Structure of phase space in a model of threedimensional convection in a rotating fluid
Abstract
The paper presents a mathematical model of convection in a fluid rotating in relation to threedimensional heat sources and sinks. The Galerkin method is used to construct a 36dimensional approximation of the equations of the Boussinesq approximation. On the Grashof numberangular velocity plane, neutral stability curves of stationary regimes of convection are obtained for different values of a third parameter characterizing the spatial distribution of heat sources and sinks in the vessel. Two types of selfoscillations are found, and the attraction region of one of these types is shown to be limited in the phase space of the system.
 Publication:

Moskovskii Universitet Vestnik Seriia Fizika Astronomiia
 Pub Date:
 April 1984
 Bibcode:
 1984MVSFA..25...81G
 Keywords:

 Convective Heat Transfer;
 Rotating Fluids;
 Three Dimensional Flow;
 Boussinesq Approximation;
 Galerkin Method;
 Heat Sources;
 Mathematical Models;
 PhaseSpace Integral;
 Self Oscillation;
 Fluid Mechanics and Heat Transfer