HW-3-key-2012

429 where the insulated boundary is treated as a

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Unformatted text preview: e equation, Eq. 4.29, where the insulated boundary is treated as a symmetry plane as shown below. PROBLEM 4.45 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 properties. ANALYSIS: (a) Performing an energy balance on the control volume, (∆x/2)(∆y/2)⋅1, find the FDE for node 1, ( + (b) Performing an energy balance on the control volume, (∆x)(∆y/2)⋅1, find the FDE for node 13, ( )+ ( ) COMMENTS: For fixed To and T∞, the relative amounts of heat transfer to the air and heat sink are determined by the values of h and . PROBLEM 4.55 KNOWN: Steady-state temperatures (K) at three nodes of a long rectangular bar. FIND: (a) Temperatures at remaining nodes and (b) heat transfer per unit length from the bar using nodal temperatures; compare with result calc...
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