* 44!#!

"#4

7AR AR !1 !" 1"#" 1"#" 112#1 "# 1#4 2#2 +4#" !2#" 1#. 2*# *#1 1+.#" "#4 "#+ "# 1#+ 1#2 2#! 1#! 2# 1#* 2# 11#. 22# 1!#! 2*#. 1*#2 2#4 24.2# *!4"4#2 +!+"#4 1!!*1"#4 "#"2+*2 "#"*1*1 ..++#" 1+1#*

,UL

E;eienia &e rie$o 

"#4 AO

ETP (mm) ; ETA (mm) PE DEMANDA NETA (mm m0s) DEMANDA L,mn, DPL (mm?#) C,*, T/4, DP (?)

SEP

+#! "#2 1*# "#" 1*# !# !#! "#1 "#.

OCT

*"#. "#+ !*# "#" !*# ..# ..#4 "#! 1#

DEMANDA DE RIE"O   DESCRIPCION A+0, H,s# E45 mm+  M+ C,54#(+!-. M+ (+ !-. M+ (+ !-. M+ (+ !-. R0@# T/4, (L4+  R0@# T/4, (L4+  R0@# T/4, (L4+  D0m,n, N04, m3 D0m,n, T/4, m3!-. D0m#N04,B+*4, M3
11#+ 1#" 11#1 1"#* 1".#+ 2+1#+ 2+1+#! 1#" 4#+

NO.

DIC

12.#. 1#2 14.#1 2"# 12+#2 !1+# !1+#* 1#2 #*

1!*# 1#4 1.#1 41#. 144#4 !"# !"#1 1#4 +#+

ENE

E;iienia &e rie$o  /ET !" !" *"#. "#+ 1#" "#" !*# "#1 "#! "#* "#* "# 1!#+ 1*#4 1+# 1"+2# 2.2#! "#"1"2 1"24#1

OCT !1 !"#" 11#+ 1#" 4#" 1"#* 1".#+ "#4 1#" 1#4 1#* 1#+ 4"# 4*#+ *2#2 !!!# .42!4#. "#"!14* !"4!*#2

1!2#. 2#2 24#+ "#2 2"4#* *11#! *11!#! 1# #*

*EB

MAR

ABR

MA+

11!# 1#" 11!# .#+ 44# 112#2 1122#" "#4 2#*

112#1 1#4 1*# 1#. *#1 2!+#. 2!++# 1#" *#

"# 2#2 2"!# 2*# 1+.#" 44*#" 44*"#! 1#+ *#2

+!#4 2#! 1.#. "#" 1.#. 422#1 422"#+ 1# #.

"#. "#" "#" "#" "#" "#" "#" "#" "#"

4#" "#" "#" "#" "#" "#" "#" "#" "#"

7A0 !1 1"#" +!#4 2#! 1#" "#" 1.#. "# 1# 2#1 2#4 2#+ 21#" 2!# 2+#" *2!!+#" 1!".42# "#"4..* 1*+*.#4

6UN !" 1"#" "#. "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#""""" "#"

6UL !1 "#" 4#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#" "#""""" "#"

AGO !1 !"#" +#! "#2 1#" "#" 1*# "#1 "#1 "#2 "#2 "#! *# #+ +# 414# 122.#4 "#""4* 44!#!

*#* *#2

*#* #.

*#* "#"

*#* "#"

4"#" 5 

NOV !" !"#" 12.#. 1#2 1#" 2"# 12+#2 "#* 1#2 1# 1#. 2#1 4#1 **#2 !#1 !.1*!#* *!.!#+ "#"!." !+#!

DIC !1 2"#" 1!*# 1#4 2+#" 41#. 144#4 "#* 1#! 1#. 2#" 2#! !*# 4"#4 4#2 44+*2#* 111..1#2 "#"41++ 24#*

ENE !1 1"#" 1!2#. 2#2 121#" "#2 2"4#* "#. 1# 2#* 2# !#! 2*#* 2.# !2#+ !4"*#* 1*.*1!#. "#"*1. 1"1#1

E 2. 1"#" 11!# 1#" .!#" .#+ 44# "#2 "#* "# "#+ "#. #2 +#" .#" 12*# !141+#! "#"12 4!.#1

*#* 4#+

*#* #*

*#* +#+

*#* #*

,UN

,UL

"#4

7AR AR !1 !" 1"#" 1"#" 112#1 "# 1#4 2#2 +4#" !2#" 1#. 2*# *#1 1+.#" "#4 "#+ "# 1#+ 1#2 2#! 1#! 2# 1#* 2# 11#. 22# 1!#! 2*#. 1*#2 2#4 24.2# *!4"4#2 +!+"#4 1!!*1"#4 "#"2+*2 "#"*1*1 ..++#" 1+1#*

