Chapter 8. Transient Diffusion Processes

Learning Objectives

After completing this chapter, you will be able to:

  • Understand and use the separation of variables method for the solution of homogeneous linear partial differential equations.

  • Use the modified method of separation of variables for non-homogeneous problems.

  • Understand the superposition method for the solution of multidimensional transient diffusion problems.

  • Solve transient problems posed on a semi-infinite domain.

  • Understand the concepts behind the penetration model for mass transfer from a gas–liquid interface.

  • Solve eigenvalue problems with the CHEBFUN program.

  • Solve partial differential equations numerically with the PDEPE program in MATLAB.

In Chapter 2 we briefly examined ...

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