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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v37.i3.50
pages 267-281

Analysis of Laminar Flow in a Channel with One Porous Bounding Wall

Nagendrappa Bujurke
Karnatak University
Nagaraj N. Katagi
Department of Mathematics, Manipal Institute of Technology, Manipal University, India
V. B. Awati
Department of Mathematics, Government Fist Grade College, K. R. Puram, Bangalore-560036, India

ABSTRACT

Computer extended series solution is used to analyze the problem of laminar flow in a channel with one porous bounding wall. The objective is to study the effect of non-zero tangential slip velocity on the velocity field, pressure gradient and mass transfer. The problem is also studied using power series method in conjunction with an unconstrained optimization procedure. The domain and rate of convergence of the series so generated are further increased by Padé approximants. The coupled diffusion equation in the boundary layer is solved using a finite difference scheme. The solution presented here is valid for much larger Reynolds number compared with earlier investigation.


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