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High-speed Liquid Impact on a Liquid Surface and a Wetted Wall

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Abstract

The high-speed liquid impact on a dry wall is known to result in appearance of a shock wave propagating up the impacting liquid from the wall. In the first stage this wave remains attached to the wall whereas in the second stage it detaches from the wall, leading to lateral jetting of the liquid compressed by the shock wave. In the first stage the pressure maximum on the wall, just like the extremes of other impact characteristics (the compressed liquid velocity, the shock wave slope, etc.), is attained at the shock wave edge. In the course of the first stage this maximum grows although in the second stage its magnitude gradually decreases. In the present work, the pressure maxima and the extremes of other compressed liquid characteristics achieved in the course of the first stages of liquid impact on a liquid surface and a wall wetted by a thin liquid film are studied, using known Heymann’s theory (J. Appl. Phys. 40, 1969) originally devoted to the liquid impact on a dry wall. Corresponding algebraic expressions for the compressed liquid characteristics at the impact area edge in the course of the first stage of liquid impact on a liquid surface and a wetted wall are derived. A variant with water as the involved liquids has been considered in detail. It is found that the impact characteristics in the case of impact on a liquid surface under the impact Mach number up to 1 are quite close to their values in the case of impact on a dry wall with half the impact angle and half the Mach number. In the case of a wall wetted with a very thin liquid film, the impact characteristics are close to those for a dry wall. It is shown that the derived expressions for the impact characteristics are useful for construction of the shock wave fronts during the first stage of liquid impact onto a liquid and a wetted wall.

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Funding

The present study was supported by the Russian Science Foundation (grant no. 21-11-00100). The author is thankful to Dr. T.S. Guseva for performing numerical calculations and helpful discussions.

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  1. Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences, 420111, Kazan, Russia

    A. A. Aganin

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Correspondence to A. A. Aganin.

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(Submitted by A. M. Elizarov)

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Aganin, A.A. High-speed Liquid Impact on a Liquid Surface and a Wetted Wall. Lobachevskii J Math 43, 2029–2045 (2022). https://doi.org/10.1134/S1995080222110038

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