Asymmetric flow between parallel rotating disks

Author:

Lai C.-Y.,Rajagopal K. R.,Szeri A. Z.

Abstract

Flows occurring between parallel rotating disks have recently been generalized by Parter & Rajagopal (1984) to include solutions that are not axisymmetric. They prove existence, whereas in the present paper we report, for the first time, numerical results for two cases: (i) rotation about a common axis, and (ii) rotation about distinct axes. Calculations were performed for two values of the Ekman number E = v/d2ω at the relative disk rotations of s = 0·8, s = 0 and s = −0·25, where s = ω21.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference27 articles.

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2. Holodniok, M. , Kubíček, M. & Hlav´ček, V. 1981 Computation of the flow between two rotating coaxial disks: multiplicity of steady-state solutions.J. Fluid Mech. 108,227–240.

3. Batchelor, G. K. 1951 Note on a class of solutions of the Navier-Stokes equations representing rotationally symmetric flow.Q. J. Appl. Maths 4,29–41.

4. Rajagopal, K. R. 1982 On the flow of a simple fluid in an orthogonal rheometer.Arch. Rat. Mech. Anal. 79,29–47.

5. Nguyen, N. D. , Ribault, J. P. & Florent, P. 1975 Multiple solutions for flow between coaxial disks.J. Fluid Mech. 68,369–388.

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