Impact of a drop on a solid surface

Gonor, A. L.; Yakovlev, V. Ya.

doi:10.1007/bf01050494

Cited by 5 publications

(3 citation statements)

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“…For E = 0.01 we find H > 1.7 in the plane case and H 2 1.1 in the axisymmetrical one. This problem has been the subject of intensive numerical studies (see Glenn 1974;Huang, Hammitt & Yang 1973;Hwang & Hammitt 1977;Gonor & Yakovlev 1977;Surov & Ageev 1989) in connection with the erosion of rigid surfaces by drop impact. The erosion is a complex phenomenon which essentially depends on the geometries of both the liquid drop and the impacted boundary.…”

Section: A Zmentioning

confidence: 99%

“…However, the corresponding formulae in the forms presented cannot be directly used for numerical calculations and further work is required. In particular, we cannot now compare the results given by the acoustic theory with many numerical simulations of the impact of a compressible liquid cylinder on a rigid boundary (Glenn 1974;Hwang & Hammitt 1977;Gonor & Yakovlev 1977;Pidsley 1982;Surov & Ageev 1989). A local description of the jet impact was given by Frankel (1990) and Veklich (1990) for the plane case.…”

Section: Introductionmentioning

confidence: 99%

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Global characteristics of jet impact

Korobkin

1996

J. Fluid Mech.

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This paper is concerned with the impact of a jet of arbitrary cross-section onto a rigid plane. At the initial stage of the impact the liquid motion is described within the framework of the acoustic approximation. Behind the shock front which is generated under the impact, the pressure distribution is calculated analytically for an arbitrary cross-section of the jet. It is shown that a quarter of the total impact energy transfers into the internal energy of the compressed liquid. The focusing of the compression and relief waves in the axisymmetrical case is discussed.

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Section: A Zmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Global characteristics of jet impact

Korobkin

1996

J. Fluid Mech.

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“…We will establish the existence and uniqueness of the compressible impinging jet in axially symmetric case, and solve the open problem (5) pointed out by A. Friedman. Many numerical simulations of the impact of a compressible flows from a cylinder on a rigid wall are referred to [GE,GY,KO,SW,Ve1].…”

mentioning

confidence: 99%

Existence and uniqueness of axially symmetric compressible subsonic jet impinging on an infinite wall

Cheng

Li²,

Zhang

2020

Preprint

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This paper is concerned with the well-posedness theory of the impact of a subsonic axially symmetric jet emerging from a semi-infinitely long nozzle, onto a rigid wall. The fluid motion is described by the steady isentropic Euler system. We showed that there exists a critical value M cr > 0, if the given mass flux is less than M cr , there exists a unique smooth subsonic axially symmetric jet issuing from the given semi-infinitely long nozzle and hitting a given uneven wall. The surface of the axially symmetric impinging jet is a free boundary, which detaches from the edge of the nozzle smoothly. It is showed that a unique suitable choice of the pressure difference between the chamber and the atmosphere guarantees the continuous fit condition of the free boundary. Moreover, the asymptotic behaviors and the decay properties of the impinging jet and the free surface in downstream were also obtained. The main results in this paper solved the open problem on the well-posedness of the compressible axially symmetric impinging jet, which has proposed by A. Friedman in Chapter 16 in [FA2]. The key ingredient of our proof is based on the variational method to the quasilinear elliptic equation with the Bernoulli's type free boundaries.

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2021

Blood Traces

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Impact of a drop on a solid surface

Cited by 5 publications

References 9 publications

Global characteristics of jet impact

Global characteristics of jet impact

Existence and uniqueness of axially symmetric compressible subsonic jet impinging on an infinite wall

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