Document Type: Research Paper

**Authors**

Department of Mathematics and Statistics, Manipal University, Rajasthan, India

**Abstract**

In the current article has been investigated unsteady convective flow for MHD non-Newtonian Powell-Eyring fluid embedded porous medium over inclined permeable stretching sheet. We have pondered the thermophoresis parameter, chemical reaction, variable thermal conductivity, Brownian motion, variable heat source and variable thermal radiation in temperature and concentration profiles. Using similarly transformation the PDEs are converted by couple ODEs and solve by R–K–Fehlberg 4th –5th order method. The physical features of non-dimensional radiation parameter, non-Newtonian fluid parameters, suction /injection parameter, mass Grashof number porosity parameter, temperature ratio parameter, thermal Grashof number, Biot number of temperature and Biot number of concentration have been analyzed by plotting the graphs of graphically representation of momentum, heat and mass profiles. , and have been analyzed. The transfer rate of temperature is decreased whereas the flow rate of fluid is growth with an enhance in (K) and (Gr). The transfer rate of temperature is distinctly boosted whereas the fluid flow rate is distinctly declined with an enhance in (M) , (Kp).

**Graphical Abstract**

**Keywords**

**Main Subjects**

[11]. S. Jain, “Temperature distribution in a viscous fluid flow through a channel bounded by a porous medium and a stretching sheet”. J. Rajasthan Acad. Phy. Sci., Vol. 4, pp. 477-482 (2006).

[13]. S. Jain and A. Parmar, “Comparative study of flow and heat transfer behavior of Newtonian and non-Newtonian fluids over a permeable stretching surface”. Global and stochastic analysis, SI: pp. 41-50 (2017).

[28]. T. Hayat, M. Waqas, S. A. Shehzad and A. Alsaedi, “Effects of Joule heating and thermophoresis on stretched flow with convective boundary conditions”. Sci. Iranica B., Vol. 21, No. 3, pp. 682–692 (2014).

[34]. S. Jain and R. Choudhary “Soret and Dufour effects on MHD fluid flow due to moving permeable cylinder with radiation.” Global and stochastic analysis, SI: pp. 75-84 (2017).

[36]. S. Jain and A. Parmar, “Study of radiative heat transfer of nano-Williamson fluid flow through a porous medium”. Acta Technica, Vol. 62, No. 2, pp. 137–150 (2017).

[37]. S. Jain, V. Kumar and S. Bohra, “Entropy Generation for MHD Radiative Compressible Fluid Flow in a Channel partially filled with porous Medium”, Global and stochastic analysis, SI: pp. 13-31 (2017).

[43]. D. S. Chauhan and V. Soni, “Heat transfer in couette flow of a compressible Newtonian fluid with variable viscosity and Thermal conductivity in the presence of a naturally permeable boundary”. J. of ultra-scientist of Physical Sciences, Vol. 6, No. 1, pp. 24-29 (1994).

## Send comment about this article