Effect of Diffusion-Thermo on MHD Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate with Chemical Reaction and Heat Generation

In many flow phenomenons of fluid with medium molecular weight, the energy flux is effected due to the inhomogeneity of concentration of mass. This contribution of the concentration to the energy flux is considered as diffusion-thermo effect or Dufour effect. In this research article the diffusion-thermo effect is addressed for the magnetohydrodynamics (MHD) flow of Jeffrey's fractional fluid past an exponentially accelerated vertical plate with generalized thermal and mass transports through a porous medium. For the generalization of the thermal and mass fluxes the constant proportional Caputo (CPC) fractional derivative is utilized. The governing of this generalized flow are reduced to non-dimensional forms and then solved semi analytically by Laplace transform. In additions the physical aspects of flow and material parameters especially the effect of Du and fractional parameters are discussed by sketching the graphs. From the graphical illustration, it is concluded that in the presence of Dufour effect flow speeds up. Moreover, a comparison between fractionalized and ordinary velocity fields is also drawn and it is also observed that fractional model with constant proportional derivative is of the more decaying nature as compare to the model contracted with classical Caputo and Caputo fractional derivatives.

Automated summary

This research article addresses the diffusion-thermo effect in magnetohydrodynamics (MHD) flow of Jeffrey's fractional fluid past an exponentially accelerated vertical plate, utilizing the constant proportional Caputo (CPC) fractional derivative for the generalization of thermal and mass fluxes. The governing equations are solved semi-analytically by Laplace transform, and the physical aspects and effects of different parameters are discussed through graphical illustrations. The results show that the presence of Dufour effect increases the flow speed, and the fractional model with constant proportional derivative decays faster compared to the classical Caputo and Caputo fractional derivatives.