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Dissipation effects in hydrodynamic stability of viscoelastic fluids
Author(s) -
Bonnett W. S.,
McIntire Larry V.
Publication year - 1975
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690210511
Subject(s) - prandtl number , viscoelasticity , brinkman number , couette flow , mechanics , dissipation , weissenberg number , instability , reynolds number , hydrodynamic stability , rheology , wavenumber , stability (learning theory) , physics , classical mechanics , flow (mathematics) , thermodynamics , mathematics , heat transfer , nusselt number , optics , turbulence , machine learning , computer science
In this paper an analysis is made of the hydrodynamic stability of a Boussinesq viscoelastic fluid undergoing plane Couette flow with a superposed temperature gradient. Of special interest is the effect of including the dissipation term in the energy equation. This term is shown to destabilize the fluid for most values of disturbance wave number and material parameters and to cause overstability for all values of the Brinkman number. At a critical Weissenberg number of 1, a rheological instability is developed which is essentially independent of the Reynolds, Prandtl, and Brinkman numbers.