Numerical investigation of Hopf bifurcation corresponding to transition from steady to oscillatory state in a confined convective flow

American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED

Volumn 237, Issue , 1996, Pages 369-374

  Gelfgat, Alexander Yu ^a   Bar Yoseph, Pinhas Z ^a   Yarin, Alexander L ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); HEAT CONVECTION; OSCILLATIONS; PERTURBATION TECHNIQUES; PRANDTL NUMBER;

CONFINED CONVECTIVE FLOW; NONLINEAR ANALYSIS; OSCILLATORY STATE; RECTANGULAR CAVITY; SUPERCRITICAL FLOWS;

CONFINED FLOW;

EID: 0030363817     PISSN: 08888116     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (7)

1. Gelfgat A. Yu., and Tanasawa L, 1994, "Numerical Analysis of Oscillatory Instability of Buoyancy Convection with the Galerkin Spectral Method," Numerical Heat Transfer, Pt.A, Vol.25, pp.627-648.
2. Gelfgat A.Yu., Bar-Yoseph P.Z., and Solan A., 1996, "Stability of a Confined Swirling Flows with and without Vortex Breakdown," Journal of Fluid Mechanics, Vol.311, pp.1-36.
3. Hassard B.D., Kazarinoff N.D., and Wan Y.-H., 1981, "Theory and Applications of Hopf Bifurcation," London Mathematical Society Lecture Note Series, Vol.41.
4. Laure P., and Roux B., 1989, "Linear and Non-Linear Analysis of the Hadley Circulation," Journal of Crystal Growth, Vol.97, pp.226-234.
5. Pulicani J.P., Crespo del Arco A., Randriampianina A. Bontoux P., and Peyret R., 1989, "Spectral Simulations of Oscillatory Convection at Low Prandtl Number," Int. J. Numerical Methods in Fluids, Vol.10, pp.481-517.
6. Roux B. (ed.), 1989, Proc. GAMM Workshop on Numerical Solution of Oscillatory Convection in Low Prandtl Fluids. Marseille, 1988," Notes on Numerical Fluid Mechanics, Vieweg Braunschweig, Vol.27.
7. Winters K.H., 1988, "Oscillatory Convection in Liquid metals in a Horizontal Temperature Gradient," Int. J. Numerical Methods in Engineering, Vol.25, pp.401-414.