Numerical Simulations of the Lorentz Force Effect on Thermal Convection in an Inclined Square Cavity Filled with a Non-Newtonian Fluid

The authors examine the influence of a uniform magnetic field on the characteristics of thermal and dynamic behaviors of non-Newtonian fluid generated by natural convection in a tilted square cavity. The MRT-LBM is employed to elucidate the main physical parameters’ effect, namely, the Hartmann number \(Ha\) (from 0 to 50) and the power-law index \(n\) (from 0.6 to 1.4), for fixed inclination angle ( \(\gamma = 45^\circ\) ) and Rayleigh number ( \(Ra = 10^{5}\) ). According to the findings of this study, the flow intensity and the heat transfer are negatively affected by rising either the power-law index or the Hartmann number.