Thermo-Diffusion and Heat Generation Effects on Unsteady MHD Flow of Nanofluid in a Perforated Vertical Medium

The paper investigates unsteady MHD flow of nanofluid in a perforated vertical medium. The effect of thermos-diffusion, thermal radiation, heat generation, and chemical reaction are considered \(. {Fe}_{3}{O}_{4}\) nanoparticles are taken in convectional base fluid like water. The formulated problems are converted into a system of PDE’s with initial and boundary conditions. The governing equations transfer into a non-dimensional form using similarity transformation. The Laplace transformation is applied and obtained analytical solutions. The exact expression of velocity gradient, temperature gradient, and concentration gradient are defined. The different physical parameters effects are discussed through graphs. From the graph, it is seen that motion of the fluid is raised with pressure gradient and porous medium parameter. The magnetic field tends to reduce the velocity, whereas heat transfer process improved with radiation. It is also concluded that, the mass transfer process was decrease with the increasing the values of chemical reaction parameter.