Title: Numerical investigation of high viscous fluid flow between two porous plates using the shooting technique

Authors: Jacques Hona; Elisabeth Ngo Nyobe; Elkana Pemha

Addresses: Applied Mechanics Laboratory, Faculty of Science, University of Yaoundé I, P.O. Box 7389 Yaoundé, Cameroon ' Department of Mathematics and Physical Science, National Advance School of Engineering, University of Yaoundé I, P.O. Box 8390 Yaoundé, Cameroon ' Applied Mechanics Laboratory, Faculty of Science, University of Yaoundé I, P.O. Box 7389 Yaoundé, Cameroon

Abstract: The horizontal channel consists of two parallel rigid plates. These plates are uniformly porous and fixed at different temperatures. The problem is modelled by means of the Navier-Stokes equations and the energy equation. The similarity technique leads to introduce the stream function in the governing equations. The investigation is then reduced to solve a non-linear two-point boundary-value problem with six boundary conditions by applying a numerical strategy based on the shooting method. The numerical results show that the temperature distribution presents a large area of inflection through the channel under certain values of control parameters. The maxima of thermal gradients are located at the walls due to suction. The high viscosity of the fluid is favourable to the existence of the reverse flow and is adverse to suction. For a given Reynolds number, the normal pressure gradient is very sensitive to the temperature difference between the walls.

Keywords: porous rectangular channels; creeping flow; non-uniform viscosity; similarity solutions; nonlinear two-point boundary value problem; numerical shooting; viscous fluid flow; porous plates; modelling; reverse flow; suction; temperature difference.

DOI: 10.1504/IJESMS.2015.070110

International Journal of Engineering Systems Modelling and Simulation, 2015 Vol.7 No.3, pp.192 - 201

Received: 28 Mar 2014
Accepted: 26 Apr 2014

Published online: 21 Mar 2015 *

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