Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit
Articles
R. Bhargava
Indian Institute of Technology, India
H. S. S. Takhar
Manchester Metropolitan University, UK
S. Rawat
Indian Institute of Technology, India
Tasveer A. A. Bég
Engineering Mechanics and Earthquake Dynamics Research, UK
O. Anwar Anwar Bég
Leeds Metropolitan University, UK
Published 2007-07-25
https://doi.org/10.15388/NA.2007.12.3.14690
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Keywords

hydromechanics
pulsatile
rheological
non-Darcian porous medium
finite element solution
Reynolds number

How to Cite

Bhargava, R. (2007) “Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit”, Nonlinear Analysis: Modelling and Control, 12(3), pp. 317–327. doi:10.15388/NA.2007.12.3.14690.

Abstract

The present analysis is motivated by the need to elucidate with more accuracy and sophistication the hydrodynamics of non-Newtonian flow via a channel containing a porous material under pulsating pressure gradient. A one-dimensional transient rheological model for pulsating flow through a Darcy-Forcheimmer porous channel is used. A modified Casson non-Newtonian constitutive model is employed for the transport fluid with a drag force formulation for the porous body force effects. The model is transformed and solved using a finite element numerical technique. Rheological effects are examined using a β parameter which vanishes in the limit (Newtonian flow). Velocity profiles are plotted for studying the influence of Reynolds number, Darcy number, Forchheimer number and the β (non-Newtonian) parameter. The channel considered is rigid with a pulsatile pressure applied via an appropriate pressure gradient term. The model finds applications in industrial filtration systems, pumping of polymeric fluids etc.

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