Abstract

The present study explores the flow of nanofluid between a cone and a disk with the thermophoresis and Brownian motion impact. The flow is due to an expanding disk and a rotating cone. In the current study, radiative heat flux is considered. Using proper similarity transformations, the governing differential equations of momentum, temperature and concentration are transformed into a set of nonlinear ordinary differential equations (ODEs). The Runge-Kutta Fehlberg fourth fifth-order (RKF-45) technique and the shooting strategy are employed to solve the reduced ODEs. The impact of various parameters is illustrated through graphs and used to comprehend flow profile behaviour easily. The obtained results demonstrate that the velocity profiles enhance as improve in values of the Reynolds number. The rise in radiation, thermophoresis and Brownian motion parameters increases the thermal profile due to the potency of Brownian movement which results in a compelling nanoparticle interaction and boosts the fluid's thermal efficiency. Increasing values of the thermophoresis parameter reduces the heat transmission rate at the disk. As the Brownian motion parameter elevates, the concentration profile reduces, but the concentration profile increases as the thermophoresis parameter is raised.

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