The thin film flow of micropolar fluid in a porous medium under the influence of thermophoresis with the heat effect past a stretching plate is analyzed. Micropolar fluid is assumed as a base fluid and the plate is considered to move with a linear velocity and subject to the variation of the reference temperature and concentration. The latitude of flow is limited to being two-dimensional and is steadily affected by sensitive fluid film size with the effect of thermal radiation. The basic equations of fluid flow are changed through the similarity variables into a set of nonlinear coupled differential equations with physical conditions. The suitable transformations for the energy equation is used and the non-dimensional form of the temperature field are different from the published work. The problem is solved by using Homotopy Analysis Method (HAM). The effects of radiation parameter R, vortex-viscosity parameter Δ, permeability parameter Mr, microrotation parameter Gr, Soret number Sr, thermophoretic parameter τ, inertia parameter Nr, Schmidt number Sc, and Prandtl number Pr are shown graphically and discussed.

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The aim of this study is to coat a stretching cylinder with the help of a liquid film spray. T h eC a s s o nf l u i dh a sb e e nc h o s e nf o rt h ec oating phenomena. The thickness of the liquid film has been used as variable, and the influence of heat and mass transmission under the impact of thermophoresis has been encountered in the flow field. The required pressure term for the spray pattern during variable thickness has mainly been focused. Using the suitable similarity transformations, the basic flow equations for the fluid motion have been converted into high-order nonlinear coupled differential equations. Series solutions of subsequent problem have been obtained using controlling procedure optimal approach. Important physical constraints of skin friction, Nusselt number, and Sherwood number have been calculated numerically and discussed. Other physical parameters involved in the problem, i.e., Reynolds number Re, Casson fluid parameter β 1 , Prandtl number Pr, Lewis number Le, Brownian motion parameter N b , and thermophoresis parameter N t have been illustrated. The skin friction effect and its physical appearance are also included in this work. The convergence is checked by plotting h-curves. The emerging parameters are discussed by plotting graphs. The recent work is also compared with the published work.