Chapter 2 Heat Conduction Equation2-57 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 1Heat conduction is steady and one-dimensional. 2Thermal conductivity is constant. 3 There is no heat generation. PropertiesThe 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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