Figure.2 shows the heat transfer rate per unit width (normal to the page) from a longitudinal section, x2-x₁, can be expressed as 912 = h₁2(x2-x1)(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 form hx =Cx², where C is a const To loo x2 dx 912 TSK Fig.2. A heat transfer of a longitudinal plate (a) Beginning with the convection rate equation in the form dq' = hxdx(Ts - T∞), derive an expression for h₁₂ in terms of C, x₁, andx2. (b) Derive an expression for h₁₂ in terms of x1, x2, and the average coefficients and h₂, corresponding to lengths x₁, andx2., respectively.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Hello, I am a mechanical engineering student and want to upload this question as I have an exam in early June about thermodynamics. I have been given a question that will help me answer my exams in June. Please could you answer showing step by step guidance on how to answer this question with the formula clearly shown. 

 

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2. Figure 2 shows the heat transfer rate per unit width (normal to the page) from a
longitudinal section, x₂ - x₁, can be expressed as q12 = h₁2(x2 − x₁)(Ts - Too),
where h₁2 is the average coefficient for the section of length (x₂-x₁). Consider
laminar flow over a flat plate with a uniform temperature T. The spatial variation of
the local convection coefficient is of the form hx = Cx², where C is a const
Too, Uco
111
TSK
L
X
912
X1
I
x2
I
X1
dq
dx
I
X2
Fig.2. A heat transfer of a longitudinal plate
(a) Beginning with the convection rate equation in the form dq' =h_dx(T, -T),
derive an expression for h₁2 in terms of C, x₁, andx₂.
(b) Derive an expression for h₁2 in terms of x₁, x2, and the average coefficients h₁ and
h₂, corresponding to lengths x₁, andx₂., respectively.
Transcribed Image Text:2. Figure 2 shows the heat transfer rate per unit width (normal to the page) from a longitudinal section, x₂ - x₁, can be expressed as q12 = h₁2(x2 − x₁)(Ts - Too), where h₁2 is the average coefficient for the section of length (x₂-x₁). Consider laminar flow over a flat plate with a uniform temperature T. The spatial variation of the local convection coefficient is of the form hx = Cx², where C is a const Too, Uco 111 TSK L X 912 X1 I x2 I X1 dq dx I X2 Fig.2. A heat transfer of a longitudinal plate (a) Beginning with the convection rate equation in the form dq' =h_dx(T, -T), derive an expression for h₁2 in terms of C, x₁, andx₂. (b) Derive an expression for h₁2 in terms of x₁, x2, and the average coefficients h₁ and h₂, corresponding to lengths x₁, andx₂., respectively.
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