Analysis of MHD Squeezing Flow and Radiative Heat Transfer of Ethylene Glycol-Based Magnetite Nanofluid Between Parallel Disks by Chebyshev Pseudo-Spectral Method

Abstract

This study presents a theoretical investigation of the magnetohydrodynamic (MHD) flow and heat transfer characteristics of an ethylene glycol (C₂H₆O₄)-based nanofluid containing magnetite (Fe₃O₄) nanoparticles confined between two parallel disks undergoing squeezing motion, incorporating the effects of an applied magnetic field and thermal radiation. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. The resulting boundary value problem is then evaluated. numerically using the Chebyshev Pseudo-Spectral Method (CPSM) to obtain highly accurate solutions. The analysis focuses on the velocity and temperature distributions, skin friction coefficient, and Nusselt number for various physical parameters such as magnetic field strength, nanoparticle volume fraction, radiation parameter, and squeezing effect. The results demonstrate that the applied magnetic field significantly influences the flow behavior, while increasing the concentration of magnetite nanoparticles enhances the heat transfer rate and surface skin friction. These findings confirm the potential of magnetite-enhanced ethylene glycol nanofluids for improved thermal performance in advanced heat transfer systems.