Stability of rotational couette flow of polymer solutions
β Scribed by Zu-Shung Sun; Morton M. Denn
- Publisher
- American Institute of Chemical Engineers
- Year
- 1972
- Tongue
- English
- Weight
- 610 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0001-1541
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β¦ Synopsis
Abstract
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.
π SIMILAR VOLUMES
The perturbation equations which characterize the stability of flow over a rotating infinite disk are derived via strict order of magnitude analysis. These equations contain viscous terms not considered by Stuart,' curvature and Coriolis terms not considered by Brown? and axial velocity terms not co
A new numerical procedure for predicting multiple solutions of Taylor vortices in a spherical gap is presented. The steady incompressible Navier-Stokes equations in primitive variables are solved by a finitedifference method using a matrix preconditioning technique. Routes leading to multiple flow s