Stability of plane poiseuille and couette flow of a Maxwell fluid
Journal
Journal of Non-Newtonian Fluid Mechanics
Journal Volume
21
Journal Issue
1
Pages
65-78
Date Issued
1986
Author(s)
Abstract
The classical Orr-Sommerfeld analysis is extended to a Maxwell fluid in fully developed Poiseuille flow between two flat plates and Couette flow between two flat plates. For the Poiseuille flow problem eigenmodes that are anti-symmetric in position are considered to augment the literature results for the symmetric eigenmodes. A shooting method with a stiff integrator, orthonormalization, and Newton-Raphson iterations on the eigenvalue are used to find the eigenvalues. The most dangerous mode is the anti-symmetric one, and both symmetric and anti-symmetric modes are more dangerous when the wave number and the Weissenberg number are large. No unstable eigenvalues are found. © 1986.
SDGs
Type
journal article