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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. Finitedifference
grid.
FIND: Finitedifference equations for selected nodes.
SCHEMATIC: ASSUMPTIONS: (1) Steadystate conditions, (2) Twodimensional 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: Steadystate 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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 Fall '12
 Deng
 Mass Transfer

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