Dhiman, Joginder S. and Sharma, Praveen K. and Sharma, Poonam (2010) On the Stationary Convection of Thermohaline Problems of Veronis and Stern Types. Applied Mathematics, 01 (05). pp. 400-405. ISSN 2152-7385
![[thumbnail of AM20100500008_25742566.pdf]](http://journal.scienceopenlibraries.com/style/images/fileicons/text.png)
AM20100500008_25742566.pdf - Published Version
Download (182kB)
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.
Item Type: | Article |
---|---|
Subjects: | STM Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@stmlibrarypress.com |
Date Deposited: | 06 Jun 2023 06:44 |
Last Modified: | 19 Jun 2024 11:56 |
URI: | http://journal.scienceopenlibraries.com/id/eprint/1427 |