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On the Stationary Convection of Thermohaline Problems of Veronis and Stern Types

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DOI: 10.4236/am.2010.15052    4,501 Downloads   8,404 Views   Citations

ABSTRACT

The stability of thermohaline convection problems of Veronis and Stern types for stationary convection is studied for quite general nature of boundaries. It is shown by means of an appropriately chosen linear transformation, that in case of stationary convection the equations describing the eigenvalue problem for thermohaline convection problems are identical to equations describing the eigenvalue problem for classical Bénard convection problem. As a consequence, the values of the critical Rayleigh numbers for the onset of stationary convection in thermohaline convection problems are obtained. Also, necessary conditions for the validity of principle of exchange of stabilities for thermohaline convection problems are derived using variational principle.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Dhiman, P. Sharma and P. Sharma, "On the Stationary Convection of Thermohaline Problems of Veronis and Stern Types," Applied Mathematics, Vol. 1 No. 5, 2010, pp. 400-405. doi: 10.4236/am.2010.15052.

References

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