Numerical studies of “side-by-side” and other modes for the Taylor problem in a finite annulus (original) (raw)

Hill, N,A. ORCID: https://orcid.org/0000-0003-3079-828X(1988) Numerical studies of “side-by-side” and other modes for the Taylor problem in a finite annulus.Computers and Fluids, 16(4), pp. 445-458. (doi: 10.1016/0045-7930(88)90027-8)

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Publisher's URL: http://dx.doi.org/10.1016/0045-7930(88)90027-8

Abstract

A numerical scheme for solving the Navier-Stokes equations for axisymmetric flow in a Couette apparatus is presented. It is time-dependent, and uses primitive variables with finite-differencing on a stretched, staggered grid. The model gives good agreement with the experiments. Anomalous modes have been found and are initially established by a technique in which Schaeffer's [1] end-wall boundary conditions are used to set up a steady state, and then the boundary conditions are gradually changed to those of the finite-length, Taylor apparatus. When both the inner and outer walls of the annulus rotate, a new class of “side-by-side” modes is predicted.

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