Abstract
The paper investigates the process of pulsation of a spherical cavity (bubble) in a liquid under the influence of a source of ultrasonic vibrations. The pulsation of a spherical cavity is described by the Kirkwood-Bethe equations, which are one of the most accurate mathematical models of pulsation processes at an arbitrary velocity of the cavity boundary. The Kirkwood-Bethe equations are essentially non-linear, therefore, to construct solutions and parametric analysis of the bubble collapse process under the influence of ultrasound, a numerical algorithm based on the Runge-Kutta method in the Felberg modification of the 4-5th order with an adaptive selection of the integration step in time has been developed and implemented. The proposed algorithm makes it possible to fully describe the process of cavitation pulsations, to carry out comprehensive parametric studies, and to evaluate the influence of various process parameters on the intensity of cavitation. As an example, the results of calculating the process of pulsation of the cavitation pocket in water are given and the influence of the amplitude of ultrasonic vibrations and the initial radius on the process of cavitation of a single bubble is estimated.
Highlights
With a local decrease in pressure of the liquid to the pressure of saturated vapor, a process of formation of pockets or bubbles filled with vapor and gas occurs, which is called cavitation
The step value returns to the selected initial value [24,25,26]
A numerical solution algorithm based on the Runge-Kutta-Felberg method of 4-5th order with an adaptive selection of the integration step has been developed and implemented
Summary
Moscow Aviation Institute (National Research University), Department of Resistance of Materials Dynamics and Strength of Machines, Moscow, Russian Federation. Lomonosov Moscow State University, Institute of Mechanics, Moscow, Russian Federation. Dynamics of a spherical enclosure in a liquid during ultrasonic cavitation. Journal of Applied Engineering Science, 18(4), 681 - 686. Online aceess of full paper is available at: www.engineeringscience.rs/browse-issues
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
