The Combined Magneto Hydrodynamic and Electric Field Effect on an Unsteady Maxwell Nanofluid Flow over a Stretching Surface under the Influence of Variable Heat and Thermal Radiation

The manuscript is a presentation of the combined effect of magnetic and electric field on unsteady flow of Maxwell nanofluid over a stretching surface with thermal radiations. The flow of Maxwell nanofluid is assumed to be in an unsteady state. The basic governing equations changed to a group of differential equations, using proper similarity variables. The obtained modeled equations are nonlinear and coupled. An optimal approach is used to acquire the solution of the modeled problem analytically. The effects of electric field, magnetic field and thermal radiations on Maxwell nanofluid are the main focus in this study. The impact of the Skin friction on velocity profile, Nusselt number on temperature profile and Sherwood number on concentration profile are studied numerically. The influential behavior of the unsteady parameter λ , magnetic parameter M , electric parameter E , radiation parameter R d , Maxwell parameter β , thermophoresis parameter N t , Prandtl number Pr , Schmidt number S c , space dependent coefficient A and temperature dependent coefficient B on the velocity f ( h ) , concentration ϕ ( η ) and temperature θ ( η ) are analyzed and studied. The consequences are drawn graphically to see the physical significance of the problem.