Significance of nanoparticles' shape and thermo-hydrodynamic slip constraints on MHD alumina-water nanoliquid flows over a rotating heated disk: The passive control approach

Abstract

This work aims at the numerical exploration of the hydromagnetic alumina –water nanoliquid flow due to a rotating rigid disk. The nanoliquid flow considering different nanoparticle shapes (namely sphere, platelet, cylinder, and brick) and the thermo-hydrodynamic slip constraints have been modeled utilizing the two-phase modified Buongiorno model (MBM). MBM modifies the conventional two-phase Buongiorno model by additionally considering the volume fraction-dependent nanoparticle properties. The present study is relevant in both engineering and industrial fields like aerodynamics, spin coating, extrusion process, etc. Von Kármán's similarity transformations are exercised in the transmutation of the mathematically modeled equations into a system of first-order ODEs and treated numerically using the generalized differential quadrature method. The consequence of pertinent parameters on the physical quantities and the flow profiles are explained with the aid of tables and graphs. It is observed that the nanoliquid temperature increases with the hydrodynamic slip parameter and decreases with the thermal slip parameter. Further, it is noted that the highest drag is exhibited by platelet-shaped alumina nanoparticles.