'$'!$'# m! -#'$' 77C

ALANCE ?IDRICO 0 CAUDAL DE DI/EO DISPONIBILIDAD DE A"UA (4
*#* "#.

*#* 1#

*#* 2#*

*#* *#

ALANCE ?IDRICO 0 CAUDAL DE DI/EO DISPONIBILIDAD DE A"UA (4
2""

111#.

*#* "#.

*#* 1#

*#* 4#+

*#* #*

*#* +#+

*#* #*

*#* 2#*

*#* *#

*#* *#2

*#* #.

*#* "#"

*#* "#"

2""

111#.

RESULTADOS  CALCULO DE LA VARIACIÓN MENSUAL DEL “KC” PARA EL CULTIVO DE PAPA

e9a &e ,iemHra : O%uHre Perio&o Ve$e%a%io : "* me,e, (1*" &ia,) Duraion &e 'a, ;a,e, &e' &e,arro''o &e 'a aa en &ia, La uHiai>n $eo$rF;ia &e Puno e,: La%i%u& ,ur : 1* *" ""J Lon$i%u& Oe,%e : +" "" ""J  A'%i%u& : !.2! m,nm# MESES

MF

O%uHre 2#*" NoiemHre 2#" DiiemHre 2#+ Enero 2#+! eHrero 2#!!+ 7arKo 2#!!

TEMPER (C) #*" #*" 1"#2" #." #." #."

TMF (F) 4#1" 4#1" *"#! 4#4 4#4 4#4

CH

CE

1 1 1 1 1 1

1#". 1#". 1#". 1#". 1#". 1#".

E45 (mm<,) 4#2+ 4#1 4#.4 4#+2 4#4+ 4#"!

A,umien&o una ;reuenia &e rie$o : + &ia, e' a'or &e 8 e, i$ua' a "#4. De%erminaion &e' 8 ara 'a e%aa &e ma&uraion M o,e9a %enien&o en uen%a 'a ?#R# 0 'a e'oi&a& &e' ien%o e,: E%aa &e ma&uraion 8  1#1* e%aa &e o,e9a 8  "#+* ; CULTIVO DE LA PAPA

1#! 1#2

RESULTADOS  CALCULO DE LA VARIACIÓN MENSUAL DEL “KC” PARA EL CULTIVO DE PAPA

e9a &e ,iemHra : O%uHre Perio&o Ve$e%a%io : "* me,e, (1*" &ia,) Duraion &e 'a, ;a,e, &e' &e,arro''o &e 'a aa en &ia, La uHiai>n $eo$rF;ia &e Puno e,: La%i%u& ,ur : 1* *" ""J Lon$i%u& Oe,%e : +" "" ""J  A'%i%u& : !.2! m,nm# MESES

MF

O%uHre 2#*" NoiemHre 2#" DiiemHre 2#+ Enero 2#+! eHrero 2#!!+ 7arKo 2#!!

TEMPER (C) #*" #*" 1"#2" #." #." #."

TMF (F) 4#1" 4#1" *"#! 4#4 4#4 4#4

CH

CE

1 1 1 1 1 1

1#". 1#". 1#". 1#". 1#". 1#".

E45 (mm<,) 4#2+ 4#1 4#.4 4#+2 4#4+ 4#"!

