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Numerical simulation of electrophoresis separation processesA new Petrov-Galerkin finite element formulation has been proposed for transient convection-diffusion problems. Most Petrov-Galerkin formulations take into account the spatial discretization, and the weighting functions so developed give satisfactory solutions for steady state problems. Though these schemes can be used for transient problems, there is scope for improvement. The schemes proposed here, which consider temporal as well as spatial discretization, provide improved solutions. Electrophoresis, which involves the motion of charged entities under the influence of an applied electric field, is governed by equations similiar to those encountered in fluid flow problems, i.e., transient convection-diffusion equations. Test problems are solved in electrophoresis and fluid flow. The results obtained are satisfactory. It is also expected that these schemes, suitably adapted, will improve the numerical solutions of the compressible Euler and the Navier-Stokes equations.
Document ID
19870006654
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Ganjoo, D. K. (Houston Univ. TX, United States)
Tezduyar, T. E. (Houston Univ. TX, United States)
Date Acquired
September 5, 2013
Publication Date
December 22, 1986
Subject Category
Inorganic And Physical Chemistry
Report/Patent Number
NAS 1.26:180124
NASA-CR-180124
Accession Number
87N16087
Funding Number(s)
CONTRACT_GRANT: NAS9-17380
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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