General solution for the Couette flow profile
Author:
- 1 November 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 60 (5) , 6192-6194
Abstract
A general solution for the Couette velocity profile is reported. Taylor’s classical one-dimensional profile is shown to be a special case of this solution for configurations whose aspect ratio is large. Numerical evaluation indicates that error between the two profiles is a logarithmic function of the aspect ratio and provides data to estimate when Taylor’s profile should be replaced with the present solution.Keywords
This publication has 8 references indexed in Scilit:
- Numerical Simulations of Heat Transfer in Taylor-Couette FlowJournal of Heat Transfer, 1998
- Numerical prediction of laminar, transitional and turbulent flows in shrouded rotor-stator systemsPhysics of Fluids, 1997
- Perturbation dynamics in viscous channel flowsJournal of Fluid Mechanics, 1997
- First transitions in circular Couette flow with axial stratificationPhysics of Fluids, 1997
- Notes on the multiplicity of flows in the Taylor experimentJournal of Fluid Mechanics, 1982
- Nonlinear Taylor vortices and their stabilityJournal of Fluid Mechanics, 1981
- Mathematical Analysis of Navier-Stokes Equations for Incompressible LiquidsAnnual Review of Fluid Mechanics, 1975
- VIII. Stability of a viscous liquid contained between two rotating cylindersPhilosophical Transactions of the Royal Society A, 1923