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.
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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ecfbd04-9453-4891-92a0-8c48cc184af7%2F5a5f3114-da2e-4369-b452-01454f4e3154%2Fhu61bmg_processed.png&w=3840&q=75)
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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