Jet Impact During Bubble Collapse Near a Local Bump on a Solid Wall

IF 0.8 Q2 MATHEMATICS Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602194
T. S. Guseva
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Abstract

The jet impact process during the nonspherical bubble collapse near a local bump on a solid wall has been studied in detail using the CIP-CUP method to solve the Euler equations. Three scenarios were considered, the first of which corresponds to a nearly plane wall compared to the bubble size, and the other two correspond to the bubble-sized local bump. In all cases, the distance from the impact location to the wall and the jet tip diameter are close, the jet velocity is about 100 m/s. The main difference between the considered scenarios is the initial zone of contact of the jet with the opposite bubble side. Namely, it is a single point in the first case, and in the other two cases it is a bowl-shaped area and an annular area with the formation of a tip bubble. The latter two scenarios have been found to result in significantly higher wall pressure, as well as larger loaded area and load duration.

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固体壁上局部凹凸附近气泡坍塌过程中的喷流冲击
摘要 采用 CIP-CUP 方法求解欧拉方程,详细研究了固体壁上局部凸起附近非球形气泡坍塌时的射流冲击过程。研究考虑了三种情况,第一种情况是与气泡大小相比几乎是平面的墙壁,另外两种情况是气泡大小的局部凸起。在所有情况下,撞击位置到墙壁的距离和射流尖端直径都很接近,射流速度约为 100 米/秒。所考虑情况的主要区别在于射流与对面气泡侧的初始接触区。也就是说,在第一种情况下,它是一个单点,而在另外两种情况下,它是一个碗形区域和一个形成尖端气泡的环形区域。研究发现,后两种情况会导致更高的壁压,以及更大的负载面积和负载持续时间。
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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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