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 atriangular enclosure interacting with a heated square cylinder placed at central position. Toview thermal aspects in explicit manner laminar, steady, incompressible viscous materialfor 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 ofdimensional partial differential expressions. To handle manipulated partial differential sys-tem an efficient finite element method is implemented. Discretization of domain at multiplelevels is generated in the form hybrid grid containing triangular and quadrilateral elements.Velocity, pressure and temperature are approximated by LBB-stable element. Impact offlow controlling parameters on velocity and thermal profiles for spacious range of Rayleighnumber (Ra) and Prandtl number (Pr) are considered. Impact of the sundry parameters oncoefficient of convective heat transfer, vortex centres and kinetic energy is also computedand shown in tabular format. It is deduced from heat is more efficiently and effectively sup-plied for non-uniform heating base wall than the uniformly heated wall. It is worthwhile tomention that discontinuity appears in case of uniform heat supply whereas this singularityis removed in the situation where non-uniform heat is provided. Positive trends in Nus-selt number and kinetic energy are disclosed for uplifting magnitude of Rayleigh number. Itis also found that velocity magnitude at all locations in cavity increments for intensifyingvalues of Rayleigh number.