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

In this paper, we examine the shape effects of different nanoparticles of an incompressible, unsteady flow of a nanofluid Al2O3 with water H2O as the base fluid over a rotating disk. Magnetic field results are also added. In this research, four distinct shapes of Al2O3 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 0 & LE;f & LE;0.1% 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 a. 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.