MHD FLOW OF A SECOND ORDER FLUID THROUGH POROUS MEDIUM

 

1.      NARASIMHA CHARYULU.V, 2. SUNDER RAM.M.

1. Department of Mathematics, Kakatiya Institute of Technology & Sciences, Warangal, Andhra Pradesh, India.

2. Department of Mathematics, Chaitanya Degree & PG College (Autonomous), Warangal - 506001, Andhra Pradesh, India.

Email: msr70@rediffmail.com, msram70@gmail.com

 

Abstract

 

The flow of a second order non-Newtonian fluid under the transverse magnetic field is considered in the presence of an oscillatory pressure gradient, through porous medium contained in an elliptic tube.

 

The effect of the permeability coefficient of the medium, the effect of the magnetic parameter and that of the oscillatory frequency are examined.

 

The flow of the classical Newtonian flow through elliptic tube and the flow of Newtonian flow through porous medium in elliptic tube and the flow through circular tube are deduced. The Darcian effect is seen in the core of the region near to the axis of the tube. The non-Darcian effect is seen near the boundary of the tube.

2000 AMS Mathematics subject classifications: 76 D, 76 S.

 

Key Words: Porous medium, Darcian flow elliptic tube, Mathiew functions.

 

 

International eJournal of Mathematics and Engineering

Volume 1, Issue 1, Pages 48-59