PROBLEM 4S.1KNOWN:Long furnace of refractory brick with prescribed surface temperatures and material hermal conductivity. tFIND: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. ,AdANALYSIS: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(12qSq4kTT′==−AA)(1)where S is the shape factor for the symmetrical section. Selecting three temperature increments ( N =
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