Finite element method visualization about heat transfer analysis of Newtonian material in triangular cavity with square cylinder

Abstract

Current effort is devoted to investigate the thermophysical aspects of viscous material in a triangular enclosure interacting with a heated square cylinder placed at central position. To view thermal aspects in explicit manner laminar, steady, incompressible viscous material for two different thermal situations are considered bottom wall is (a) uniformly heated (b) non-uniformly heated. Mathematical modelling of phenomenon is attained in the form of dimensional partial differential expressions. To handle manipulated partial differential system an efficient finite element method is implemented. Discretization of domain at multiple levels is generated in the form hybrid grid containing triangular and quadrilateral elements. Velocity, pressure and temperature are approximated by LBB-stable element. Impact of flow controlling parameters on velocity and thermal profiles for spacious range of Rayleigh number (Ra) and Prandtl number (Pr) are considered. Impact of the sundry parameters on coefficient of convective heat transfer, vortex centres and kinetic energy is also computed and shown in tabular format. It is deduced from heat is more efficiently and effectively supplied for non-uniform heating base wall than the uniformly heated wall. It is worthwhile to mention that discontinuity appears in case of uniform heat supply whereas this singularity is removed in the situation where non-uniform heat is provided. Positive trends in Nusselt number and kinetic energy are disclosed for uplifting magnitude of Rayleigh number. It is also found that velocity magnitude at all locations in cavity increments for intensifying values of Rayleigh number.