**InternationaleJournals**

**Steady flow of a Second order
Visco-elastic fluid through a porous medium between two fixed Horizontal
Permeable Plates**

**Md.Ameenuddin ^{1},
N. Ch. Pattabhi Ramacharyulu^{2}**

** ^{1}**Faculty, Anwarul uloom College Mallepally Hyderabad, A.P. India, 500001

** ^{2}**Former faculty, National Institute of Technology(R.E.C)
Warangal A.P. India 506004, Email: madaniameen@hotmail.com

**Abstract**

The present paper studies about the Steady flow of a Noll’s [8] second order visco-elastic fluid through a porous medium between two fixed horizontal permeable plates. The flow through the porous medium satisfies the general momentum equation proposed by Yama Moto and Yoshida [15] and the bounding plates are permeable allowing equal suction and injection through them. Galerkin’s approximation technique has been adopted to obtain an approximate solution of the ill-posed problem. The velocity field is obtained approximately from which the flow rate, mean velocity in the channel and the drag forces on the two bounding plates are estimated. The conclusions are drawn based upon the graphical illustrations.

**Key words:** Steady flow, Visco-Elastic fluid, Reynold’s
number, porous medium, permeable plates, Galerkin’s technique.

**International
eJournal of Mathematics and Engineering**

**Volume 3,
Issue ****2,** **Pages: 1448 - 1457**