MHD fractional Jeffrey’s fluid flow in the presence of thermo diffusion, thermal radiation effects with first order chemical reaction and uniform heat flux

Abstract

Exact analysis is about the natural convection flow of non-Newtonian Jeffrey fluid with the Caputo-Fabrizio fractional derivative of non-singular kernel has been discussed in this work. The Laplace transform method is used to obtain the solutions of dimensionless temperature, concentration and velocity fields with non-integer order derivative. Moreover, in the mathematical modelling of the problem, the additional effects like Soret effect, MHD, heat sink, radiations, chemical reaction, porous medium and uniform heat flux are also considered. Our results are reduced to the known solutions in the existing literature for viscous fluid. Finally, we have plotted some graphical illustration to see the physical insight of the studied problem for different flow parameters and found that fluid velocity can be enhanced with the Caputo-Fabrizo approach by increasing the value of non-integer order parameter while skin friction coefficient decreases. Keywords: Fractional Jeffrey’s fluid, Heat flux, MHD, Heat and mass transfer, Soret effect, Chemical reaction