Numerical solution of a multi-component species transport problem combining diffusion and fluid flow as engineering benchmark

We propose a multi-component species transport benchmark which combines diffusion and fluid flow. By using identical species input volume rates per minute into a test geometry and in absence of chemical reactions, the species mass fractions are known analytically exact after complete mixing, which p...

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Bibliographic Details
Published inInternational journal of heat and mass transfer Vol. 53; no. 1; pp. 231 - 240
Main Author Böttcher, Klaus
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 15.01.2010
Elsevier
Subjects
Cross-disciplinary physics: materials science; rheology
Exact sciences and technology
Finite-element-method
Growth from vapor
Materials science
Methods of crystal growth; physics of crystal growth
Multi-component diffusion
Physics
Physics of gases
Physics of gases, plasmas and electric discharges
Stefan-Maxwell equation
Viscosity, diffusion and thermal conductivity
Finite-element-method
Multi-component diffusion
Stefan-Maxwell equation
Finite element method
Transport equation
Multicomponent mixture
Digital simulation
Modelling
Crystal growth from vapors
Diffusion coefficient
Gas mixtures
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Summary:We propose a multi-component species transport benchmark which combines diffusion and fluid flow. By using identical species input volume rates per minute into a test geometry and in absence of chemical reactions, the species mass fractions are known analytically exact after complete mixing, which permits to evaluate the absolute numerical error of the diffusion computation. It is demonstrated that the absolute error of the mass fractions is reduced quadratically with decreasing the element size of the grid. The finite-element-method is applied for solving the system of equations.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2009.09.038