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A Nonlinear Bifurcation in Cellular Convection Theory

Published online by Cambridge University Press:  25 April 2016

N. Yannios ,
J. M. Lopez  and
J. O. Murphy
N. Yannios
Affiliation:
Department of Mathematics, Monash University Pressent address: Vipac Pty. Ltd., Victorian Technology Center, Port Melbourne
J. M. Lopez
Affiliation:
Department of Mathematics, Monash University Pressent address: Aerodynamics Division, Aeronautical Research Laboratories, Port Melbourne
J. O. Murphy
Affiliation:
Department of Mathematics, Monash University
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Abstract

Time dependent solutions of the nonlinear modal equations for cellular convection in a fluid layer heated below have demonstrated the existence of a nonlinear bifurcation which leads to a stable regime with reduced heat flux and vertical velocities. This new state is brought about by the growth, to a significant level, of the vertical component of vorticity after an initial quasi-steady state has been established. The growth rate mechanism has been investigated analytically and compared with the numerical results. These vorticity modified solutions exhibit favourable features Which could be established in the solar convection zone.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 6 , Issue 3 , 1986 , pp. 322 - 325
Copyright
Copyright © Astronomical Society of Australia 1986

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References

Chandrasekhar, S., 1961, Hydrodynamic and Hydromagnetic Stability, (Oxford Univ. Press).Google Scholar
Lopez, J. M. and Murphy, J. O., 1983, Proc. Astron. Soc. Aust., 5, 173.CrossRefGoogle Scholar
Lopez, J. M. and Murphy, J. O., 1984, Aust. J. Phys., 37, 531.CrossRefGoogle Scholar
Lopez, J. M. and Murphy, J. O., 1986, Nonlinear Bifurcations to Time- Dependent Rayleigh-Benard Convection, (submitted to Proc. Roy. Soc. Lond. A).Google Scholar
Murphy, J. O. and Yannios, N., 1985, Proc. Astron. Soc. Aust., 6, 216.CrossRefGoogle Scholar