PROBLEM 4.38 KNOWN:Heat generation and thermal boundary conditions of bus bar. Finite-difference grid. FIND:Finite-difference equations for selected nodes. SCHEMATIC:ASSUMPTIONS:(1) Steady-state conditions, (2) Two-dimensional conduction, (3) Constant roperties. pANALYSIS:(a) Performing an energy balance on the control volume, (Δx/2)(Δy/2)⋅1, find the FDE or node 1, f()( )()()o1u1t,c61t,cou26ky/21TTxh1TTTR/y/212xkx/21TTqx/2y/2 10yx/kRThx/k TTT∞∞Δ⋅−Δ⎛⎞+⋅−+−⎜⎟′′ΔΔ⎝⎠⎡⎤+−+ΔΔ=⎣⎦ΔΔ+Δ++±21T⎤⎦<2t,cu1qx/ 2kx/kRhx/k2 T0.⎡+Δ−Δ+ Δ +=⎣±(b) Performing an energy balance on the control volume, (Δx)(Δy/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.