Problemas Resueltos de Flujo de Fluidos [Aerostática]

FLUJO DE FLUIDOS

GRUPO: 4502

UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO FACULTAD DE ESTUDIOS SUPERIORES ZARAGOZA

Ciudad de México a 29 de febrero de 2016 Semestre 2016-2

FLUJO DE FLUIDOS PROFESOR ORTIZ BAUTISTA DOMINGA

AEROSTÁTICA

POR SÁNCHEZ MADERA LUIS ÁNGEL

  4. 9 0×10 6050  96   250  100  730  70  5  9.1       −  =44 =6. 6 73×10        = 9.9. 1     =4. 9 0×10         = 6 050 00000  =1545      == 5730==116341044.2   =  −  ) 4.4.90×10  (6. 6 73×10  = 6050000   6 050000   =8.93  (3.280831  )=29.2978   =29.2978   FLUJO DE FLUIDOS

GRUPO: 4502

P2.25 Venus has a mass of   and a radius of . Its atmosphere is , but let us assume it to be . Its Surface temperature averages , decreasing to  at an altitude of . The average Surface pressure is . Estimate the atmospheric pressure of Venus at an altitude of . -

SOLUTIÓN

      = ∙ ..−−    −.       −.   ̅       = 9.1  ∙ ( )   .. ̅   = 6.6.3772 3772 

FLUJO DE FLUIDOS

GRUPO: 4502

45°  23°  =32.174   =32.174  

28. 9     12 ⁄  =29    =28.9=2038.22    =12  =1728       =1545  = 23  = 483       =  ∙    −− =     ln () =      ln =        l n      =        1728 ln 2038.22   = 0 29  (32.      (32. 1 74 )   (1545   ) 483483  (32.174  ) =0 =0 4248. 4248.7071071  =4248.7071 

P2.28 Earth’s atmospheric conditions vary somewhat. On a certain day the sea -level

temperature is  and the sea-level pressure is an air temperature of  and a pressure of SOLUTIÓN

. An airplane overhead registers

. Estimate the plane’s, in feet.

FLUJO DE FLUIDOS

 = 14.14.7  4300  10,000 

GRUPO: 4502

P2.17. For most problems we assume that . This is a reasonable approximation for sea level but not for other elevations. What is the average atmospheric pressure (a) at Salt Lake City, whose elevation is ; (b) at , the elevation to which the cabins on comercial airliners are pressurized; and (c) on the top of Mt. Everest ( )? (for simplicity, use the isotermal atmosphere)

29,028 

SOLUTIÓN

a)

b)

c)

=32.174   =32.174  

==2914.14.7     =1545  = 530        =  ∙    −−  = 4300   ̅ . .    −   −     ( )       .  .     = 14.14.7     ̅    =12.6235   = 10 00000   ̅ . .    −   −     ( )      .  .     = 14.14.7     ̅   =10. 3 159     = 29 02028   ̅ . .    −   −      ( )      .  .     = 14.14.7     ̅   = 5.2582582 

FLUJO DE FLUIDOS

GRUPO: 4502

1,1,445400  15   =? =29  =1545  = 15         = 530 

2.6. The tallest building in the world (excluding TV towers which are a re not buildings in the common sense) is the Sears Tower in Chicago, which is  tall. If the pressure in the supply line to the drinking fountain on the top floor (perhaps (per haps  high) is , What is the required pressure in the supply line at street stree t level? Assume zero flow in the wáter line. SOLUTIÓN

=32.174    =32. 1 74        ==10400 

      =  ∙   −  =   −  =  ̅ .15.   − (  ) .. ̅  −

 = 15.762472 762472 

FLUJO DE FLUIDOS

GRUPO: 4502

11,000 

2.7. The deepest point in the oceans of the world is believed to be in the Marianas Trench, southeast of Japan; there the depth is about . What is the pressure at that point?

   =1.027  = ∙       = 1.1.02727 0.03609     =0.0370644  ℎ = 11 000  = 433433 070070..8661661   =  +  ∙ ℎ      =14.7  + 0.0370644  433433 070.8661    = 16 066066..212  =1 093.24 