Abstract
Coriolis force and centrifugal force acting on flow induce longitudinal vortices in the main direction of the base flow. They couple either to give rise to oscillatory modes or to stabilize the flow when one of the forces is dominant with respect to the other. A comparative description of rotation and curvature effects is performed using the generalized Rayleigh criterion and linear stability theory.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford Uiversity Press, 1961
P.G. Drazin and W.H. Reid, Hydrodynamic Stability, Cambridge University Press, 1981
H. Gör tier, ‘On the three-dimensional instability of laminar boundary layers on concave walls’, NACA Technical Memorandum 1375 (1954)
I. Mutabazi and J. E. Wesfreid, ‘Spatio-temporal properties of centrifugal instabilities’, in E. Tirapegui and W. Zeller (eds.), Instabilities and Nonequilibrium Structures III, 201–216, Kluwer Academic Publishers, Dordrecht (1991)
D.K. Lezius and J.P. Johnston, ‘Roll cell instabilities in rotating laminar and turbulent channel flows’, J. Fluid Mech. 77, 153 (1976)
R. Wolkind and R.C. DiPrima, ‘Effects of a Coriolis force on the stability of plane Poiseuille flow’, Phys. Fluids 16, 2045 (1973)
R.J. Wienner, P.W. Hammer, C.E. Swanson and R.J. Donnelly, ‘Stability of Tayor-Couette flow subjected to external rotation’, Phys. Rev. Lett. 64, 1115 (1990)
L. Ning, M. Tveirtereid, G. Ahlers and D.S. Cannel, Taylor Couette flow subjected to external rotation’, Phys. Rev. A 44, 2505 (1991)
L. Landau and E. Lifshitz, Mécanique des Fluides, éditions MIR, Moscou (1990)
M. Lesieur, Turbulence in Fluids, Kluwer Academic Publisher, Dordrecht (1990)
I. Mutabazi, C. Normand and J.E. Wesfreid, ‘Gap size effects on centrifugally and rotationally driven instabilities’, Phys. Fluids A 4, 1199 (1992)
C.D. Andereck, S.S. Liu and H.L. Swinney, ‘How regimes in circular Couette system with independently rotating cylinders’, J. Fluid Mech. 164, 155 (1986)
I. Mutabazi, J.J. Hegseth, C.D. Andereck and J.E. Wesfreid, ‘Pattern formation in the flow between two horizontal coaxial cylinders with a partially fille gap’, Phys. Rev. A 38, 4752 (1988)
B.J. Bayly, ‘Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows’, Phys. Fluids 31(1), 56–64 (1988)
O.J. E. Matsson and P.H. Alfredsson, ‘Curvature and rotation-induced instabilities in channel flow’, J. Fluid Mech. 210, 537 (1990)
I. Mutabazi, C. Normand, H. Peerhossaini and J.E. Wesfreid, ‘Oscillatory modes in the flow between two horizontal coaxial cylinders with a partially filled gap’, Phys. Rev. A 39, 763 (1989)
A. Aouidef, J.E. Wesfreid and I. Mutabazi, ‘Coriolis effects on Taylor-Görtler instability’, Accepted for publication in AIAA Journal (1992)
P.H. Alfredsson and H. Persson, ‘Instabilities in channel flow with system rotation’, J. Fluid Mech. 202, 543 (1989)
D.J. Tritton and P.A. Davis, ‘Instabilities in geophysical fluid dynamics’, in H.L. Swinney and J.P. Gollub (eds.), Hydrodynamic Instabilities and the Transition to Turbulence, 229, Springer Verlag, Berlin (1981)
V. A. Vadimirov, ‘Analogy between density stratification and rotation effects’, J. of Applied Mech. Tech.Phys. (in Russian) 3, 58 (1985)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Mutabazi, I., Wesfreid, J.E. (1993). Coriolis Force And Centrifugal Force Induced Flow Instabilities. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_30
Download citation
DOI: https://doi.org/10.1007/978-94-011-1906-1_30
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4842-2
Online ISBN: 978-94-011-1906-1
eBook Packages: Springer Book Archive