PROBLEM 4S.6KNOWN:Shape and surface conditions of a support column. FIND:(a) Heat transfer rate per unit length. (b) Height of a rectangular bar of equivalent hermal resistance. tSCHEMATIC:ASSUMPTIONS:(1)Steady-state conditions, (2) Negligible three-dimensional conduction ffects, (3) Constant properties, (4) Adiabatic sides. ePROPERTIES:Table A-1, Steel, AISI 1010 (323K): k = 62.7 W/m⋅K. ANALYSIS:(a) From the flux plot for the half section, M ≈5 and N ≈8. Hence for the full section ()12MS21.25NqSkT TWq1.25 62.7100 0CmK=≈=−′≈×−⋅DAA<q7.8 kW/m.′ ≈(b) The rectangular bar provides for one-dimensional heat transfer.
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