A,umien&o una ;reuenia &e rie$o : + &ia, e' a'or &e 8 e, i$ua' a "#4. De%erminaion &e' 8 ara 'a e%aa &e ma&uraion M o,e9a %enien&o en uen%a 'a ?#R# 0 'a e'oi&a& &e' ien%o e,: E%aa &e ma&uraion 8  1#1* e%aa &e o,e9a 8  "#+* ; CULTIVO DE LA PAPA

1#! 1#2 1 -#'   2    ;

-#%

C

-#! -#2 -73-

3-7%-

%-7!$

!$71$

ETAPAS

 CALCULO DE LA VARIACIÓN MENSUAL DEL “KC” PARA EL

CULTIVO DE UINUA e9a &e ,iemHra : O%uHre Perio&o Ve$e%a%io : "* me,e, (1*" &ia,) La uHiai>n $eo$rF;ia &e Puno e,: La%i%u& ,ur : 1* *" ""J Lon$i%u& Oe,%e : +" "" ""J  A'%i%u& : !.2! m,nm#

MESES

MF

TMF (F) 4#1" 4#1" *"#!

CH

CE

2#*" 2#" 2#+

TEMPR# (C) #*" #*" 1"#2"

1 1 1

1#". 1#". 1#".

E45 (mm<,) 4#2+ 4#1 4#.4

O%uHre NoiemHre DiiemHre

Enero eHrero 7arKo

2#+! 2#!!+ 2#!!

#." #." #."

4#4 4#4 4#4

1 1 1

1#". 1#". 1#".

4#+2 4#4+ 4#"!

Enero 2#+! #." 4#4 1 1#". 4#+2 eHrero 2#!!+ #." 4#4 1 1#". 4#4+ 7arKo 2#!! #." 4#4 1 1#". 4#"! A,umien&o una ;reuenia &e rie$o : + &ia, e' a'or &e 8 e, i$ua' a "#4. De%erminaion &e' 8 ara 'a e%aa &e ma&uraion M o,e9a (%erera M uar%a ) e%aa %enien&o en uen%a 'a ?#R# 0 'a e'oi&a& &e' ien%o e,: a &e ma&uraion 8  1#1*

e%aa &e o,e9a 8  "#2*

"RAFICO DEL ; DE LA UINUA 1#! 1#2   2    ;    O    V    I    T    L    U    C    E    D  #    F    E    O    C

1 -#' -#% -#! -#2 -71-

1--7&$

&$7!-

!-72-

ETAPAS

CULTIVO DE AVENA FORRAERA

e9a &e ,iemHra : O%uHre Perio&o Ve$e%a%io : "* me,e, (1*" &ia,) La uHiai>n $eo$rF;ia &e Puno e,: La%i%u& ,ur : 1* *" ""J Lon$i%u& Oe,%e : +" "" ""J  A'%i%u& : !.2! m,nm MESES MF TEMPR# TMF CH CE (C) (F) O%uHre 2#*" #*" 4#1" 1 1#". NoiemHre 2#" #*" 4#1" 1 1#". DiiemHre 2#+ 1"#2" *"#! 1 1#". Enero 2#+! #." 4#4 1 1#". eHrero 2#!!+ #." 4#4 1 1#". 7arKo 2#!! #." 4#4 1 1#".

E45 (mm<,) 2#" 2#." 2#+" !#"" 2#. 2#

A,umien&o una ;reuenia &e rie$o : + &ia, e' a'or &e 8 e, i$ua' a "#4. De%erminaion &e' 8 ara 'a e%aa &e ma&uraion M o,e9a (%erera M uar% %enien&o en uen%a 'a ?#R# 0 'a e'oi&a& &e' ien%o e e%aa &e ma&uraion e%aa &e o,e9a 8  1#1* 8  "#2" "RAFICO DEL ; DE LA AV ENA FORRAJERA

1#!   2    ;    O    V    I    T    L    U    C    E    D  #    F

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1#2 1 -#' -#% -#!

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ETAPAS

 CALCULO DE LA VARIACIÓN MENSUAL DEL “KC” PARA EL CULTIVO DE HA!A

e9a &e ,iemHra : O%uHre Perio&o Ve$e%a%io : "* me,e, (1*" &ia,) La uHiai>n $eo$rF;ia &e Puno e,: La%i%u& ,ur : 1* *" ""J Lon$i%u& Oe,%e : +" "" ""J  A'%i%u& : !.2! m,nm# MESES

MF

/e%iemHre 2#11 O%uHre 2#*" NoiemHre 2#" DiiemHre 2#+ Enero 2#+! eHrero 2#!!+ 7arKo 2#!!

