Stagnation point flow of Maxwell nanofluid over a permeable rotating disk with heat source/sink

Abstract

In this paper, rotational stagnation-point flow of Maxwell nanofluid over a porous radially stretching/shrinking rotating disk is studied. An innovative revised Buongiorno's nanofluid model is used to track the thermophoresis and Brownian movement of the nanoparticles. The influence of variable thermal conductivity and heat source/sink is deliberated on nanofluid heat transfer features. Von Kármán similarity variables have been utilized to obtain the system of nonlinear ordinary differential equations (ODE's) comprising of continuity, momentum, energy and concentration equations. A built-in numerical procedure bvp4c is implemented for the numerical integration of the governing nonlinear problem. The results for the flow problem have been executed for the several physical parameters like rotation parameter, stretching/shrinking parameter, velocity ratio parameter, thermal conductivity parameter, suction/injection parameter, thermophoresis and Brownian motion parameters, heat source/sink parameter, Prandtl and Schmidt numbers. Based on the obtained results, it is evident that the radial velocity becomes higher with increasing value of velocity ratio parameter while an opposite trend is noticed for azimuthal velocity. Further, the heat transfer rate increases with decreasing value of thermophoresis parameter.