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Thermodynamics HW Solutions 98

Thermodynamics HW Solutions 98 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation 2-57 The top and bottom surfaces of a solid cylindrical rod are maintained at constant temperatures of 20 ° C and 95 ° C while the side surface is perfectly insulated. The rate of heat transfer through the rod is to be determined for the cases of copper, steel, and granite rod. Assumptions 1 Heat conduction is steady and one-dimensional. 2 Thermal conductivity is constant. 3 There is no heat generation. Properties The thermal conductivities are given to be k = 380 W/m °C for copper, k = 18 W/m °C for steel, and k = 1.2 W/m °C for granite. Analysis Noting that the heat transfer area (the area normal to the direction of heat transfer) is constant, the rate of heat transfer along the rod is determined from & Qk
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