Analysis of laminar flow through a porous channel with velocity slip

B. Ashwini, N. N. Katagi, A. S. Rai

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The present paper analyses the problem of laminar flow in a porous channel with velocity slip using novel Computer Extended Series (CES) and Homotopy Analysis Method (HAM). The semi-numerical scheme described here offer some advantages over solution obtained by using traditional methods such as regular perturbation, shooting method etc. These techniques also reveal the analytic structure of the solution function. The objective is to study the influence of non-zero tangential slip velocity on velocity field and pressure gradient. Domb-Syke plot and h-curves enable us in obtaining the domain and rate of convergence of the series generated, which are further increased by Padé approximants. The solution presented here is valid for much larger Reynolds number for different derived quantities compared with earlier findings by Singh and Laurence (1979).

Original languageEnglish
Pages (from-to)423-439
Number of pages17
JournalMalaysian Journal of Mathematical Sciences
Volume11
Issue number3
Publication statusPublished - 01-09-2017

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Laminar Flow
Slip
Homotopy Analysis Method
Shooting Method
Series
Pressure Gradient
Numerical Scheme
Velocity Field
Reynolds number
Rate of Convergence
Valid
Perturbation
Curve
Influence

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Analysis of laminar flow through a porous channel with velocity slip. / Ashwini, B.; Katagi, N. N.; Rai, A. S.

In: Malaysian Journal of Mathematical Sciences, Vol. 11, No. 3, 01.09.2017, p. 423-439.

Research output: Contribution to journalArticle

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