Hovering Dynamics of Spheres in Upward Airflow: Key Influences and Applications

Abstract

The study investigates the hovering dynamics of spheres in upward airflow, focusing on key factors influencing their levitation characteristics. By conducting experiments with objects of varying mass, diameter, fluid velocity, and shape, the research aims to analyze the effects of these parameters on hovering height and stability. The levitation model is established through theoretical analysis, highlighting the equilibrium between drag force and gravity. Experiments involve the use of a hair dryer to generate upward airflow and track the motion of objects using Tracker software, capturing the levitation height and oscillation frequency under different conditions. Results indicate that increased mass reduces hovering height, while larger diameters enhance drag force, leading to higher levitation. The fluid velocity at the nozzle significantly impacts the hovering height, with higher speeds resulting in greater lift. Irregularly shaped objects exhibit unstable levitation due to asymmetric drag force distribution. The findings underline the importance of these factors in the stable hovering of objects and suggest potential applications in education, material classification, and fluid property testing. Future research is recommended to further explore the control and stability of levitating objects using advanced simulation techniques and control science methodologies.