The simultaneous investigation on the parameters affecting the flow of electrically conductive fluids such as volumetric radiation, heat absorption, heat generation, and magnetic field (MF) is very vital due to its existence in various sectors of industry and engineering. The present research focuses on mathematical modeling to simulate the cooling of a hot component through power-law (PL) nanofluid convection flow. The temperature reduction of the hot component inside a two-dimensional (2D) inclined chamber with two different cold wall shapes is evaluated. The formulation of the problem is derived with the lattice Boltzmann method (LBM) by code writing via the FORTRAN language. The variables such as the radiation parameter (0-1), the Hartmann number (0-75), the heat absorption/generation coefficient (-5-5), the fluid behavioral index (0.8-1.2), the Rayleigh number (103-105), the imposed MF angle (0°-90°), the chamber inclination angle (-90°-90°), and the cavity cold wall shape (smooth and curved) are investigated. The findings indicate that the presence of radiation increases the mean Nusselt number value for the shear-thickening, Newtonian, and shear thinning fluids by about 6.2%, 4%, and 2%, respectively. In most cases, the presence of nanoparticles improves the heat transfer (HT) rate, especially in the cases where thermal conduction dominates convection. There is the lowest cooling performance index and MF effect for the cavity placed at an angle of 90°. The application in the design of electronic coolers and solar collectors is one of the practical cases of this numerical research.
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