Galerkin finite element modeling of thermohaline fluid in an inclined cavity

Abstract

The knowledge of the behavior of thermo-solute in a confined space shall open up many application areas in control process. Flow analysis of a Thermohaline fluid inside a square cavity inclined at angle ‘φ0’ with X-axis under steady state conditions has been investigated has been investigated.. The equations are modified with respect to rotational symmetry of groups. The resulting partial differential equations are modelled using Finite Element Technique. Also we have established a set of shape functions applicable to fourth order partial differential equations. Shape functions and the corresponding surfaces are characterized with respect to its properties. Algorithm has been developed for the computation. This model can be extended to analysis of largescale double diffusive convection subjected to complex boundaries.