IJPAM: Volume 118, No. 3 (2018)

Title

NUMERICAL STUDY OF MHD FLOW OF A THIRD
GRADE FLUID IN A NON-DARCIAN POROUS CHANNEL

Authors

Mamata Parida$^1$, Sudarsan Padhy$^2$
$^1$Department of Mathematics
Utkal University
Bhubaneswar 751 004, INDIA
$^2$Department of Computer Science
Silicon Institute of Technology
Bhubaneswar 751 024, INDIA

Abstract

This paper aims to study, numerically, the flow and heat transfer of a magnetohydrodynamic third grade fluid in a horizontal porous channel. The flow is induced by a constant pressure gradient along the flow direction and a uniform magnetic field applied in the transverse direction. A modified Darcy resistance term for a third grade fluid is taken in the momentum equation. The governing equations are modelled, discretised by suitable finite difference technique, and solved by damped Newton's method. The effect of various flow parameters on the velocity and temperature profiles is presented in form of graphs and discussed.

History

Received: 2017-09-20
Revised: 2017-11-27
Published: April 13, 2018

AMS Classification, Key Words

AMS Subject Classification: 76Z05, 76W05, 76S05, 80A20
Key Words and Phrases: third-grade fluid, modified Darcy's resistance, Hartmann number, Heat transfer, Wall shear stress

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How to Cite?

DOI: 10.12732/ijpam.v118i3.13 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 3
Pages: 651 - 665


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