Heat Transfer. The Equation and Boundary Conditions

The equation of heat transfer in a moving medium is similar to Eq. (3.1.1) of convective diffusion and has the form 

For nonstationary problems, the temperature distribution in the flow at the initial instant of time must be given. 

Remote from the surface, one usually has the condition that temperature is constant in the flow region  

For problems of body-medium heat exchange, if constant temperature is maintained on the body surface, the second boundary condition is 

Obviously, from the mathematical viewpoint, problem (3.1.33), (3.1.34) describing the body-medium heat exchange is identical to problem (3.1.8)—(3.1.10) describing the flow-particle mass exchange in the case of a diffusion regime of reaction on the particle surface. 

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