منابع مشابه
Multicomponent diffusion revisited
The derivation of the multicomponent diffusion law is revisited. Following Furry Am. J. Phys. 16, 63 1948 , Williams Am. J. Phys. 26, 467 1958 ; Combustion Theory, 2nd ed. Benjamin/ Cummings , Menlo Park, CA,1985 heuristically rederived the classical kinetic theory results using macroscopic equations, and pointed out that the dynamics of the mixture fluid had been assumed inviscid. This paper g...
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Molecular diffusion is an omnipresent phenomena that is important in a wide variety of contexts in chemical, physical, and biological processes. In the majority of cases, the diffusion process can be adequately described by Fick's law that postulates a linear relationship between the flux of any species and its own concentration gradient. Most commonly, a component diffuses down the concentrati...
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It is shown how the phase-space kinetic theory of polymeric liquid mixtures leads to a set of extended Maxwell-Stefan equations describing multicomponent diffusion. This expression reduces to standard results for dilute solutions and for undiluted polymers. The polymer molecules are modeled as flexible bead-spring structures. To obtain the Maxwell-Stefan equations, the usual expression for the ...
متن کاملMass conservation and singular multicomponent diffusion algorithms
We investigate mass conservation in multicomponent diffusion algorithms. Usual diffusion matrices are indeed singular, i.e., noninvertible, because of mass conservation constraints. A consequence is that when all mass fractions are treated as independent unknowns-a widely used approach in complex chemistry reacting flow solvers-artificial singularities may appear in the governing equations. The...
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Diffusion preserves the positivity of concentrations, therefore, multicomponent diffusion should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear multicomponent diffusion equations should be ordered and special tools are needed to provide the systematic construction of the nonlinear diffusion equations for multicomponent mixtures with significant interaction between...
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ژورنال
عنوان ژورنال: Chemical engineering
سال: 1964
ISSN: 0375-9253
DOI: 10.1252/kakoronbunshu1953.28.480