problem4S.1 - PROBLEM 4S.1 KNOWN Long furnace of refractory...

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PROBLEM 4S.1 KNOWN: Long furnace of refractory brick with prescribed surface temperatures and material hermal conductivity. t F IND: Shape factor and heat transfer rate per unit length using the flux plot method SCHEMATIC: ASSUMPTIONS: (1) Furnace length normal to page, >> cross-sectional dimensions, (2) Two- imensional, steady-state conduction, (3) Constant properties. , A d ANALYSIS: Considering the cross-section, the cross-hatched area represents a symmetrical element. ence, the heat rate for the entire furnace per unit length is H ( 1 2 q S q 4 k T T ′ = = A A ) (1) where S is the shape factor for the symmetrical section. Selecting three temperature increments ( N =
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