A Contribution to the Taylor-Couette Flow Problem

The main purpose of this paper is to present some analytical solutions for the Taylor-Couette flow problem of vortex-cell formation in the gap bounded by two concentric rotating circular cylinders of finite length. The solutions are obtained by using the basic equations of the mechanical part of the...

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical and physical sciences Mathematical and physical sciences, 1992-11, Vol.439 (1906), p.227-245
Main Authors: Green, Albert Edward, Naghdi, P. M.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Constitutive equations
Cylinders
Exact sciences and technology
Experimental results
Integers
Physics
Reynolds number
Sine function
Steady flows
Velocity
Velocity vector
Viscosity
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Summary:The main purpose of this paper is to present some analytical solutions for the Taylor-Couette flow problem of vortex-cell formation in the gap bounded by two concentric rotating circular cylinders of finite length. The solutions are obtained by using the basic equations of the mechanical part of the theory of a Cosserat point with any number of directors, the general thermomechanical formulation of which has been given recently by Green & Naghdi (Q. Jl Mech. appl. Math 44, 335-355 (1991)). Several special solutions are given for a particular cylinder geometry and Reynolds number of flow to compare with the experimental results of Benjamin & Mullin (J. Fluid Mech. A 121, 219-230 (1982)). Flow stability and other possible types of solutions are also briefly discussed.
ISSN:1364-5021
0962-8444
1471-2946
2053-9177
DOI:10.1098/rspa.1992.0146