Numerical solution of Al2O3–H2O with shape effects and unsteady flow over a solid rotating disk

Author:

Rahman Muhammad1,Turkyilmazoglu Mustafa23ORCID,Bilal Muhammad1

Affiliation:

1. Department of Mathematics, Mirpur University of Science and Technology, Mirpur AJ&K 10250, Pakistan

2. Department of Mathematics, Hacettepe University, 06532-Beytepe, Ankara, Türkiye

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404327, Taiwan

Abstract

In this paper, we examine the shape effects of different nanoparticles of an incompressible, unsteady flow of a nanofluid [Formula: see text] with water [Formula: see text] as the base fluid over a rotating disk. Magnetic field results are also added. In this research, four distinct shapes of [Formula: see text] nanoparticles, i.e., sphere, blade, cylinder and brick, have been employed. Every shape is suspended at the same volume. After using the Von Karman transformation, the Navier–Stokes equation, along with the magnetic field effect and the thermal energy equation, is numerically solved by using the bvp4c MATLAB solver. The effects of various parameters on the velocity field and temperature profile are illustrated graphically. This analysis is validated by comparing it to the previously described research. Furthermore, increasing the volume fraction parameter [Formula: see text] causes the radial, tangential, and axial velocities near the disk for the shapes brick, cylinder, and blade to decrease and increase for the shape sphere. The fluid rotating in front of the disk rotates more slowly for small values of the unsteadiness parameter [Formula: see text]. The magnetic field M has a significant influence on the axial flow when the suction parameter values are small, but this impact is limited when the suction parameter values are large.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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