Chemically Reactive Darcy- Forchheimer Flow of Cross Fluid by an Inclined Plate with Heat Source

Document Type : Primary Research paper

Authors

1 Research Scholar, Department of Mathematics, JNTUH College of Engineering, JNTU Kukatpally, Hyderabad - 500085, Telangana, India.

2 Department of Mathematics, Matrusri Engineering College, Saidabad, Hyderabad – 500059, Telangana, India.

3 Department of Mathematics, JNTUH College of Engineering, JNTU Kukatpally, Hyderabad - 500085, Telangana, India.

Abstract

In this study, we investigated a dissipative Darcy-Forchheimer flow of
Cross fluid over an inclined plate with chemical reaction. Appropriate similarity
transformations are used to convert governing equations as a set of ordinary
differential equations. Transmuted equations are solved with the combination of
shooting and Runge-Kutta fourth order procedures. Important results are
elucidated using graphs. We observed that magnetic field parameter diminishes
fluid velocity and skin friction coefficient. It is detected that the raise in Eckert
number and heat source parameters leads to enhance the fluid temperature. And
also, it is observed that the fluid velocity minifies with the raise in Forchheimer
number and porosity number. Further, we noticed that the Schmidt number and
chemical reaction parameters are useful to enhance to the mass transfer rate.

Keywords