Finite element modelling of transpiring third-grade viscoelastic biotechnological fluid flow in a Darcian permeable half-space

BEG, Osman, RAWAT, S., BHARGAVA, R. and TASVEER, A. (2011). Finite element modelling of transpiring third-grade viscoelastic biotechnological fluid flow in a Darcian permeable half-space. International Journal of Applied Mathematics and Mechanics, 7 (3), 38-52.

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Abstract

A numerical solution has been developed using finite elements for the steady laminar flow of an incompressible, third grade, non-Newtonian fluid past an infinite porous plate in a Darcian porous medium. A number of special cases are examined for the governing nonlinear differential equation. Bon-dimensional velocity and velocity gradient functions are plotted graphically for variation in permeability (k), third grade viscoelastic material parameter (ß3), and suction effect (Vo). It is shown that increasing permeability boosts the velocities, as this corresponds to an increasingly fluid (i.e. progressively more porous) regime. The third grade material parameter is also seen to substantially increase the velocities in the direction normal to the plate surface. The flow scenario finds applications in extrusion of plastics, biotechnology and non-Newtonian chemical materials processing.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Related URLs:	Publisher
Depositing User:	Helen Garner
Date Deposited:	14 Sep 2011 15:36
Last Modified:	14 Sep 2011 15:36
URI:	http://shura.shu.ac.uk/id/eprint/3884

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