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The round laminar jet in a spherical envelope

Published online by Cambridge University Press:  19 April 2006

W. M. Pickering  and
C. Sozou
W. M. Pickering
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield, England
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield, England
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Abstract

A nonlinear solution is constructed representing the steady flow field generated in viscous incompressible fluid in a spherical envelope by a constant point force F0 acting at the centre O of the envelope. Our analysis shows that when F0 = O(3ν2ρ), where v is the coefficient of kinematic viscosity and ρ the density of the fluid, the linear solution, which is symmetric about a plane through O perpendicular to the force, represents a reasonable approximation to the velocity field. As F0 increases the velocity field develops an asymmetry and the centre of the eddy, that exists in a meridian section, is displaced towards the direction of the force and is closer to the boundary. Also as F0 increases, on the axis of symmetry, the fluid speed per unit force decreases behind the force and increases ahead of it and percentage-wise the increase is larger further from O.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 94 , Issue 1 , 11 September 1979 , pp. 1 - 12
Copyright
© 1979 Cambridge University Press

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References

Batchelor, G. K. 1967 Introduction to Fluid Dynamics. Cambridge University Press.
Blake, J. R. 1971 Proc. Camb. Phil. Soc. 70, 303.
Lamb, H. 1962 Hydrodynamics. Cambridge University Press.
Le Bail, R. C. 1972 J. Comp. Phys. 9, 440.
Lighthill, M. J. 1976 SIAM Review 18, 161.
Lighthill, M. J. 1978 Waves in Fluids. Cambridge University Press.
Liron, N. & Shahar, R. 1978 J. Fluid Mech. 86, 729.
Sozou, C. 1971 J. Plasma Phys. 6, 331.
Sozou, C. & Pickering, W. M. 1976 J. Fluid Mech. 73, 641.
Sozou, C. & Pickering, W. M. 1977 J. Fluid Mech. 80, 673.
Squire, H. B. 1952 Phil. Mag. 43 (HY6), 942.