Abstract
The present paper introduces a numerical study on the electromagnetic flow of Carreau nanofluid on a nonlinearly surface that stretches in a porous medium under the influence of heat absorption/generation and nonlinear thermal radiation besides the effects of thermophoresis and Brownian
motion on the distributions of velocity, temperature, and nanoparticle concentration. The similarity transformations were used in converting the structure of governing partial differential equations into a structure of an ordinary differential equations that subsequently answered numerically
by the Runge-Kutta fourth order technique with shooting technique. Also, graphical forms and numerical tables were used to show the results of all effects of physical coefficients that will be presented later in detail. Finally, some results of the study showed a decline in distributing the
concentration and temperature of nanoparticles when reinforcing the values of the Lewis number and Prandtl number.