Analysis of forced convection phenomenon in boundary layer flow of nanofluid over power-law rotating disk

Abstract

In this paper, the thermal analysis is performed on the three-dimensional flow of viscous nanofluid over a rotating disk. The disk rotation is assumed as of the form [Formula: see text] where [Formula: see text], thus, there are different azimuthal velocities of the disk at different radii, and it increases with the increase in [Formula: see text]. Also, the effect of nanoparticles on the thermal conductivity of fluid is investigated by thermophoresis and Brownian motion features. For the governing problem, suitable similarity transformations are employed that convert the produced partial differential equations to ordinary differential equations. The flow field and energy transport are presented graphically and discussed in detail for the torsional exponent [Formula: see text], [Formula: see text] and [Formula: see text], respectively. It is noted that the temperature and concentration profile rise for the thermophoresis parameter while the opposite trend showed for Brownian motion. Moreover, the power-law index parameter [Formula: see text] declines the flow field temperature and concentration profiles.