Extreme Focusing of Energy during Shock Compression of the Vapor Bubble in Hydrocarbon Liquids


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Abstract

In this paper, we compare the features of the shock compression of 1-mm vapor bubbles and the nonsphericity growth during their collapse in hydrocarbon (acetone, benzol, and tetradecane) liquids. At the beginning of compression, the vapor is in a saturation state at 1.03 MPa, and the bubble collapse is caused by a liquid pressure of 5 MPa. It has been found that, during the collapse of the bubble in acetone, only weak compression waves occur in its cavity, while intense, radially convergent compression waves that transform into shock waves arise in the bubbles in benzol and tetradecane, which have a significantly greater molecular weight and, consequently, a lower speed of sound in the vapor. This leads to an extreme focusing of energy at the bubble center. A shock wave in tetradecane appears shortly after the onset of collapse, whereas a shock wave in benzol forms only during the reconvergence of the unstressed compression wave to the center of the bubble after its reflections from the center and the interface. As a result, the highest values ​​of thermodynamic parameters are achieved in tetradecane, while the lowest values are attained in acetone. The bubble nonsphericity is shown to increase by two orders of magnitude less in tetradecane than in acetone and benzol by the time it reaches the extreme values ​​of the thermodynamic parameters.

About the authors

R. I. Nigmatulin

Institute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences; Shirshov Institute of Oceanology, Russian Academy of Sciences

Email: top.dmtr@gmail.com
Russian Federation, Kazan, 420111; Moscow, 117997

A. A. Aganin

Institute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences; Mavlyutov Institute of Mechanics, Ufa Investigation Center, Russian Academy of Sciences

Email: top.dmtr@gmail.com
Russian Federation, Kazan, 420111; Ufa, 450054

M. A. Il’gamov

Institute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences; Mavlyutov Institute of Mechanics, Ufa Investigation Center, Russian Academy of Sciences

Email: top.dmtr@gmail.com
Russian Federation, Kazan, 420111; Ufa, 450054

D. Yu. Toporkov

Institute of Mechanics and Engineering, FRC Kazan Scientific Center, Russian Academy of Sciences

Author for correspondence.
Email: top.dmtr@gmail.com
Russian Federation, Kazan, 420111

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