Unsteady flow of nanofluid with double stratification and magnetohydrodynamics

• MHD unsteady flow of viscous nanofluid over an inclined stretching sheet is studied.
• Velocity profile decreases with an increase in thermal and solutal stratification parameters.
• Thermal stratification parameter reduces the temperature field.
• The impact of thermophoresis parameter and Schmidt number on the concentration profile is opposite.
• Higher values of solutal stratification parameter correspond to larger values of local Nusselt and Sherwood numbers.

This article addresses the unsteady flow of viscous nanofluid caused by an inclined stretching sheet. Effects of thermal radiation, viscous dissipation and stratification process due to temperature and concentration are analyzed. Fluid is electrically conducting in the presence of applied magnetic field. The flow consideration is subjected to small magnetic Reynolds number. Induced magnetic field is absent. Appropriate transformations reduce the nonlinear partial differential system to ordinary differential system. Convergent solutions are computed. Interval of convergence is determined. Effects of different parameters on the velocity, temperature and concentration profiles are shown and analyzed. It is concluded that thermal and solutal stratification parameters reduce the velocity distribution. It is also observed that velocity is decreasing function of Hartman number.