Generalized vortex flow of nanoparticle shapes over a permeable disc surface with generalized slip conditions

Abstract

This paper investigates the generalized vortex flow of nanofluid consisting of titanium dioxide (TiO₂) with base fluid (H₂O) over a permeable disk surface that generates a heat transfer process in the thermal boundary layer of the disk. Four types of non-spherical shapes of nanoparticles (blade, brick, cylinder and platelet) are considered for the research. The motion is produced when the fluid is far from the disk surface and rotates like a solid body with a constant angular velocity $\mathrm{\Omega }$. The partial differential equations (PDEs) are obtained using boundary layer approximations and then converted into ordinary differential equations (ODEs) using suitable similarity transformations. These nonlinear ODEs are solved using the bvp4c MATLAB solver. The effect of different parameters (n, A, $\alpha$, $\varphi$, R and Pr) on the velocity components and temperature profile is shown graphically and in tabular results. This analysis concludes that for all non-spherical shapes, the velocity spectrum of all nanoparticles decreases when the values of factors such as power-law, suction, volume fraction and slip parameter increase. All non-spherical shapes of a nanofluid experience a decrease in fluid temperature due to the Prandtl number, while radiation numbers have the opposite effect.