Performance of flow and heat transfer analysis of mixed convection in Casson fluid filled lid driven cavity including solid obstacle with magnetic impact

Abstract

AbstractIn this study, the heat transfer and fluid flow characteristics of mixed convection in a double lid driven cavity containing a heat conducting solid obstacle in presence of magnetic field is numerically investigated. The left and right vertical walls of the cavity are isothermally heated and cooled respectively while horizontal walls are thermally insulated. A solid cylinder is positioned at the centre of the cavity. Mathematical model has been developed considering non-Newtonian model of Casson fluid and solved with finite element method based on Galerkin residual technique. The simulated numerical results are obtained through streamlines, temperature contours and average Nusselt number for a set of dimensionless parameters and discussed elaborately to make the effective usability of Casson fluid in different industrial and engineering processes. The obtained results based on special cases are compared with the existing results. It is observed that the flow and thermal fields were influenced significantly by the Reynolds number for any Casson fluid parameter. The intensification of streamlines strengthened for Casson fluid parameter compared to isotherms. Moreover, enhancement of heat transfer due to increased Reynolds number expedites with Casson fluid parameter while a reverse trend is observed for higher Hartmann number. In addition, appropriate direction of lid walls provides a better heat transfer rate.