Slip and Thermo Diffusion Effects on the Flow Over an Inclined Plate

Abstract

An exact analysis of unsteady free convection flow of fractionalized viscous fluid over an oscillating vertically inclined plate is obtained. The phenomenon of exponential heating is added into account for thermal aspects of an inclined plate. Moreover, in the model of problem, additional effects like thermo diffusion and slip are also used. Caputo fractional derivative is used in the model. The novelty of present study is to analyze the effect of angle of inclination on the flow phenomena and the model is generalized by using Fourier’s and Fick’s laws. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, thermo diffusion parameter, and slip parameter are discussed through numerous graphs. From figures, it is observed that Prandtl and Smith numbers have decreasing effect on velocity profile, whereas thermo diffusion and mass Grashof numbers have increasing effect on velocity of fluid.