| Summary: | The thermal aspects of non-Newtonian flow field manifested with the buoyant convection effect in a closed cavities is not abundantly investigated as yet due to complexity of boundary constraints. Therefore the present work is the key attempt in this direction to offer the untapped computational findings on the trapezium enclosure equipped with the buoyantly convective non-Newtonian fluid and rooted with the partially heated T-shaped fin. The relative velocity of the non-Newtonian fluid and the walls of trapezium enclosure is taken zero. Both left and right walls of cavity are taken uniformly heated. The top wall is insulated and bottom wall is taken cold. The tips of T-shaped fin are taken case-wise: cold, heated and adiabatic. The problem is mathematically controlled by way of system of coupled partial differential equations. For solution purpose the numerical method named finite element method is utilized. The grid accuracy is debated by considering sex different hybrid meshing levels. The impacts of non-Newtonian flow controlling parameters namely the Rayleigh number and the Casson fluid parameter are examined. The outcomes subject to dimensionless horizontal velocity, dimensionless vertical velocity, stream-function, and temperature distribution are shared by means of contour plots. The line graph study is executed to report the Nusselt number variations for T-shaped fin having heated tips and along left/right walls of trapezium enclosure.
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