Derivation and application of the Stefan-Maxwell equations

The Stefan-Maxwell equations represent a special form of the species momentum equations that are used to determine species velocities. These species velocities appear in the species continuity equations that are used to predict species concentrations. These concentrations are required, in conjunction with concepts from thermodynamics and chemical kinetics, to calculate rates of adsorption/desorption, rates of interfacial mass transfer, and rates of chemical reaction. These processes are central issues in the discipline of chemical engineering. In this paper we first outline a derivation of the species momentum equations and indicate how they simplify to the Stefan-Maxwell equations. We then examine three important forms of the species continuity equation in terms of three different diffusive fluxes that are obtained from the Stefan-Maxwell equations. Next we examine the structure of the species continuity equations for binary systems and then we examine some special forms associated with N-component systems. Finally the general N-component system is analyzed using the mixed-mode diffusive flux and matrix methods.

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Main Author: Whitaker,Stephen
Format: Digital revista
Language:English
Published: Universidad Autónoma Metropolitana, División de Ciencias Básicas e Ingeniería 2009
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-27382009000300001
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spelling oai:scielo:S1665-273820090003000012010-12-07Derivation and application of the Stefan-Maxwell equationsWhitaker,Stephen continuum mechanics kinetic theory multicomponent diffusion The Stefan-Maxwell equations represent a special form of the species momentum equations that are used to determine species velocities. These species velocities appear in the species continuity equations that are used to predict species concentrations. These concentrations are required, in conjunction with concepts from thermodynamics and chemical kinetics, to calculate rates of adsorption/desorption, rates of interfacial mass transfer, and rates of chemical reaction. These processes are central issues in the discipline of chemical engineering. In this paper we first outline a derivation of the species momentum equations and indicate how they simplify to the Stefan-Maxwell equations. We then examine three important forms of the species continuity equation in terms of three different diffusive fluxes that are obtained from the Stefan-Maxwell equations. Next we examine the structure of the species continuity equations for binary systems and then we examine some special forms associated with N-component systems. Finally the general N-component system is analyzed using the mixed-mode diffusive flux and matrix methods.info:eu-repo/semantics/openAccessUniversidad Autónoma Metropolitana, División de Ciencias Básicas e IngenieríaRevista mexicana de ingeniería química v.8 n.3 20092009-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-27382009000300001en
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language English
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author Whitaker,Stephen
spellingShingle Whitaker,Stephen
Derivation and application of the Stefan-Maxwell equations
author_facet Whitaker,Stephen
author_sort Whitaker,Stephen
title Derivation and application of the Stefan-Maxwell equations
title_short Derivation and application of the Stefan-Maxwell equations
title_full Derivation and application of the Stefan-Maxwell equations
title_fullStr Derivation and application of the Stefan-Maxwell equations
title_full_unstemmed Derivation and application of the Stefan-Maxwell equations
title_sort derivation and application of the stefan-maxwell equations
description The Stefan-Maxwell equations represent a special form of the species momentum equations that are used to determine species velocities. These species velocities appear in the species continuity equations that are used to predict species concentrations. These concentrations are required, in conjunction with concepts from thermodynamics and chemical kinetics, to calculate rates of adsorption/desorption, rates of interfacial mass transfer, and rates of chemical reaction. These processes are central issues in the discipline of chemical engineering. In this paper we first outline a derivation of the species momentum equations and indicate how they simplify to the Stefan-Maxwell equations. We then examine three important forms of the species continuity equation in terms of three different diffusive fluxes that are obtained from the Stefan-Maxwell equations. Next we examine the structure of the species continuity equations for binary systems and then we examine some special forms associated with N-component systems. Finally the general N-component system is analyzed using the mixed-mode diffusive flux and matrix methods.
publisher Universidad Autónoma Metropolitana, División de Ciencias Básicas e Ingeniería
publishDate 2009
url http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1665-27382009000300001
work_keys_str_mv AT whitakerstephen derivationandapplicationofthestefanmaxwellequations
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