Abstract
The joint effect of the magnetic field and Marangoni convection versus the thin liquid film Kerosene oil based carbon nanotubes nanofluid has been investigated in this article. The single and multi walled carbon nanotubes have been used and compared for the inspiration of the various physical constraints. The uniform magnetic field has been imposed to the flow field in vertical direction. The governing equations of motion and heat transfer along with boundary conditions have been converted into nonlinear differential equations with physical conditions. The modeled equations have been computed using homotopy analysis method. The impacts of the various embedded constraints are focused on the velocity, heat transfer, pressure distribution, Skin friction, Nusselt number through tables and graphical illustration. For authentication the achieved outcomes have been associated with the numerical (ND-Solve) method and displayed.