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L. Rayleigh, “On the Convective Current in a Horizontal Layer of Fluid When the Higher Temperature is on the Upper Side,” Philosophical Magazine, Vol. 32, No. 3, pp. 529-543.

has been cited by the following article:

• TITLE: On the Stationary Convection of Thermohaline Problems of Veronis and Stern Types

  AUTHORS: Joginder S. Dhiman, Praveen K. Sharma, Poonam Sharma

  KEYWORDS: Thermohaline Convection, Stationary Convection, Eigenvalue Problem, Principle of Exchange of Stabilities, Rayleigh Number

  JOURNAL NAME: Applied Mathematics, Vol.1 No.5, December 1, 2010

  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.