Write equations for the darkened nodes in the grid in the figure. Note that all units are cgs. The convection coefficient is he=0.01 cal/(cm².C.s) and the thickness of the plate is 2 cm. (hint: use the control volume approach.)

Write equations for the darkened nodes in the grid in the figure. Note that all units are cgs. The convection coefficient is he=0.01 cal/(cm².C.s) and the thickness of the plate is 2 cm. (hint: use the control volume approach.)

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.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.9P

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Question

Kk.407.

Write equations for the darkened nodes in the
grid in the figure. Note that all units are cgs. The convection
coefficient is he=0.01 cal/(cm².C.s) and the thickness of the
plate is 2 cm. (hint: use the control volume approach.)
Convection
9x=h₂(T₁-T); T₁ = 20°C
j=2
1
0
i=0
k' = 0.7
Ax = 40
k' = 0.5
Ax = 20
9₂= 10 cal/cm²/s
1 2 3
Insulated
Ay = 15 Ay = 30

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