problem4-23 - PROBLEM 4.23 KNOWN Dimensions shape factor...

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PROBLEM 4.23 KNOWN: Dimensions, shape factor, and thermal conductivity of square rod with drilled interior hole. Interior and exterior convection conditions. FIND: Heat rate and surface temperatures. SCHEMATIC: ASSUMPTIONS: (1) Steady-state, two-dimensional conduction, (2) Constant properties, (3) Uniform convection coefficients at inner and outer surfaces. ANALYSIS: The heat loss can be expressed as ,1 ,2 conv,1 cond(2D) conv,2 T T q R R R = + + where ( ) ( ) 1 1 2 conv,1 1 1 R h D L 50W m K 0.25m 2m 0.01273K W π π = = × × × = ( ) ( ) 1 1 cond(2D) R Sk 8.59m 150W m K 0.00078K W
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