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The Role of Kinetic Boundary Conditions in Generating Type II Solutions for Rayleigh-Benard Convection

Published online by Cambridge University Press:  25 April 2016

J. O. Murphy  and
N. Yannios
J. O. Murphy
Affiliation:
Department of Mathematics, Monash University
N. Yannios
Affiliation:
Department of Mathematics, Monash University
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Extract

A new family of solutions for stationary convection (Murphy and Lopez 1984) has been established which exists within the astrophysical range of parameter values — large Rayleigh number and low Prandtl number. These single mode Type II solutions, which have a non-zero component of vertical vorticity, apparently do not exist at higher Prandtl numbers and are characterized by a lower vertical velocity and heat flux, when compared to the equivalent single mode Type I solutions for Rayleigh — Benard convection with zero vertical vorticity. In turn the vertical component of vorticity associated with Type II solutions is responsible for modifying the horizontal components of the velocity field to establish cyclonic or swirling type solutions within the hexagonal convection cell.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 6 , Issue 2 , 1985 , pp. 216 - 219
Copyright
Copyright © Astronomical Society of Australia 1985

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References

Lopez, J. M., and Murphy, J. O., 1983, Proc. Astron. Soc. Aust., 5, 173.Google Scholar
Murphy, J. O., and Lopez, J. M., 1984, Aust. J. Phys., 37, 179.Google Scholar
Toomre, J., Gough, D. O., and Spiegel, E. A., 1977, J. FluidMech., 79, 1.Google Scholar