problem4-38 - PROBLEM 4.38 KNOWN Heat generation and...

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PROBLEM 4.38 K NOWN: Heat generation and thermal boundary conditions of bus bar. Finite-difference grid. F IND: Finite-difference equations for selected nodes. SCHEMATIC: ASSUMPTIONS: (1) Steady-state conditions, (2) Two-dimensional conduction, (3) Constant roperties. p ANALYSIS: (a) Performing an energy balance on the control volume, ( Δ x/2)( Δ y/2) 1, find the FDE or node 1, f () ( ) ( ) ( ) o1 u1 t,c 61 t,c o u 2 6 ky / 2 1 TT x h1 T T T R/y / 2 1 2 x kx / 2 1 T T q x/2 y/2 1 0 y x/kR T h x/k T T T Δ⋅ Δ ⎛⎞ +⋅ + ⎜⎟ ′′ ΔΔ ⎝⎠ ⎡⎤ +− + Δ Δ = ⎣⎦ Δ Δ+ Δ + + ± 2 1 T < 2 t,c u 1 q x / 2k x/kR h x/k 2 T 0. −Δ + Δ + = ± ( b) Performing an energy balance on the control volume, ( Δ x)( Δ y/2) 1, find the FDE for node 13,
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This note was uploaded on 12/07/2010 for the course MAE Heat Trans taught by Professor Lee,j.s. during the Spring '10 term at Seoul National.

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