1. A liquid film of thickness H flows down an inclined plane due to gravity. The plane is maintained at uniform temperature and the free film surface is insulated. Assume incompressible laminar flow and neglect axial variation of velocity and temperature and end effects. (a) Show that the axial velocity is given by PgH? - sin O 1 y² U = y Н 2 Н2 (b)Taking into consideration dissipation, determine the heat flux at the inclined plane.

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.54P
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1. A liquid film of thickness H flows down an inclined plane due to gravity. The plane is maintained at
uniform temperature and the free film surface is insulated. Assume incompressible laminar flow and
neglect axial variation of velocity and temperature and end effects.
T.
(a) Show that the axial velocity is given by
pgH?
-sin O
1 y²
2 H?
U =
Н
(b)Taking into consideration dissipation, determine the heat flux at the inclined plane.
Transcribed Image Text:1. A liquid film of thickness H flows down an inclined plane due to gravity. The plane is maintained at uniform temperature and the free film surface is insulated. Assume incompressible laminar flow and neglect axial variation of velocity and temperature and end effects. T. (a) Show that the axial velocity is given by pgH? -sin O 1 y² 2 H? U = Н (b)Taking into consideration dissipation, determine the heat flux at the inclined plane.
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