Thermally radiative flow of Maxwell nanofluid over a permeable rotating disk

Abstract

Rotating flow is critically important across a wide range of scientific, engineering and product applications, providing design and modeling capability for diverse products such as jet engines, pumps and vacuum cleaners, as well as geophysical flows. In this paper, the conventional von Kármán swirling flow is extended for Maxwell fluid in which the rotating disk surface allows the impact of uniform suction/injection. The nanofluid behavior is described by the Buongiorno's model that include the influence of Brownian motion and thermophoresis. The occurrence of nonlinear radiation during the heat transfer process is considered. Inside the framework of proper transformations, a dimensionless system of ordinary differential equations is obtained which is computed numerically with bvp4c scheme in Matlab. It is perceived that enlarging value of viscosity parameter results in lessening the velocities in radial and angular directions. Moreover, the influences of Brownian motion and thermal radiation parameters are particularly beneficial to rise the temperature of fluid. Further, the rate of mass transfer rises significantly with thermophoresis parameter.