Heat and Mass Transfer of Magnetohydrodynamic Nanofluid in a Boundary Layer with Slip Conditions Along a Permeable Exponentially Stretching Sheet

Heat and mass transfer of MHD nanofluid flow in a boundary layer with slip conditions along a permeable exponentially stretching sheet in a vertical direction with viscous dissipation and thermal radiation is presented in the paper. The sheet is situated in the XZ-plane and Y is perpendicular to the surface, which is directing to the positive Y-axis. An external variable magnetic field is applied to the flow regime parallel to the y-axis and the sheet is continuously stretching exponentially in the positive X-axis. The governing boundary layer equations are formulated and then transformed into dimensionless forms. The resulting equations are then solved numerically by an implicit scheme known as the Keller-box method and effects of the pertinent parameters on velocity, temperature, concentration, skin friction coefficient, Nusselt number and Sherwood number are mentioned and explained graphically and in tabular form. The velocity profile decreases vigorously with an increase in hydrodynamic slip and combined porous medium and magnetic parameters whereas the temperature profile is mainly enhanced by hydrodynamic slip, Brownian motion, thermal radiation and combined porous medium and magnetic parameters. On the other hand, Prandtl number and thermal slip parameters highly reduce the temperature profile. Nanoparticle volume fraction profile is enhanced by hydrodynamic slip and combined porous medium and magnetic parameters whereas it is reduced by Schmidt number, Brownian motion, thermal slip and nanoparticle volume fraction slip parameters. The results are in nice agreement with reported results under considerations.