Thermal analysis on uniformly heated diamond obstruction in convective liquid suspension

Abstract

Heat transfer analysis of partially heated non-Newtonian liquid suspensions in closed enclosures rooted with the porous medium attracts the attention of researchers due to its abundant applications in thermal engineering. The problem appears at the solution exploration stage of the non-linear differential system constructed against heated liquid suspension equipped in a partially heated porous cavity. Therefore, the present numerical study is devoted to reporting the untapped characteristics of the non-Newtonian liquid suspension in a partially heated square enclosure rooted with diamond obstruction. The flow in a porous medium is induced by in-taking free convection. To encounter liquid suspension heat transfer aspects we have incorporated the energy equation. The enclosures lower wall is evenly heated, while the upper wall is held adiabatic. We used the finite element approach to solve the partial differential equations that resulted from the modeling. To bring hybrid meshing of the porous domain, both rectangular and triangular elements are selected. The free convection and porous media result in the Rayleigh number and Darcy number. We execute both contour and line graph studies to report the variation in Casson fluid stream function, Casson fluid temperature, pressure, dimensionless vertical velocity, horizontal velocity, and Nusselt number. It is concluded that installing Diamond-shaped obstruction in a porous medium result in heat transfer enhancement within a closed square cavity. The current theoretical research is intended to assist in the analysis of non-Newtonian fluid flow fields in heated porous enclosures.

Keywords

• Thermal analysis
• Buoyant convection
• Porous medium
• Diamond obstruction
• Closed enclosure
• FEM