Journal of Korean Society on Water Environment (한국물환경학회지)

Korean Society on Water Environment (한국물환경학회)
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Perturbation Analysis of Stokes Flow in Porous Medium

다공성 매질의 내부유동에 관한 섭동해석

  • Seong, Kwanjae (Dept. of Mechanical Engineering, Dong Guk University)
  • 성관제 (동국대학교 기계공학과)
  • Received : 2005.04.04
  • Accepted : 2005.04.20
  • Published : 2005.07.30
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Abstract

In this study, flow in a porous medium is analyzed using a computer-extended perturbation series solution. The flow is modelled as a creeping flow in a periodically constricted channel. The channel walls have a sinusoidally varying width and the flow is analyzed in terms of its vorticity and stream functions in the Stokes flow regime. The perturbation series in terms of a small parameter, average width to length ratio, is extended with a computer resulting in purely asymptotic series and Pade summation is used to obtain final results. Resulting flow shows flow separations in the widening section and immobile zones in the widest section of the flow regime with reattachment in the narrowing section. Analysis of the flow separation phenomena resulted in a correlation between the two geometric parameters of the channel walls to predict the onset of flow separation in the Stokes flow regime.

Keywords

Acknowledgement

Supported by : 동국대학교

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