Force Transmission Caused by Water Flow during Collisions Using Water as a Medium
Journal: Journal of Higher Education Research DOI: 10.32629/jher.v5i6.3249
Abstract
This study explores the mechanism of force transmission caused by water flow during collisions using water as a medium. By establishing a theoretical model and conducting systematic experiments, the study investigates the effects of factors such as water volume and release height on the rebound height of a ping-pong ball. A mathematical model incorporating fluid dynamics and air resistance was developed, and its validity was verified through CFD simulations and high-speed photography. Experimental results show that when the water volume reaches approximately 310 ml, further increases in water volume have minimal effect on rebound height, thereby confirming the "infinite water depth" assumption. A linear relationship was observed between release height and post-collision velocity, with an empirical constant of approximately 4.31. The study also observed high-speed jet phenomena similar to the "Pokrovsky experiment". This research provides new insights into the mechanism of force transmission by water as a medium during collision processes.
Keywords
water medium; collision process; force transmission
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[2]Lavrentiev, M. & Chabat, B. 1980 Effets hydrodynamiques et mod`eles math´ematiques. Editions MIR, translated from the 1977 Russian edition.
[3]Knight, R. C. 1936 The potential of a sphere inside an infinite circular cylinder. Quart. J.Math. (Oxford series) 7, 124-133.
[4]Cooker, M. J. & Peregrine, D. H. 1995 Pressure-impulse theory for liquid impact problems. J. Fluid Mech. 297, 193-214.
[5]A. Antkowiak, N. Bremond, S. Le Dizès, E. Villermaux. Short-term dynamics of a density interface following an impact. J. Fluid Mech. 577 (2007), p. 241-250.
[6]S. Rubinow, J. B. Keller. Wave Propagation in a Fluid-Filled Tube. J. Acoust. Soc. Am. 50 (1971), no. 1B, p. 198-223.
[7]José M. Gordillo and Francisco J. Blanco-Rodríguez. Theory of the jets ejected after the inertial collapse of cavities with applications to bubble bursting jets.Phys. Rev. Fluids 8, 073606 – Published 26 July 2023.
[8]José Manuel Gordillo, Hajime Onuki, Yoshiyuki Tagawa. Impulsive generation of jets by flow focusing. Journal of Fluid Mechanics, Volume 894, 10 July 2020, A3.
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