Linear and weakly nonlinear analysis of doubly diffusive vertical slot convection

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5554-5563

  Young, Y ^a   Rosner, R ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; MATRIX ALGEBRA; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES; PRANDTL NUMBER; SHEAR FLOW;

BOUSSINESQ EQUATION; FOURIER-CHEBYCHEV SERIES; GINZBURG-LANDAU EQUATION; GRASHOF NUMBER; HOPF BIFURCATION; RAYLEIGH NUMBER; TWO DIMENSIONAL; VERTICAL SLOT CONVECTION;

HEAT CONVECTION;

EID: 0032069678     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5554     Document Type: Article

References (19)

1. S. A. Thorpe, P. K. Hutt, and R. Soulsby, J. Fluid Mech. 38, 375 (1969).JFLSA7
2. J. Mizushima and K. Gotoh, J. Phys. Soc. Jpn. 52, 1206 (1983).JUPSAU
3. J. E. Hart, J. Fluid Mech. 49, 279 (1971).JFLSA7
4. C. F. Chen, J. Fluid Mech. 63, 563 (1974).JFLSA7
5. J. E. Hart, J. Fluid Mech. 59, 47 (1973).JFLSA7
6. R. C. Paliwal and C. F. Chen, J. Fluid Mech. 98, 769 (1980).JFLSA7
7. S. Thangam, A. Zebib, and C. F. Chen, J. Fluid Mech. 112, 151 (1981).JFLSA7
8. Y. Young and R. Rosner, Phys. Rev. E 57, 1183 (1997).PLEEE8
9. A. H. McAllister, Ph.D. thesis, The University of Texas at Austin (1991).
10. G. Veronis, J. Fluid Mech. 34, 315 (1968).JFLSA7
11. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover Publication, New York, 1981).
12. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
13. P. H. Coullet and E. A. Spiegel, SIAM J. Appl. Math. 43, 776 (1983).SMJMAP
14. F. Cattaneo, Ph.D. thesis, Cambridge University (1980).
15. E. Knobloch, Phys. Rev. A 34, 1538 (1986).PLRAAN
16. M. R. E. Proctor and C. A. Jones, J. Fluid Mech. 188, 301 (1988).JFLSA7
17. E. Knobloch and M. R. E. Proctor, Proc. R. Soc. London, Ser. A 415, 61 (1988).PRLAAZ
18. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
19. J. S. Turner, Buoyancy Effects in Fluids (University Press, Cambridge, 1973).