Time fractional analysis of electro-osmotic flow of Walters’s-B fluid with time-dependent temperature and concentration

Abstract

The present article applies the newly developed concept of Atangana-Baleanu time-fractional derivatives to the electro-osmotic magnetohydrodynamic (MHD) free convectional flow of Walters’-B fluid along with heat and mass distribution. The motion generates in the fluid is due to the oscillations of the vertical plate which is embedded in a porous medium. Employing the idea of Atangana-Baleanu time-fractional order derivatives the conventional model of the Walters’-B liquid is transfigured to the fractional model. With the help of the imposed initial and boundary conditions and by making use of the Laplace transform technique (LTT), analytical solutions are procured for concentration, velocity, and temperature. The impact of various physical parameters on the fluid flow is plotted graphically. It is worth seeing from the graphs of the velocity distribution that the greater values of Walters’-B fluid parameter Γ, cause a decrease in the velocity. Furthermore, it is likewise noted from the graphs that higher values of an electro-osmotic parameter Es cause a decline in velocity profile. This behavior of electro-osmotic on the velocity profile may also work in the process of separation of the fluids at the atomic level and can play a very important job for medication dischargers.