Print Numerical investigation of heatlines on mixed convection inside lid-driven cavity having heated wavy wall with tilted square obstacle

Abstract

The present problem investigatesthe heatlines on mixed convection inside a lid-driven cavity having heated wavy walls with two diamond-shaped obstacles. The left and right vertical walls are at acold temperature, the top wall is under adiabatic conditions, and the bottom wavy wall is heated. The relevant governing equation has been solved using Galerkin weighted residual approach by the finite element method. The implications of the Reynoldsnumber , Richardson number , Hartman number , Prandtlnumber , Undulations number and inner diamond shape obstacle are visualized by the streamlines, isotherms, and the heatlines. The convectionheat transfer is observed to be fully developed at a high Prandtl number, whereas heat conduction occurs at a low Prandtl number. In particular,the number of undulations has the most critical impact on the streamlines and the temperature distributions compared to the flat surface. Higher Reynolds and Prandtl numbers result in an increment in the average and local Nusselt numbers.The isotherm, streamlines, heatlines, average Nusselt number, and fluid temperature are shown graphically for several relevant dimensionless parameters.The result demonstrates that a single oscillation of the wavy heated wall with such a low Richardson number isoptimal heat transfer in the cavity.The presence of undulations minimizes the cavity area, the case N = 3 makes quicker fluid motions and better heat transfer in the present research. Additionally, the interior obstacle size reduces the amount of space it takes up within the wavy cavity, and it was observed that the obstacle with diamond size D = 0.15 is better than that with any other size.