Homotopic solutions of an unsteady magnetohydrodynamic flow of Casson nanofluid flow by a vertical cylinder with Brownian and viscous dissipation effects

The present study investigates the mathematical and computational framework of an unsteady magnetohydrodynamic (MHD) Casson nanofluid flow subjected to convective heat transfer enhancement in a vertically moving cylinder. The two main important aspects of nanosized particles movement in nanofluids are the Brownian motion and thermophoresis force which have substantial impacts on the thermophysical characteristics of nanofluids. The mathematical formulation regarding the assumed diversified and control parameters are modeled in constitutive partial differential equations (PDEs). The boundary layer theory is used to reduce the nonlinearity of subsequent dimensionless partial differential equations. The homotopic solution of these dimensionless PDEs is obtained via an analytical algorithm. The impact of sundry influential physical parameters comprises flow and heat transfer individualities. Computational results of the homotopic scheme toward several governing parameters of interest, such as the skin friction, heat, and mass transfer at the diverse condition and dependency of different parameters are offered by means of plotted graphs and elaborated.