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

Md.Ameenuddin1, N. Ch. Pattabhi Ramacharyulu2

1Faculty, Anwarul uloom College Mallepally Hyderabad, A.P. India, 500001

2Former 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