Accession Number:

ADA167927

Title:

Linear Stability of Plane Couette Flow of an Upper Convected Maxwell Fluid.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1986-02-01

Pagination or Media Count:

14.0

Abstract:

This document investigate the linear stability of plane Couette flow of an upper convected Maxwell fluid using a spectral method to compute the eigenvalues. No instabilities are found. This is in agreement with the results of Ho and Denn and Lee and Finlayson, but contradicts proofs of instability given by Gorodtsov and Leonov and Akbay and Frischmann. The errors in those arguments are pointed out. The authors also find that the numerical discretization can generate artificial instabilities. The qualitative behavior of the eigenvalue spectrum as well as the artificial instabilities is discussed. Keywords Parallel shear flow and Shear stresses.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE