problem4-16

# problem4-16 - PROBLEM 4.16 KNOWN Thin-walled copper tube...

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PROBLEM 4.16 KNOWN: Thin-walled copper tube enclosed by an eccentric cylindrical shell; intervening space illed with insulation. f FIND: Heat loss per unit length of tube; compare result with that of a concentric tube-shell rrangement. a SCHEMATIC: ASSUMPTIONS: (1) Steady-state conditions, (2) Constant properties, (3) Thermal resistances of opper tube wall and outer shell wall are negligible, (4) Two-dimensional conduction in insulation. c ANALYSIS: The heat loss per unit length written in terms of the shape factor S is and from Table 4.1 for this geometry, ( )( 1 2 q k S/ T T ′ = A ) 2 2 2 -1 S D d 2 / cosh . 2Dd π + = A 4z S ubstituting numerical values, all dimensions in mm, ( ) ( ) 2 2 2 -1 -1 120 30 4 20 S 2 / cosh 2 / cosh 1.903 4.991. 2 120
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