Title: Creeping flow with non-uniform viscosity in a permeable industrial conduct

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 Advanced 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 creeping flow occurs through a straight horizontal conduct formed by two coaxial cylinders fixed at different temperatures. The problem is governed by the vorticity equation coupled to the energy equation due to the variation of the dynamic viscosity with temperature. The results about the wall shear stress obtained from the numerical integration reveal the existence of the cusp type bifurcation. Under certain values of control parameters, the suction which manifests itself as the mass withdrawal phenomenon causes important variations of temperature near the walls. Thus, the maxima of thermal gradients are located at the walls. The temperature is almost constant around the centre of the flow region; this behaviour involves in certain circumstances the presence of a large area of inflection in the temperature distribution through the annular conduct. The dominance of flow reversal on wall suction agrees with the behaviour of pressure gradients.

Keywords: porous annular conducts; high viscous fluid flows; axisymmetric flows; temperature-dependent viscosity; similarity method; numerical integration; creeping flow; non-uniform viscosity; permeable industrial conducts; flow reversal; wall suction; pressure gradients; wall shear stress; temperature variations; thermal gradients; coaxial horizontal cylinders.

DOI: 10.1504/IJESMS.2016.077647

International Journal of Engineering Systems Modelling and Simulation, 2016 Vol.8 No.3, pp.183 - 194

Received: 17 Jun 2014
Accepted: 04 Mar 2015

Published online: 12 Jul 2016 *

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