Hydromagnetic peristaltic motion of a reacting and radiating couple stress fluid in an inclined asymmetric channel filled with a porous medium

Abstract

The aim of the present attempt was to investigate the hydromagnetic peristaltic motion of a reacting and radiating couple stress fluid in an inclined asymmetric channel filled with a porous medium. The governing equations for the flow with heat and mass transfer are presented. The Mathematical modeling is investigated by utilizing long wavelength and low Reynolds number assumptions. The exact solution has been evaluated for the stream function, velocity, temperature, concentration and pressure gradient. The pressure rise solution has been simplified using numerical integration. The effects of Hartmann number, Darcy number, thermal Grashof number, couple stress parameter, thermal radiation parameter, species Grashof number, heat generation parameter, inclination angle and chemical reaction parameter on the velocity characteristics, heat and mass transfer characteristics and pumping characteristics are presented through graphically and discussed in detail.

Keywords

• Thermal radiation
• MHD
• Velocity slip
• Peristaltic flow
• Couple stress fluid
• Chemical reaction