Heating sheets, depicted by the black bands in the diagram, are embedded symmetr

Question

Heating sheets, depicted by the black bands in the diagram, are embedded symmetrically in a plane wall. The thermal conductivity of the wall is 0.873 Btu/hr-ft-degree F, but no information is available about the internal configuration of the heating sheets The cross-sectional area of the wall, normal to the direction of heat flow, is 3.75 ft2. For a steady-state operating condition in which each heating sheet is putting out 445.2 Btu/hr, and T infinity = 71.2degree F, it is found that T2 = 178.3degree F and T4 = 105.07degree F. What are T1, T3, T5, and h? If Q were to be doubled while h and T infinity are unchanged, what are T1, T2, T3, T4, and T5?

Explanation / Answer

0.873Btu/ft-hr-F 3.75ft^2 445.2Btu/hr 71.2F T2=178.3 T4=105.07 gradient=((445.2/0.873)/3.75 =136F/ft T1=178.3-(2/12)*136 =155.63F T3=105.07+(2/12)*136 =127.74 T5=105.07-(2/12)*136 =82.4F

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