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

• 作者: Joginder S. Dhiman Poonam Sharma Praveen K. Sharma
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: THERMOHALINE CONVECTION STATIONARY CONVECTION EIGENVALUE Problem Principle of Exchange of STABILITIES Rayleigh Number
• 年，卷（期）: yysxyw_2010,（5）
• 页码范围: 400-405
• 页数: 6页
• 分类号: O1

摘要

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.