Flow bifurcation and heat transfer in a spherical gap

International Journal of Heat and Mass Transfer

Volumn 43, Issue 6, 2000, Pages 885-899

  Luo, W J ^a   Yang, R J ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; SPHERES; STABILITY; STEADY FLOW; TEMPERATURE DISTRIBUTION;

BIFURCATION DIAGRAM; CONCENTRIC SPHERES; FLOW BIFURCATION; JACOBIAN MATRIX;

HEAT TRANSFER;

BIFURCATION; FLOW SEPARATION; HEAT TRANSFER;

EID: 0342748721     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(99)00194-5     Document Type: Article

References (21)

1. Wimmer M. Experiments on a viscous fluid flow between concentric rotating spheres. J. Fluid Mech. 79:1976;317-335.
2. Bartels F. Taylor vortices between two concentric rotating spheres. J. Fluid Mech. 119:1982;1-25.
3. Marcus P.S., Tuckerman L.S. Simulation of flow between concentric rotating spheres, Part 1 - steady states and Part 2 - transitions. J. Fluid Mech. 185:1987;1-65.
4. Schrauf G. The first instability in spherical Taylor-Couette flow. J. Fluid Mech. 166:1986;287-303.
5. Keller H.B. Numerical solution of bifurcation and nonlinear eigenvalue problems. Rabinowitz P. Applications of Bifurcation Theory. 1977;359-384 Academic Press.
6. Bühler K. Symmetric and asymmetric Taylor vortex flow in spherical gaps. Acta Mechanica. 81:1990;3-38.
7. Bar-Yoseph P., Solan A., Hillen R., Roesner K.G. Taylor vortex flow between eccentric coaxial rotating spheres. Phys. Fluids. 2:(9):1990;1564-1573.
8. Mamun C.K., Tuckerman L.S. Asymmetry and Hopf bifurcation in spherical Couette flow. Phys. Fluids. 7:(1):1995;80-91.
9. Yang R.-J. A numerical procedure for predicting multiple solutions of a spherical Taylor-Couette flow. International Journal for Numerical Methods in Fluids. 22:1996;1135-1147.
10. Bishop E.H., Kolflat R.S., Mack L.R., Scanlan J.A. Convective heat transfer between concentric spheres. Giedt W.H., Levy S. Proceedings of 1964 Heat Transfer Fluid Mech. Inst. 1964;69-80 Stanford University Press, Berkeley, CA.
11. Bishop E.H., Scanlan J.A., Mack L.R. Heat transfer by natural convection between concentric spheres. Int. J. Heat Mass Transfer. 9:1966;649-662.
12. Scanlan J.A., Bishop E.H., Powe R.E. Natural convection heat transfer between concentric spheres. Int. J. Heat Mass Transfer. 13:1970;1857-1872.
13. Yin S.H., Powe R.E., Scanlan J.A., Bishop E.H. Natural convection flow patterns in spherical annuli. Int. J. Heat Mass Transfer. 16:1973;1785-1795.
14. Burns P.J., Tien C.L. Natural convection in porous media bounded by concentric spheres and horizontal cylinders. Int. J. Heat Mass Transfer. 22:1979;929-939.
15. Singh S.N., Elliott J.M. Natural convection between concentric spheres in a slightly-thermally stratified medium. Int. J. Heat Mass Transfer. 24:1981;395-406.
16. Nelsen J.M., Douglass R.W. On partial spectral expansions with natural convection in spherical annulus enclosures as an example. Numer. Heat Transfer. 6:1983;67-84.
17. Nelsen J.M., Douglass R.W. Non-uniform energy generation effects on natural convection in a spherical annulus enclosure. Int. J. Heat Mass Transfer. 27:1984;1925-1928.
18. Wright J.L., Douglass R.W. Natural convection in narrow-gap, spherical annuli. Int. J. Heat Mass Transfer. 29:1986;725-739.
19. Seydel R. From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis. 1988;Elsevier, New York.
20. Saad Y. Numerical Methods for Large Eigenvalues Problems. 1992;Halsted.
21. Sorensen D.C. Implicit application of polynomial filters in a k-step Arnoldi method. SIAM J. Matrix Anal. Appl. 13:1992;357-367.