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A novel numerical scheme for the investigation of surface tension effects on growth and collapse stages of cavitation bubbles
Authors:Ehsan Samiei  Mehrzad Shams  Reza Ebrahimi
Institution:1. Faculty of Mech. Engng., K.N. Toosi University of Tech., Pardis St., Vanak Sq., Tehran 19395-1999, Iran;2. Faculty of Aerospace Engng., K.N. Toosi University of Tech., East Vafadar St., Tehranpars Ave., Tehran 16765-3381, Iran;1. Department of Marine Mechanical Engineering, ROC Naval Academy, Taiwan, ROC;2. Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua, Taiwan, ROC;3. Hsiuping University of Science and Technology, Taichung, Taiwan, ROC;1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi''an, PR China;2. Department of Naval Architecture Ocean and Marine Engineering, University of Strathclyde, Glasgow, United Kingdom;1. Department of Mechanical Engineering, Bonab Branch, Islamic Azad University, Bonab, 5551785176, Iran;2. Department of Mechanical Engineering, Urmia University of Technology, Urmia, Iran
Abstract:In the present study the effects of surface tension on the growth and collapse stages of cavitation bubbles are studied individually for both spherical and nonspherical bubbles. The Gilmore equation is used to simulate the spherical bubble dynamics by considering mass diffusion and heat transfer. For the collapse stage near a rigid boundary, the Navier–Stokes and energy equations are used to simulate the flow domain, and the VOF method is adopted to track the interface between the gas and the liquid phases. Simulations are divided into two cases. In the first case, the collapse stage alone is considered in both spherical and nonspherical situations with different conditions of bubble radius and surface tension. According to the results, surface tension has no significant effects on the flow pattern and collapse rate. In the second case, both the growth and collapse stages of bubbles with different initial radii and surface tensions are considered. In this case surface tension affects the growth stage considerably and, as a result, the jet velocity and collapse time decrease with increasing surface tension coefficient. This effect is more significant for bubbles with smaller radii.
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