Malaysian Journal of Mathematical Sciences, September 2017, Vol. 11, No. 3
Analysis of Laminar Flow through a Porous Channel with Velocity Slip
Ashwini B., Katagi, N. N. and Rai, A. S.
Corresponding Email: nn.katagi@manipal.edu
Received date: 15 December 2016
Accepted date: 15 September 2017
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).
Keywords: Computer Extended Series, Homotopy Analysis Method, Velocity slip coefficient, Domb-Syke plot, h-curve
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