RO  EN
IMCS/Publications/BASM/Issues/BASM n.1 (47), 2005/

A nonlinear hydrodynamic stability criterion derived by a generalized energy method.

Authors: Catalin Liviu Bichir, Adelina Georgescu, Lidia Palese

Abstract

By applying a new variant of the A.Georgescu-L.Palese-A.Redaelli (G-P-R) method [8] , based on the symmetrization of a linear operator, we deduce a nonlinear stability criterion of a state of thermal conduction of a horizontal fluid layer subject to a vertical upwards uniform magnetic field and a vertical upwards constant temperature gradient. The Boussinesq approximation is used. The upper and lower surfaces of the layer are two rigid walls. It is assumed that the magnetic Prandtl number is strictly greater than unity.

Catalin Liviu Bichir
Research and Design Institute for Shipbuilding-ICEPRONAV Galatzi
Department of Ship's Hydrodynamic, Galatzi, Romania

Adelina Georgescu
University of Pitesti, Department of Applied Mathematics, Pitesti, Romania

Lidia Palese
University Campus, Department of Mathematics, Bari, Italy



Fulltext

Adobe PDF document0.11 Mb