Study of non-Fickian diffusion problems with the potential field in the cylindrical co-ordinate system

Han-Taw Chen, Kuo Chi Liu

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The present study applies a hybrid numerical scheme of the Laplace transform technique and the control volume method in conjunction with the hyperbolic shape functions to investigate the effect of a potential field on the one-dimensional non-Fickian diffusion problems in the cylindrical co-ordinate system. The Laplace transform method is used to remove the time-dependent terms in the governing differential equation and the boundary conditions, and then the resulting equations are discretized by the control volume scheme. The primary difficulty in dealing with the present problem is the suppression of numerical oscillations in the vicinity of sharp discontinuities. Results show that the present numerical results do not exhibit numerical oscillations and the potential field plays an important role in the present problem. The strength of the jump discontinuity can be reduced by increasing the value of the potential gradient. The propagation speed of mass wave is independent of the potential gradient and the boundary condition.

Original languageEnglish
Pages (from-to)637-651
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume57
Issue number5
DOIs
Publication statusPublished - 2003 Jun 7

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Control Volume
Potential Field
Diffusion Problem
Laplace transforms
Laplace transform
Discontinuity
Boundary conditions
Oscillation
Gradient
Propagation Speed
Hyperbolic function
Shape Function
Numerical Scheme
Governing equation
Jump
Differential equations
Differential equation
Numerical Results
Term

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

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Study of non-Fickian diffusion problems with the potential field in the cylindrical co-ordinate system. / Chen, Han-Taw; Liu, Kuo Chi.

In: International Journal for Numerical Methods in Engineering, Vol. 57, No. 5, 07.06.2003, p. 637-651.

Research output: Contribution to journalArticle

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