Topic
Maxwell–Stefan diffusion
About: Maxwell–Stefan diffusion is a research topic. Over the lifetime, 73 publications have been published within this topic receiving 4517 citations.
Papers published on a yearly basis
Papers
Book•
1 Jan 1993
TL;DR: In this paper, the authors present an important book on multicomponent mass transfer, meant for readers already acquainted with the theory of mass transfer and the fundamentals of transport phenomena, and provide a computer diskette with the book; the examples in Chapters 1--13 are solvable using this diskette and the commercial package Mathcad which the user must obtain.
Abstract: This is an important book on multicomponent mass transfer, meant for readers already acquainted with the theory of mass transfer and the fundamentals of transport phenomena. Part 1, entitled Molecular Diffusion, contains the following chapters: Preliminary Concepts; The Maxwell-Stefan Relations; Fick's Law; Estimation of Diffusion Coefficients; Solution of multicomponent Diffusion Problems: The Linearized Theory; and Solution of Multicomponent Diffusion Problems: Effective Diffusivity Methods. Part 2, entitled Interphase Transfer, contains the following chapters: Mass-Transfer Coefficients; Film Theory; Unsteady-State Mass-Transfer Models; Mass Transfer in Turbulent Flow; and Simultaneous Mass and Energy Transfer. Part 3, entitled Design, contains the following chapters: Multicomponent Distillation: Mass-Transfer Models; Multicomponent Distillation: Efficiency Models; Multicomponent Distillation: A Nonequilibrium Stage Model; and Condensation of Vapor Mixtures. Appendices are provided on matrix algebra, equation-solving and estimation of a thermodynamic derivative matrix. A computer diskette is provided with the book; the examples in Chapters 1--13 are solvable using this diskette and the commercial package Mathcad which the user must obtain. A separate software package, Chemsep, is needed for some of the exercises in Chapter 14.
2,011 citations
TL;DR: In this paper, the limitations of the Fick's law for describing diffusion are discussed and it is argued that the Maxwell-Stefan formulation provides the most general and convenient approach for describing mass transport which takes proper account of thermodynamic non-idealities and influence of external force fields.
1,515 citations
434 citations
TL;DR: The average deviation of the experimental mole fractions for all runs from those predicted by the Maxwell-Stefan equations was 0.45 mole % as discussed by the authors, which is the smallest deviation known.
Abstract: Equimolal countercurrent diffusions runs were made in a two bulb diffusion cell with the system hydrogen, nitrogen, and carbon dioxide. The initial bulb compositions were chosen so that various types of ternary interactions occurred. These interactions were well-described by the Maxwell-Stefan equations. The average deviation of the experimental mole fractions for all runs from those predicted by the Maxwell-Stefan equations was 0.45 mole %.
161 citations
TL;DR: In this article, the Perron-Frobenius theorem is applied to the irreducible and quasi-positive matrix which governs the flux-force relations and is able to show normal ellipticity of the associated multicomponent diffusion operator.
Abstract: We consider the system of Maxwell-Stefan equations which describe multicomponent diffusive fluxes in non-dilute solutions or gas mixtures. We apply the Perron-Frobenius theorem to the irreducible and quasi-positive matrix which governs the flux-force relations and are able to show normal ellipticity of the associated multicomponent diffusion operator. This provides local-in-time wellposedness of the Maxwell-Stefan multicomponent diffusion system in the isobaric, isothermal case.
144 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 3 |
| 2020 | 6 |
| 2019 | 7 |
| 2018 | 3 |
| 2017 | 11 |
| 2016 | 3 |