TIME-FRACTIONAL FREE CONVECTION FLOW NEAR A VERTICAL PLATE WITH NEWTONIAN HEATING AND MASS DIFFUSION

The time-fractional free convection flow of an incompressible viscous fluid near a vertical plate with Newtonian heating and mass diffusion is investigated in presence of first order chemical reaction. The dimensionless temperature, concentration, and velocity fields, as well as the skin friction and the rates of heat and mass transfer from the plate to the fluid, are determined using the Laplace transform technique. Closed form expressions are established in terms of Robotnov-Hartley and Wright functions. The similar solutions for ordinary fluids are also determined. Finally, the influence of fractional parameter on the temperature, concentration and velocity fields is graphically underlined and discussed.