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Hydrodynamic stability of viscoelastic fluids: Importance of fluid model, overstability, and form of disturbance
Author(s) -
McIntire L. V.,
Schowalter W. R.
Publication year - 1972
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.690180119
Subject(s) - couette flow , mechanics , viscoelasticity , flow (mathematics) , stability (learning theory) , plane (geometry) , transverse plane , fluid dynamics , disturbance (geology) , physics , thermodynamics , mathematics , geology , engineering , computer science , geometry , paleontology , structural engineering , machine learning
A linearized stability analysis has been applied to a fluid flowing in a gravity field between horizontal planes in Couette flow under conditons such that the temperature of the bottom plane exceeds that of the top. It is shown that, under conditions likely to be encountered with polymer solutions, oscillatory instabilities will not be controlling. Criteria are offered for ascertaining when an analysis based upon a second‐order fluid model may be expected to yield physically meaningful results. It is also shown that for the fluid model considered, critical conditions for stability are not changed when disturbances which vary in the flow direction are substituted for those which are a function of the coordinate transverse to the flow.