The Rate of Heat Transfer Through The Wall, Cengel 2.56
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A straightforward simulation links FEA with hand calculations to analyze a 0.4 m thick plane wall. The wall has thermal conductivity of 2.3 W/m°C and surface area 20 m². The left side is maintained at 80°C, while the right side loses heat through convection with surroundings at 15°C, having a heat transfer coefficient of 24 W/m²°C. Assuming constant thermal conductivity and no internal heat generation, calculate (a) the differential equation and boundary conditions for steady one-dimensional heat conduction, (b) the temperature variation relation by solving it, and (c) the heat transfer rate through the wall.
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