A plate is cooled by a fluid with Prandtl number Pr >> 1. Surface temperature varies with distance form the leading edge according to T, (x,0)=T +C√x where C is constant. For such a fluid it is reasonable to assume that axial velocity within the thermal boundary layer is linear given by u = V₁² 8 Determine the local Nusselt number and show that surface heat flux is uniform. Use a third degree polynomial temperature profile and assume laminar boundary layer flow T V u -8 &₁ X T₁(x)=T +C√x

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.22P
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A plate is cooled by a fluid with Prandtl number Pr >> 1. Surface temperature varies with
distance form the leading edge according to
where C is constant. For such a
fluid it is reasonable to assume
that axial velocity within the
thermal boundary layer is linear
given by
u=V%
y
Determine the local Nusselt
number and show that surface
heat flux is uniform. Use a third
degree polynomial temperature
profile and assume laminar
boundary layer flow
y
YA
To
Vo
T₁(x,0)=T +C√√x
U
-8
&₁
X
T₁(x) = T₁ +C√x
Transcribed Image Text:A plate is cooled by a fluid with Prandtl number Pr >> 1. Surface temperature varies with distance form the leading edge according to where C is constant. For such a fluid it is reasonable to assume that axial velocity within the thermal boundary layer is linear given by u=V% y Determine the local Nusselt number and show that surface heat flux is uniform. Use a third degree polynomial temperature profile and assume laminar boundary layer flow y YA To Vo T₁(x,0)=T +C√√x U -8 &₁ X T₁(x) = T₁ +C√x
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