TEMPER# (C) #*" #*" #*" 1"#2" #." #." #."

TMF (F) 4#1" 4#1" 4#1" *"#! 4#4 4#4 4#4

CH

CE

1 1 1 1 1 1 1

1#". 1#". 1#". 1#". 1#". 1#". 1#".

E45 (mm<,) !#+* 4#2+ 4#1 4#.4 4#+2 4#4+ 4#"!

A,umien&o una ;reuenia &e rie$o : + &ia, e' a'or &e 8 e, i$ua' a "#4. De%erminaion &e' 8 ara 'a e%aa &e ma&uraion M o,e9a (%erero M uar% %enien&o en uen%a 'a ?#R# 0 'a e'oi&a& &e' ien%o e,: E%aa &e ma&uraion 8  1#1* E%aa &e o,e9a 8  1#"*

"RAFICO DEL ; DE LA HABA 1#!   2    ;    O    V    I    T    L    U    C    E    D  #    F    E    O    C

1#2 1 -#' -#% -#! -#2 -72$

2$7'-

'-7'ETAPAS

'-73-

"+,/ 0 A4*+, 8 V/*m0n 0 P+0s, 42"*

42"4

42"!  #   m  #   n  #   s  #   m   n   0   n    6       2   ,      0    3    E

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C,5,, 0n M/n0s 0 M3 Cura &e Area,

Cura &e Vo'umen

CALCULO DE LA CURVA ALTURA 7 VOLUMEN  ALTURA 7 AREA

V 1= V  0 +

ELEVACION E'ea# In%ero# m,nm m,nm 42"" 42"" 42"1 42""#*" 42"2 42"1#2* 42"! 42"2#1! 42"4 42"!#"

(  A 0+  A 1 ) 2

 Δh

AREA m2 " 1"!"" 2"" .""" 111""

AREA VOLU7EN VOLU7EN ?a, m! m! " " " "#1"! *1*"#" "#""*1* "#2 2!+*"#" "#"2!+* "#. +12""#" "#"+12 1#11 111*"#" "#111*

1# CALCULO DE LA ALTURA DE LA PRESA D,4/s 5,+, 0 C?*/ Vo'umen U%i'(Vu)  .*.4*.#!*2 m!  rea &e 'a Cuena  2"!"2* m2 Pre,ii%ai>n 7e&ia Anua'  +1.#"4! mm  ETP Anua'  111#+." mm  Co9e;# &e Re&ui>n &e' Tanue A  "#++ Vi&a U%i' &e 'a Pre,a  2* Ao, 5 &e /e&imen%ai>n  "#1* 5 

"#+1. m 1#12 m "#""1*

"#" 2"""#" *!.""#" 1!"""#" 22!.""#"

CALCULO DE LA CURVA ALTURA 7 VOLUMEN  ALTURA 7 AREA

V 1= V  0 +

ELEVACION E'ea# In%ero# m,nm m,nm 42"" 42"" 42"1 42""#*" 42"2 42"1#2* 42"! 42"2#1! 42"4 42"!#"

(  A 0+  A 1 ) 2

 Δh

AREA m2 " 1"!"" 2"" .""" 111""

AREA VOLU7EN VOLU7EN ?a, m! m! " " " "#1"! *1*"#" "#""*1* "#2 2!+*"#" "#"2!+* "#. +12""#" "#"+12 1#11 111*"#" "#111*

1# CALCULO DE LA ALTURA DE LA PRESA D,4/s 5,+, 0 C?*/ Vo'umen U%i'(Vu)  .*.4*.#!*2 m!  rea &e 'a Cuena  2"!"2* m2 Pre,ii%ai>n 7e&ia Anua'  +1.#"4! mm  ETP Anua'  111#+." mm  Co9e;# &e Re&ui>n &e' Tanue A  "#++ Vi&a U%i' &e 'a Pre,a  2* Ao, 5 &e /e&imen%ai>n  "#1* 5   Area To%a' &e' Cu'%io  *" ?a,  Deman&a ru%a &e Rie$o  .*.4*.#4 m! 

