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Consider an aluminum pan (??=237 ????.??⁄) used to cook stew on top of an electric range. The bottom section of the pan is ??=0.25 ???? thick and has a diameter of ??=20 ????. The electric heating unit on the range top consumes 1200 W of power during cooking, and 85% of the heat generated in the heating element is transferred to the pan. During steady operation, the temperature of the inner surface of the pan is measured to be 115 °C. Assuming constant thermal conductivity, and one-dimensional heat transfer,
a) Express the mathematical formulation (the differential equation and the boundary conditions) of this heat transfer problem during steady operation.
b) Obtain a relation for the variation of temperature in the wall by solving the differential equation, and
c) Evaluate the temperature of the outer surface of the pan.
Package Design Brief: Assume you are the packaging engineer for a large consumer products company. In this company, the Packaging Design Briefs are initiated by the marketing group and forwarded to the Package Engineering group.
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