International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 9, Pages 617-625
doi:10.1155/S0161171200002040
Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid
R.N. Ray
, A. Samad
and T.K. Chaudhury
Department of Mathematics, University of Burdwan, Burdwan 713104, West Bengal, India
Abstract
The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found that viscoelastic parameters have destabilizing effect and magnetic field has a stabilizing effect in the field of flow. But no instabilities are found.