Heat transfer analysis on buoyantly convective non-Newtonian stream in a hexagonal enclosure rooted with T-Shaped flipper: Hybrid meshed analysis

Abstract

It is well consensus among researchers that the non-Newtonian fluid equipped in closed enclosures brings complicated mathematical models and hence one cannot examine flow field truly. The present attempt is first numerical investigation to evaluate the buoyantly convective non-Newtonian fluid flow equipped in hexagonal shaped cavity. The uniformly heated T-shaped fin is embedded at lower wall of hexagonal cavity. The top wall of hexagonal cavity is manifested with an adiabatic condition. The bottom wall of enclosure is taken uniformly heated. Both left and right walls are kept cold. The buoyantly convective Casson fluid flow around uniformly heated T-shaped fin is mathematically controlled by way of system of partial differential equations. The finite element method is adopted to report numerical solution. The hexagonal enclosure as a computational domain is discretized by means of both triangular and rectangular elements. The velocity and temperature distribution around uniformly heated T-shaped are examined towards Rayleigh number. The line graph study is also executed to report the dimensionless Casson fluid and Casson temperature along center and vertical line directions of T-shaped fin. The impact of Rayleigh number on heat transfer rate along the surface of heated fin is also examined and offered by means of line graph. It is observed that the heat transfer rate enhances along the surface of T-shaped fin when we increase the Rayleigh number.