Finite element technique for the analysis of buoyantly convective multiply connected domain as a trapezium enclosure with heated circular obstacle

The fluid is equipped in a multiply connected domain and termed as trapezium enclosure. The fluid is driven by incorporating Buoyant convection effect. The upper wall is considered at an adiabatic condition and the left wall is taken cold. Both the right and bottom walls are considered uniformly and non-uniformly heated case wise. The uniformly heated circular cylinder is placed in a trapezium cavity. The obtained mathematical structured is solved numerically via Finite Element Method (FEM). The obtained results are offered in terms of stream lines and isotherms towards wide range of Rayleigh number. The velocity variations in terms of X and Y components are identified for the both uniform and non-uniform heated walls. The detail analysis subject to temperature is performed. The heat transfer aspects in terms of the Nusselt number are examined and provided by means of line graphs.