Chapter 2 Heat Conduction Equation2-43 A spherical shell of inner radius , outer radius , and thermal conductivity kis considered. The outer surface of the shell is subjected to radiation to surrounding surfaces at T. Assuming no convection and steady one-dimensional conduction in the radial direction, the radiation boundary condition on the outer surface of the shell can be expressed as r1r2surrr1r2Tsurrkε−=−kdT rdrTrT()224εσsurr42-44 A spherical container consists of two spherical layers A and B that are at perfect contact. The radius of the interface is ro. Assuming transient one-dimensional conduction in the radial direction, the boundary conditions at the interface can be expressed as t TrtAB(,))00=rand −kTrtxkxAABB∂))2-45 Heat conduction through the bottom section of a steel pan that is used to boil water on top of an electric range is considered (Fig. P2-45). Assuming constant thermal conductivity and one-dimensional
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