Some remarks on thermo-physical properties of magnetohydrodynamics heat and mass transfer of nano-fluid flow over a nonlinear permeable stretching sheet

The study aims to explore the potential benefits of investigating the MHD heat and mass transfer of nano-fluid over a nonlinear permeable stretching sheet. This is achieved by examining the influence of temperature- dependent viscosity and temperature-dependent thermal conductivity on nano-fluid. The governing partial differential equations that describe the nano-fluid flow are transformed and parameterized into a set of ordinary differential equations. These equations are subsequently solved numerically using shooting technique with the fourth order Runge-Kutta method. A graphical analysis is employed to assess the impact of specific fluid parameters on the momentum, thermal, and concentration equations. The outcomes depicted in the graphs reveal a noticeable effect of temperature- dependent viscosity and temperature-dependent thermal conductivity on the mathematical model.