A sphere (k185 W/mK, 7.25105m2/s) of30-mm diameter whose

Chapter 12, Problem 12.79

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A sphere (k?185 W/m?K, ??7.25?10?5m2/s) of30-mm diameter whose surface is diffuse and graywith an emissivity of 0.8 is placed in a large ovenwhose walls are of uniform temperature at 600 K. Thetemperature of the air in the oven is 400 K, and theconvection heat transfer coefficient between the sphereand the oven air is 15 W/m2?K.(a) Determine the net heat transfer to the sphere whenits temperature is 300 K.(b) What will be the steady-state temperature of thesphere?(c) How long will it take for the sphere, initially at300 K, to come within 20 K of the steady-statetemperature?(d) For emissivities of 0.2, 0.4, and 0.8, plot theelapsed time of part (c) as a function of the con-vection coefficient for 10h25 W/m2K ? .

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