A nonlinear mathematical analysis of nanoparticle's velocity, temperature and concentration in magnetohydrodynamic convective flow

The mathematical model of chemical processes and heat radiation impacts on the MHD flow of nanofluid is discussed. This model employs nonlinear differential equations, including a nonlinear component associated with combined convection and chemical processes. The changes in temperature, concentration, and velocity caused by thermal factors are examined in this article. In the magnetohydrodynamic flow of copper-water nanofluid, we compute the Nusselt and Sherwood numbers and the skin friction. Our calculations take into consideration both viscosity and ohmic dissipation. This theoretical analysis is conducted for the first time in MHD flow problems using the analytical method (J. Phys. Chem. C 2023, 127, 24, 11,517–11,525) (Rajendran-Joy method) and numerical calculations (Scilab). This analytical result is compared with the numerical result to determine their efficiency and accuracy. Also, the Local Nusselt and Sherwood numbers and skin friction coefficient for various parameters are discussed and compared with the numerical result. The graphs and tables show how different factors affect temperature, concentration, and velocity. A sensitivity analysis of parameters on velocity is also discussed.