Heat conduction and mass diffusion

In this chapter we will deal with steady-state and transient (or non steady-state) heat conduction in quiescent media, which occurs mostly in solid bodies. In the first section the basic differential equations for the temperature field will be derived, by combining the law of energy conservation with Fourier s law. The subsequent sections deal with steady-state and transient temperature fields with many practical applications as well as the numerical methods for solving heat conduction problems, which through the use of computers have been made easier to apply and more widespread. 

In conjunction with heat conduction we will also investigate mass diffusion. As a result of the analogy between these two molecular transport processes many results from heat conduction can be applied to mass diffusion. In particular the mathematical methods for the evaluation of concentration fields agree to a large extent with the solution methods for heat conduction problems. 

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Growth Limited by Heat Conduction and Mass Diffusion Simultaneously... 

Analogy between heat conduction and mass diffusion. 

It can be shown that the differential equations for both heat conduction and mass diffusion are of the same form. Therefore, the solutions of mass diffusion equations can be obtained from Ihe solutions of corresponding heal conduction equations for the same type of boundary conditions by simply switching the corresponding coefficienis and variables. 

C Write down the relations for steady one-dimensional heat conduction and mass diffusion through a plane watt, and identify Ihe quantities in the two equations that correspond to each other. 

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