The nonaxisymmetric instability of the wide-gap spherical Couette flow

Physics of Fluids

Volumn 9, Issue 4, 1997, Pages 1197-1199

  Araki, Keisuke ^a   Mizushima, Jiro ^b   Yanase, Shinichiro ^c  

^a NATIONAL INSTITUTE FOR FUSION SCIENCE   (Japan)

^b DOSHISHA UNIVERSITY   (Japan)

^c OKAYAMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COUETTE FLOW; INSTABILITY;

EID: 0030860435     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869177     Document Type: Article

References (10)

1. C. Egbers and H. J. Rath, "The existence of Taylor vortices and wide-gap instabilities in spherical Couette flow," Acta Mech. 111, 125 (1995).
2. Yu. N. Belyaev, A. A. Monakhov, and I. M. Yavorskaya, "Stability of spherical Couette flow in thick layers when the inner sphere revolves," Fluid Dyn, 13, 162 (1978) [Transl. Izv. Akad, Nauk SSSR Mekh. Zh. Gaza, No. 2, 9 (1978)].
3. Yu. N. Belyaev, A. A. Monakhov, and I. M. Yavorskaya, "Stability of spherical Couette flow in thick layers when the inner sphere revolves," Fluid Dyn, 13, 162 (1978) [Transl. Izv. Akad, Nauk SSSR Mekh. Zh. Gaza, No. 2, 9 (1978)].
4. B. R. Munson and D. D. Joseph, "Viscous incompressible flow between concentric rotating spheres. Part 2. Hydrodynamics stability," J. Fluid Mech. 49, 305 (1971).
5. Yu. N. Belayev and I. M. Yavorskaya, "Transition to stochasticity of viscous flow between rotating spheres," in Nonlinear Dynamics and Turbulence, edited by G. I. Barenblatt, G. Iooss, and D. D. Joseph (Pitman, Boston, 1983), pp. 61-70.
6. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang. Spectral Methods in Fluid Dynamics (Springer-Verlag, Berlin, 1987), Sec. 1.2.4.
7. B. R. Munson and D. D. Joseph, "Viscous incompressible flow between concentric rotating spheres. Part 1. Basic flow," J. Fluid Mech. 49, 289 (1971).
8. G. Schrauf, "The first instability in spherical Taylor-Couette flow," J. Fluid Mech. 166, 287 (1986).
9. 2,θ)=0. For details of the expansion, K. Araki, J. Mizushima, and S. Yanase, "Symmetrs breaking by differential rotation and saddle-node bifurcation of the thermal convection in a spherical shell," J. Phys. Soc. Jpn. 65, 3862 (1996).
10. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon, Oxford, 1961), Appendix III.