Affiliation:
1. Department of Mathematics, GITAM (Deemed to be University), Visakhapatnam, Andhra Pradesh, India
2. Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India
Abstract
In the energy transport field, the non-Newtonian fluid flows have a comprehensive series of applications in association with biological fluids, oceanography, covering energy exchanger technology, melt-spinning, and the freezing of metallic plates and suspensions. Therefore, the chemical reaction, heat generation, Soret and Dufour consequences on magneto-hydrodynamic unsteady chemically reactive Casson fluid have been considered. It is due to an exponentially accelerated vertical permeable plate embedded into a porous medium by captivating ramped surface temperature and concentration in the endurances of thermal radiation. The basic governing sets of equations are converted into non-dimensional forms by putting the appropriate non-dimensional variables and the resultant equations are computationally solved by the proficient Crank–Nicolson implicit finite difference methodology. The influences of numerous imperative considerable parameters on the velocity, temperature along with concentration of the fluids, and the skin friction coefficients, Nusselt and Sherwood numbers for the together thermal situations have been explored and discussed powerfully by making utilization of graphical profiles in addition to tables. It is found that by the increasing quantities of the Dufour, temperature generation and thermal radiation parameter, the fluid temperature and velocity are enhanced. Similarly, it is found that an increase in the Soret parameter, then the fluid velocity and concentration are enhanced, while opposite results are obtained by increasing in the chemical reaction parameter.