A new formulation for numerical simulation of electrophoresis separation processes

D. K. Ganjoo; T. E. Tezduyar; W. D. Goodrich

doi:10.1016/0045-7825(89)90045-5

A new formulation for numerical simulation of electrophoresis separation processes

D. K. Ganjoo^*, T. E. Tezduyar, W. D. Goodrich

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

A new numerical simulation model for electrophoresis separation phenomena is presented. The proposed model employs a Petrov-Galerkin scheme to solve for the concentrations, the electric potential and its gradient via a mixed finite element formulation. This formulation does not involve any restrictions on the electric current density or the finite element mesh. The scheme is stable, accurate, and can be applied to intricate geometries in higher space dimensions without loss of generality. Moreover this formulation avoids the usage of higher order elements which can be expensive. Example simulations are performed in one and two space dimensions. The one-dimensional results closely agree with those from past publications. The success of the simulations in two dimensions indicates the potential of the scheme to address design strategies in practical separation techniques.

Original language	English
Pages (from-to)	515-530
Number of pages	16
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	75
Issue number	1-3
DOIs	https://doi.org/10.1016/0045-7825(89)90045-5
Publication status	Published - 1989 Oct
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/0045-7825(89)90045-5

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abstract = "A new numerical simulation model for electrophoresis separation phenomena is presented. The proposed model employs a Petrov-Galerkin scheme to solve for the concentrations, the electric potential and its gradient via a mixed finite element formulation. This formulation does not involve any restrictions on the electric current density or the finite element mesh. The scheme is stable, accurate, and can be applied to intricate geometries in higher space dimensions without loss of generality. Moreover this formulation avoids the usage of higher order elements which can be expensive. Example simulations are performed in one and two space dimensions. The one-dimensional results closely agree with those from past publications. The success of the simulations in two dimensions indicates the potential of the scheme to address design strategies in practical separation techniques.",

author = "Ganjoo, {D. K.} and Tezduyar, {T. E.} and Goodrich, {W. D.}",

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T1 - A new formulation for numerical simulation of electrophoresis separation processes

AU - Ganjoo, D. K.

AU - Tezduyar, T. E.

AU - Goodrich, W. D.

PY - 1989/10

Y1 - 1989/10

N2 - A new numerical simulation model for electrophoresis separation phenomena is presented. The proposed model employs a Petrov-Galerkin scheme to solve for the concentrations, the electric potential and its gradient via a mixed finite element formulation. This formulation does not involve any restrictions on the electric current density or the finite element mesh. The scheme is stable, accurate, and can be applied to intricate geometries in higher space dimensions without loss of generality. Moreover this formulation avoids the usage of higher order elements which can be expensive. Example simulations are performed in one and two space dimensions. The one-dimensional results closely agree with those from past publications. The success of the simulations in two dimensions indicates the potential of the scheme to address design strategies in practical separation techniques.

AB - A new numerical simulation model for electrophoresis separation phenomena is presented. The proposed model employs a Petrov-Galerkin scheme to solve for the concentrations, the electric potential and its gradient via a mixed finite element formulation. This formulation does not involve any restrictions on the electric current density or the finite element mesh. The scheme is stable, accurate, and can be applied to intricate geometries in higher space dimensions without loss of generality. Moreover this formulation avoids the usage of higher order elements which can be expensive. Example simulations are performed in one and two space dimensions. The one-dimensional results closely agree with those from past publications. The success of the simulations in two dimensions indicates the potential of the scheme to address design strategies in practical separation techniques.

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A new formulation for numerical simulation of electrophoresis separation processes

Abstract

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