Heat Conduction with a Source Term

Example 4.5. Heat Conduction with a Source Term 

The technique illustrated in the previous examples can be applied for the case where there is a source term (this source term can be a function of x and t). Consider the transient heat conduction problem in a slab [5] 

Equation (4.5) is solved in Maple below. The programs given for the previous example can be modified to solve equation (4.5). Only the governing equation has to be changed since  

4 Partial Differential Equations in Semi-infinite Domains 

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The model was based on the assumption that each polymerization site was a spherical particle of radius ro immersed in a fluid (as shown in Fig. 2.2.3). A steady-state differential energy balance along with Fourier s Law of heat conduction with a source term (from Eq. 1.2.9) gave... 

Example 3.1 1D transient heat conduction with a source term The variables and parameters used in this example are as follows p = density, Cp = heat capacity, q = heat flux, k = thermal conductivity, A = cross-sectional area, S = source strength (J m s ). 

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