Numerical predictions for laminar source-sink flow in a rotating cylindrical cavity

Author:

Chew J. W.,Owen J. M.,Pincombe J. R.

Abstract

Numerical solutions are presented for steady, axisymmetric, laminar, isothermal, source–sink flow in a rotating cylindrical cavity. These results, which are in good agreement with previously published experimental work, have been used to give a fresh insight into the nature of the flow and to investigate the validity of other theoretical solutions. When the fluid enters the cavity through a central uniform radial source and leaves through an outer sink, it is shown that the flow near the disks can be approximated by two known analytical solutions. If the radial source is replaced by an axial inlet the flow becomes more complex, with a wall jet forming on the downstream disk at sufficiently high flow rates.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference14 articles.

1. Owen, J. M. & Pincombe, J. R. 1980 Velocity measurements inside a rotating cylindrical cavity with a radial outflow of fluid.J. Fluid Mech. 99,111.

2. Chew, J. W. 1984 Development of a computer program for the prediction of flow in a rotating cavity.Intl J. Num. Methods Fluids (to be published).

3. Bennetts, D. A. & Jackson, W. D. N. 1974 Source—sink flows in a rotating annulus: a combined laboratory and numerical study.J. Fluid Mech. 66,689.

4. Owen, J. M. & Rogers, R. H. 1983 Solution of the integral momentum equations for an Ekman layer in a heated rotating cavity. Part 1: The full equations and the linear approximation.School of Engng and Appl. Sci., Univ. Sussex, Rep. TFMRC/15a.

5. Hide, R. 1968 On source—sink flows in a rotating fluid.J. Fluid Mech. 32,737.

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