The Effect of Heat and Mass Transfer on Unsteady MHD Nanofluid Flow Through Convergent-Divergent Channel

Abstract

This paper investigates the effects of heat and mass transfer on unsteady MHD Nanofluid flow (silver-water) through convergent-divergent channel. The governing equations of this study are non-linear partial differential equations and these partial differential equations were reduced to ordinary differential equations. The resulting non-linear ordinary differential equations have been reduced to a system of first order of ordinary differential equations and solved using collocation method via the bvp4c in MATLAB. It is found that the nanoparticle volume fraction reduces the velocity of the fluid for silver nanoparticle in the case of divergent channel. For a convergent, the increase in the volume fraction increases the velocity. Stretching divergent channel increases the flow near the walls of the channel. Shrinking convergent channel reduces the velocity of the fluid near the walls of the channel. The Grashof number increases the temperature in divergent channel and reduces the temperature in convergent channel. The Eckert number increases temperature of the fluid for all the cases. The heat generation parameter increases the velocity and temperature for both convergent and divergent channel. The heat generation parameter decreases the concentration of Nanofluid flow for both divergent and convergent. This kind of Nanofluid flow has a variety of applications such as the transportation of chemotherapy drug directly to cancerous growth as well as to deliver drugs to areas of arteries that are damaged in order to fight cardiovascular diseases.