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Numerical experiments on time-dependent rotational Couette flow

Published online by Cambridge University Press:  29 March 2006

D. C. S. Liu  and
C. F. Chen
D. C. S. Liu
Affiliation:
TRW Systems Group, Redondo Beach, California
C. F. Chen
Affiliation:
Department of Mechanical and Aerospace Engineering, Rutgers University, New Brunswick, N.J.
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Abstract

The flow induced by impulsively starting the inner cylinder in a Couette flow apparatus is investigated by using a nonlinear analysis. Explicit finite-difference approximations are used to solve the Navier–Stokes equations for axisymmetric flows. Random small perturbations are distributed initially and periodic boundary conditions are applied in the axial direction over a length which, in general, is chosen to be the critical wavelength observed experimentally. Simultaneous occurrence of Taylor vortices is obtained at supercritical Reynolds numbers. The development of streamlines, perturbation velocity components and the kinetic energy of the perturbations is examined in detail. Many salient features of the physical flow are observed in the numerical experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 1 , 5 June 1973 , pp. 77 - 95
Copyright
© 1973 Cambridge University Press

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References

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