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Perturbation Analysis of Stokes Flow in Porous Medium  

Seong, Kwanjae (Dept. of Mechanical Engineering, Dong Guk University)
Publication Information
Journal of Korean Society on Water Environment / v.21, no.4, 2005 , pp. 393-397 More about this Journal
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
Immobile zone; Perturbation analysis; Pade summation; Porous medium; Slow-variations; Stokes flow;
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