Investigation of thermosolutal diffusion in corrugated domain saturated with magnetized non-Newtonian fluid by performing FEM simulation

This investigation is concerned with the effectiveness of corrugated boundaries on diffusion (thermal and solutal) energy in viscous (water) fluid flow in a rectangular chamber. The application of an inclined magnetic field is considered to measure aspects of the Lorentz force. A baffle with uniformly distributed temperature and concentration is installed in the middle of the enclosure. The construction of the problem is tackled by a finite-element approach implemented using the commercial software COMSOL. The resultant nonlinear model of equations is resolved by Newton's methodology and the associated linear subproblem is simulated by the Gauss elimination method. Grid sensitivity and data comparison tests are performed to ensure the validation of computational scheme and model problem. Average Nusselt and Sherwood numbers are computed against corrugation wavelength, and the maximum amount of streaming function 4.4 is attained in the case of corrugated boundary instead of solid boundary at 4.1. Statistics of the average Nusselt number reveal that with increasing corrugation wavelength amount from 6 to 12, the heat flux coefficient experiences an increase from approximately 73% to 84%. The mass flux coefficient decreases from about 16% to 29% at Rayleigh number 104. While at Ra=105, heat flux increases from 80% to 87%.