Thin-film flow of Carreau fluid over a stretching surface including the couple stress and uniform magnetic field

In the present analysis, the thin film flow of Carreau fluid under the consequences of uniform magnetic field over an extending substrate has been addressed. Marangoni convection and couple stress has been also considered to find the fine point of the flow. The intention behind this work is to enhance the energy and mass transmission rate over a stretching sheet. The phenomena have been modeled in the form of system of PDEs, which are reduced to dimensionless system of ODEs through the similarity approach. The results are obtained via analytical framework homotopy analysis method (HAM). The behavior of velocity, energy and mass transmission profile has been disclosed through Figures and Tables. It has been perceived that the fluid velocity declines with the improvement of magnetic field, Marangoni parameter, unsteadiness term, thin film parameter, Weissenberg number We 2 and couple stress parameter K. The thermal energy transmission rate enhances with the consequences of thermophoresis term and Brownian motion factor, while reduces with the effect of Prandtl number.