Thermodynamic Study of Hybrid Nanofluid to Explore the Radial Effects of Water-Based Nanoparticles Between Two Narrowly Flat Disks
摘要
This study investigates the laminar, radial, fully developed flow of a hybrid nanofluid between two flat disks under the influence of a magnetic field and thermal radiation. The hybrid nanofluid consists of copper (Cu) and alumina (Al₂O₃) nanoparticles suspended in a water-based fluid. Radial flow between parallel disks is significant in various industrial and engineering applications, particularly in heat and mass transfer systems. This research provides new insights into such flows, potentially enhancing industrial applications that utilize hybrid nanofluids for improved thermal performance. Analytical solutions for the velocity field, considering both accelerating and decelerating flows, are derived using complete and incomplete Jacobi elliptic functions of the first kind. The results indicate that the maximum velocity occurs at the central region between the disks and gradually decreases toward the disk surfaces. Streamlines are plotted to visualize the velocity distribution, revealing that velocity decreases with an increasing pressure gradient but increases with a stronger magnetic field. An exact solution for the fluid temperature is also obtained, illustrating the effects of thermal radiation and heat source parameters. The findings show that temperature rises with the heat source parameter but decreases with stronger thermal radiation. Additionally, the study examines the impact of the magnetic field and pressure gradient on the torque exerted on both disks. The results demonstrate that increasing these parameters leads to higher torque, which is relevant for applications requiring precise control of rotational resistance, such as magnetic brakes and precision engineering systems.