Heat and mass transfer in thin film flow of Casson nanofluid over an unsteady stretching sheet

Thin films are frequently employed to enhance the surface characteristics of solids. A thin coating can improve corrosion, reflection, absorption, transmission, pervasion, and electrical behaviour. Nanotechnology also relies on thin-film technologies. Our current investigation aims to examine the heat and mass transfer rate of the thin liquid film of Casson nanofluid past a stretching sheet. A study is conducted on the effect of Casson nanoparticles on thermophoretic force and Brownian force. This study's key insight is introducing the porous medium in the thin film flow. Similarity variables are used to convert governing nonlinear partial differential equations into dimensionless ordinary differential equations, which are solved numerically using the Runge-Kutta fourth-order method along with the shooting technique. Impact on the unsteady, magnetic field, permeability, thermal radiation, Brownian motion, and thermophoretic parameter are discussed graphically with the aid of MATLABR((R)) bvp4c solver to demonstrate their effects on f', theta, and phi . The findings demonstrate that increasing M and Da decreases the velocity profile. Also, we find that increasing beta, R, N-b , and N-t enhances the temperature profile. Our findings are in great accord with previous research.