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Stability of rotational couette flow of polymer solutions
Author(s) -
Sun ZuShung,
Denn Morton M.
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.690180519
Subject(s) - taylor–couette flow , flow (mathematics) , couette flow , nonlinear system , mechanics , taylor number , vortex , linear stability , thermodynamics , stability (learning theory) , materials science , classical mechanics , physics , mathematics , instability , quantum mechanics , machine learning , computer science
The onset of secondary flow between rotating cylinders (Taylor vortices) was observed for a dilute polymer solution whose viscometric flow properties were characterized rheogoniometrically. The critical Taylor number (flow onset) was predicted accurately by linear stability theory with a stress constitutive equation describing viscometric behavior. The cell spacing differed significantly from that predicted by linear theory. A nonlinear analysis shows that Linear theory will predict the ultimate cell size only for an inelastic liquid. For an elastic liquid a larger wave number (closer spacing) is a lower energy configuration than the linear theory spacing. This is consistent with experiment.