HW-3-key-2012

schematic assumptions 1 steady state 2 d conduction

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Unformatted text preview: ulated using knowledge of q.& SCHEMATIC: ASSUMPTIONS: (1) Steady-state, 2-D conduction, (2) Constant properties. ANALYSIS: (a) The finite-difference equations for the nodes (1,2,3,A,B,C) can be written by inspection using Eq. 4.35 and recognizing that the adiabatic boundary can be represented by a symmetry plane. Node A(to find T2): Node 3(to find ): Node 1 (to find ): 300+ (b) The heat rate out of the bar is determined by calculating the heat rate out of each control volume around the 300 K nodes. Consider the node in the upper left-hand corner; from an energy balance + Hence, for the entire bar or where] Substituting numerical values, find From an overall energy balance on the bar, As expected, the results of the two methods agree. Why must that be?...
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