Diffusion Models Implied by the Theory of Mixtures
In this appendix the essential features of five models of diffusion will be summarized. The starting place for this discussion is the Theory of Mixtures as presented in Lecture 5. For brevity, none of the models discussed here will include the effects of chemical reactions. Chemical reaction within the framework of the Theory of Mixtures is discussed in Lecture 6 of the book here republished and in reference  of this appendix. The discussion in Lecture 6 is based, in part, on my article , which omits the effects of diffusion. Reference  shows how diffusion and chemical reactions can be included in a common framework.
KeywordsHelmholtz Free Energy Entropy Inequality Linear Elastic Material Virtual Mass Heat Flux Vector
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- R. M. Bowen, “Thermochemistry of reacting materials”, Journal of Chemical Physics 49 (1968): 1625–1637, 50 (1969): 4601–4602.Google Scholar
- R. M. Bowen, “Theory of mixtures”, in Continuum Physics, Volume III, edited by A. C. Eringen, New York, Academic Press, 1976.Google Scholar
- J. C. Podstrigac, “Differential equations of the problem of thermodiffusion in isotropic deformable solids”, Dopovidi Academii Nauk URSR 2 (1961): 169–172.Google Scholar
- T. B. Anderson & R. Jackson, “A fluid mechanical description of fluidized beds”, Industrial and Engineering Chemistry (Fundamentals) 6 (1967): 527–538.Google Scholar
- D. Drew, L. Cheng & RT. Lahey, Jr.., “The analysis of virtual mass effects in two-phase flow”, International Journal of Multiphase Flow 5 (1979): 232–242.Google Scholar