**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,

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.

Volume 1, Issue 1, Pages 48-59