Problem 2 - - The heat transfer rate per unit width (normal to the page) from a longitudinal section between X2 and X₁ can be expressed as 912 = h₁₂ (x2 − ×₁)(Ts — T∞), where h₁₂ is the average coefficient for the section of length (x2 - x₁). Consider laminar flow over a flat plate with a uniform temperature Ts. The spatial variation of the local convection coefficient is of the from hx = Cx¹/3, where C is a constant. dq' 9'12 dx x1 x2 x1 x2 Beginning with the convection rate equation in the form dq' = hxdx(Ts - T∞), derive an expression for h12 in terms of C, X1, X2.

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8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.36P
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Problem 2
-
-
The heat transfer rate per unit width (normal to the page) from a longitudinal section between X2
and X₁ can be expressed as 912 = h₁₂ (x2 − ×₁)(Ts — T∞), where h₁₂ is the average coefficient
for the section of length (x2 - x₁). Consider laminar flow over a flat plate with a uniform
temperature Ts. The spatial variation of the local convection coefficient is of the from hx = Cx¹/3,
where C is a constant.
dq'
9'12
dx
x1
x2
x1
x2
Beginning with the convection rate equation in the form dq' = hxdx(Ts - T∞), derive an
expression for h12 in terms of C, X1, X2.
Transcribed Image Text:Problem 2 - - The heat transfer rate per unit width (normal to the page) from a longitudinal section between X2 and X₁ can be expressed as 912 = h₁₂ (x2 − ×₁)(Ts — T∞), where h₁₂ is the average coefficient for the section of length (x2 - x₁). Consider laminar flow over a flat plate with a uniform temperature Ts. The spatial variation of the local convection coefficient is of the from hx = Cx¹/3, where C is a constant. dq' 9'12 dx x1 x2 x1 x2 Beginning with the convection rate equation in the form dq' = hxdx(Ts - T∞), derive an expression for h12 in terms of C, X1, X2.
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