Numerically simulated behavior analysis of casson fluid flow in a wavy cavity with lorentz’s force

Abstract

The Newtonian flow model is unsuitable for exploring several flow properties in advanced technology. As a result, the non-Newtonian fluid concept is becoming more beneficial. Casson fluid is among the significant fluid types in non-Newtonian substances because of its impressive technical and industrial science characteristics. This research takes the initiative to restrain the thermal and fluid flow rate by unsteady finite element analysis of Casson fluid flow through a square cavity. We consider the combined effect of the magnetic field and heat transfer inside a square cavity containing Casson fluid. The upper and bottom walls of the cavity have a wavy shape. The temperature of the vertical walls is lower, the bottom wall is kept at a constant higher temperature, and the upper wall is thermally insulated. The magnetic field is applied under the angle in an opposite clockwise direction. For the numerical simulation, the finite element technique is employed. The ranges of pertinent parameters are as follows: the Rayleigh number ( ), the Hartmann number (0100), and the Prandtl number (3.5 Pr , Casson parameter (0.01), magnetic orientation , and the number of wave m (where m = 0, 1, 2, 3) respectively. A comparison is made with a reported finding in the open literature; the data agree. The effects of the governing parameters on the energy transport and fluid flow parameters are studied. The results prove that the increment of the magnetic influence determines the decrease of the energy transference because the conduction motion dominates the fluid movement. For moderate Rayleigh numbers, the maximum ratio of heat transfer takes place. The nature of motion and energy transport parameters have been scrutinized. At low β, the strength of the stream function is weak due to the conduction regime of energy transport, for the increment of the Casson parameter, the maximum ratio of heat transfer takes place. It can be seen that for all parameters, for even wave numbers, a high heat transfer rate is observed instead of odd numbers of waves.