MHD flow of generalized Casson fluid with radiation and porosity under the effects of chemical reaction and arbitrary shear stress

Abstract

This recent research article is presented to describe the mass and heat transference in a non-Newtonian Casson fluid, flowing in a medium having porosity. The magnetic-hydrodynamic and exponential heating effects are considered during the fluid flow. The effects of radiation and molecular diffusivity i.e. chemical reaction are investigated with slip boundary condition and exponential heating. The stated problem is patterned by three partial differential equations of classical order with suitable initial and boundary conditions. The component equations of the problem are converted into a non-dimension form by introducing some suitable dimensionless parameters. The partial differential equations PDE’s of classical order are converted into non-integer order by using the non-integer order derivative proposed by Michele Caputo and Mauro Fabrizio. The technique of Laplace transform is used for obtaining the problem’s solutions. Obtained solutions are graphically represented to observe the effects of different parameters on velocity, mass and temperature during fluid flow. The software MathCAD is used for the visualization of the effects.