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Numerical computation of Taylor vortices

Published online by Cambridge University Press:  12 April 2006

A. K. Majumdar  and
D. Brian Spalding
A. K. Majumdar
Affiliation:
Department of Mechanical Engineering, Imperial College, London
D. Brian Spalding
Affiliation:
Department of Mechanical Engineering, Imperial College, London
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Abstract

A finite-difference procedure for three-dimensional parabolic flows is used to predict the development of Taylor vortices in the flow between concentric rotating cylinders, resulting from the growth of small disturbances of a Couette flow. Predictions of such flows are presented in the developing and fully developed region. A precise calculation of the wavelength of the vortices has been possible by employing a periodic boundary condition on the pressure field. The predicted torque coefficient compares well with experimental data. The critical Taylor number has also been predicted with good accuracy.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 81 , Issue 2 , 24 June 1977 , pp. 295 - 304
Copyright
© 1977 Cambridge University Press

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References

Coles, D. 1965 J. Fluid Mech. 22, 385.
Couette, M. 1890 Ann. Chim. Phys. (6), 21, 433.
Davey, A. 1962 J. Fluid Mech. 14, 336.
Diprima, R. C. & Stuart, J. T. 1972 J. Fluid Mech. 54, 393.
Diprima, R. C. & Stuart, J. T. 1975 J. Fluid Mech. 67, 86.
Mallock, A. 1888 Proc. Roy. Soc. A 45, 126.
Meyer, K. A. 1966 Los Alamos Sci. Lab. Rep. LA-3497.
Patankar, S. V. & Spalding, D. B. 1972 Int. J. Heat Mass Transfer 15, 1787.
Rayleigh, Lord 1916 Proc. Roy. Soc. A 93, 148.
Stuart, J. T. 1958 J. Fluid Mech. 4, 1.
Taylor, G. I. 1923 Phil. Trans. A 223, 289.
Taylor, G. I. 1935 Proc. Roy. Soc. A 151, 494.
Taylor, G. I. 1936 Proc. Roy. Soc. A 157, 546.