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4_16 - PROBLEM 4.6 KNOWN Hot pipe embedded eccentrically in...

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PROBLEM 4.6 KNOWN: Hot pipe embedded eccentrically in a circular system having a prescribed thermal conductivity. FIND: The shape factor and heat transfer per unit length for the prescribed surface temperatures. SCHEMATIC: ASSUMPTIONS: (1) Two-dimensional conduction, (2) Steady-state conditions, (3) Length l >> diametrical dimensions. ANALYSIS: Considering the cross-sectional view of the pipe system, the symmetrical section shown above is readily identified. Selecting four temperature increments (N = 4), construct the flux
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