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

Hill, N.,A. (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)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Hill, Professor Nicholas
• Authors: Hill, N.,A.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Computers and Fluids
• Journal Abbr.: Comput. Fluids
• Publisher: Elsevier
• ISSN: 0045-7930
• ISSN (Online): 1879-0747