"#+1. m 1#12 m "#""1* *""""" m2 "#.*. 77

C/>00n40 0 0s/++0n4, Va'or &e C /e$n e' rea /e$n Preii%ai>n Por CoHer%ura Ve$e%a'

C  C  C 

L,mn, 0,5/+,, En  "#!2"1!*"1 m#

V/*m0n Es*++/ M0/ An*, (Vm,)

V ma=(  A c∗ Pm∗C ) Vma  211*#"!1 m!

C*+, A4*+, V/*m0n G+0, s0n 0 +?/ Vo'umen U%i'(Vu)  .*.4*.#!*2 m!  A'%ura Po,iH'e (9)  2#. m  Area e,e
C*+, A4*+, V/*m0n G+0, s0n 0s4m,6n +,/

 '%ura 7e&ia   Area e,e
1#4 +!+"" m2 *.""" !

* * *" 2"

5 5 5 5

"#" 2"""#" *!.""#" 1!"""#" 22!.""#"

 '%ura 7e&ia   Area e,e
1#4 +!+"" m2 *.""" m!

V/*m0n M*0+4/ (Vs)

V s =0.0015 ( 25∗V m ) V,  1"!*#*4 m! Vm (Corre$i&o)  4!4+#2*

C*+, A4*+, V/*m0n G+0, Vo'umen U%i'(Vu)  4!4+#24* m!  A'%ura Po,iH'e (9)  4m  Area e,e
C*+, A4*+, V/*m0n 7 G+0, Vo' To%a'  1!+!#"! m!  A'%ura &e Pre,a  !#* m ($ra;io)

"#1!+!

V/*m0n D0++,m,/ (Dm)  omo ViSC% or %an%o no 9aM &errame Dm  "

V/*m0n A5+/0>,0 (V,5+/)

V aprov = V m−( Dm + V c ) Varo  4!4+#2*

S*50+0 B0n0,, (A)  AH  Varo#&eman&a Hru%a &e rie$o  AH 

*"#!! m2

 AH  "#"*"! ?a

A4*+, 0 ,s O,s (B/+/ L+0)(>) Porue,%o or ?a8,9M 0 .5

h =0.0138 ( Df  )

Lon$#7F=#e=o,ii>n ien%o(m)

9  "#4+.". m

11*"

m#

9  "#4+.". m 1m 9

A4*+, T/4, 0 , P+0s, (H4) 4#*

?% 

2# DIMENSIONAMIENTO DE LA PRESA C?*/ 0 An>/ 0 , C/+/n, ()

W = 0.24 H +3 . 0 4#". m

 

4

m

D040+mn,6n 0 T,*0s ,e$n TaH'a Tenemo, ? 2#* 2

Ta'u& A$ua, ArriHa  Ta'u& A$ua, AHa
V 1 1

C?*/ 0 , B,s0 0 P+0s, (B5)

Bp =W + Htp ( H  1 + H  2 )  

24#!! m

m

11#2* m

Ca'u'o &e &

d = Bp −( S −0 . 3 S ) 1#4** m

&

C?*/ 0 R,/ 0 , P,+?/, 0 /ss0n  R =

√ d 

2

R

+ ha

2

1#.2!11 m

Y  o = R −d 

0o  "#!.1". m

Ds4,n, , F// 0 0+40 0 , 5,+,/,#  Aq =0 . 5 Yo  A  "#1.4"*4 m

C,*/ 0 F4+/ A*,s A,K/

a + Aa =

Yo ( 1 − Cosβ

)

Para  

2#** 

"#4!4+ aWAa  !#4.++

Euai>n 1

De 'a %aH'a &e i''a,eor   Aa(aWAa)  "#2  Aa  "#2 De (1) M (2) %enemo,

2#**  aWAa

Euai>n 2

1#"11 m

 Aa 

Euai>n !

Lue$o &e (!) en (1) Tenemo,

a  !#4.++!1 XAa

2#4+ m

a

C/m5+/,m/s ,/+0s 0 ,4*+, 0 4+/ Tiene ue um'ir 'a ,i$uien%e on&ii>n  Hfiltro <

 Htp 3

 Hfiltro ⇒ Hfiltro =a∗Senβ Senβ = a 1#1"+ m ?;i'%ro  ?%! 

