Magnetohydrodynamic thin film deposition of Carreau nanofluid over an unsteady stretching surface

Thin films are commonly used to improve the surface features of solids. Permeation, corrosion, hardness, reflection, transmission, absorption and electrical behavior are certain properties of a bulk material surface that can be made effective by use of a thin film. Thin film technology can also play a vital role in nanotechnology. In this study, an analysis is performed about the Carreau thin film flow over an electrically conducting elastic stretching sheet. The effects of Brownian motion and thermophoresis parameters are utilized to describe the characteristics of heat and mass transfer phenomena. The time-dependent thin film flow is modeled over a moving surface in the form of nonlinear PDEs and then converted into nonlinear ODEs using suitable transformations. The computational outcomes are captured with the help of numerical method and displayed in graphical form. Effects of various flow parameters like the magnetic, Brownian and thermophoresis parameters are tested and found to be very remarkable during the flow analysis. Moreover, a declining conduct is noted with the impact of magnetic and Brownian motion parameters on the velocity, temperature and concentration fields. On the other hand, the influence of the thermophoresis parameter on the temperature of the fluid is found to be in increasing order. Furthermore, the boundary layer thickness is varying during the flow and all the numerical values of film thickness obtained are in good agreement with the existing literature.