2m

/i um'e 'a on&ii>n &e %a'u&e,

C,*/ 0 , B,s0 0 4+/

Bfiltro =2∗a ;  4#*1

C?*/s 0 , Ln0, 0 S,4*+,6n

√ 

2

Y  = 2  Yo − Yo 0 "#+!21 Y X "#1! 0 "#4!4

"#+!21 "#1!**"4.1

4#12 1"#+ 2+#2 44#+

1"!"" 2"" .""" 111""

"#1"! "#2 "#. 1#11

CALCULO DE LA CURVA ALTURA 7 VOLUMEN  ALTURA 7 AREA

V 1= V 0 +

ELEVACION E'ea# In%ero# m,nm m,nm 42"" 42"" 42"1 42""#*" 42"2 42"1#2* 42"! 42"2#1! 42"4 42"!#"

(  A 0+ A 1 ) 2

 Δh

AREA m2 "

AREA ?a, " " " " "

" " " "

VOLU7EN VOLU7EN m! m! " " "#" " "#" " "#" " "#" "

1# CALCULO DE LA ALTURA DE LA PRESA D,4/s 5,+, 0 C?*/ Vo'umen U%i'(Vu)  .*.4*.#!*2 m!  rea &e 'a Cuena  2"!"2* m2 Pre,ii%ai>n 7e&ia Anua'  +1.#"4! mm  ETP Anua'  111#+." mm  Co9e;# &e Re&ui>n &e' Tanue A  "#++ Vi&a U%i' &e 'a Pre,a  2* Ao, 5 &e /e&imen%ai>n  "#1* 5   Area To%a' &e' Cu'%io  *" ?a,  Deman&a ru%a &e Rie$o  .*.4*.#4 m! 

"#+1. m 1#12 m "#""1* *""""" m2 "#.*. 77

C/>00n40 0 0s/++0n4, Va'or &e C /e$n e' rea /e$n Preii%ai>n Por CoHer%ura Ve$e%a'

C  C  C 

L,mn, 0,5/+,, En  "#!2"1!*"1 m#

V/*m0n Es*++/ M0/ An*, (Vm,)

V ma=(  A c∗ Pm∗C ) Vma  211*#"!1 m!

C*+, A4*+, V/*m0n G+0, s0n 0 +?/ Vo'umen U%i'(Vu)  .*.4*.#!*2 m!

* * *" 2"

5 5 5 5

"#" "#" "#" "#" "#"

 A'%ura Po,iH'e (9)   Area e,e
2#. m *4"""" m2

C*+, A4*+, V/*m0n G+0, s0n 0s4m,6n +,/  '%ura 7e&ia   Area e,e
1#4 +!+"" m2 *.""" m!

V/*m0n M*0+4/ (Vs)

V s =0.0015 ( 25∗V m ) V,  Vm (Corre$i&o) 

1"!*#*4 m! 4!4+#2*

C*+, A4*+, V/*m0n G+0, Vo'umen U%i'(Vu)  4!4+#24* m!  A'%ura Po,iH'e (9)  4m  Area e,e
1+2+#44 m!

C*+, A4*+, V/*m0n 7 G+0, Vo' To%a'  1!+!#"! m!  A'%ura &e Pre,a  !#* m ($ra;io)

V/*m0n D0++,m,/ (Dm)  omo ViSC% or %an%o no 9aM &errame Dm 

"

V/*m0n A5+/0>,0 (V,5+/)

V aprov= V m−( Dm + V c ) Varo 

4!4+#2*

S*50+0 B0n0,, (A)  AH  Varo#&eman&a Hru%a &e rie$o  AH 

*"#!! m2

"#1!+!

 AH 

"#"*"! ?a

A4*+, 0 ,s O,s (B/+/ L+0)(>) Porue,%o or ?a8,9M 0 .5

h =0.0138 ( Df  )

Lon$#7F=#e=o,ii>n ien%o(m) 9 9

11*"

m#

"#4+.". m 1m

A4*+, T/4, 0 , P+0s, (H4) 4#*

?% 

"+,/ 0 A4*+, 8 V/*m0 n 0 P+0s, 42"*

42"4

42"!

 #   m  #   n  #   s  #   m   n   0   n    6       2   ,      0    3    E

42"2

42"1

42""

41

41. "

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Cura &e Area,

Cura &e Vo'umen

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