Oblique impact of a smooth body on a thin layer of inviscid liquid


== Abstract ==

The two-dimensional motion of a rigid body with a smooth surface is studied during its oblique impact on a liquid layer. The problem is coupled: the three degrees of freedom of the moving body are determined together with the liquid flow and the hydrodynamic pressure along the wetted part of the body surface. The impact process is divided into two temporal stages. During the first stage, the wetted region expands at a high speed with jetting flows at both ends of the wetted region. In the second stage, the free surface of the liquid is allowed to separate from the body surface. The position of the separation point is determined with the help of the Brillouin–Villat condition. Calculations are performed for elliptic cylinders of different masses and with different orientations and speeds before the impact. The horizontal and vertical displacements of the body, as well as its angle of rotation and corresponding speeds are investigated. The model developed remains valid until the body either touches the bottom of the liquid or rebounds from the liquid.


== Original document ==

The different versions of the original document can be found in:

* [http://dx.doi.org/10.1098/rspa.2012.0615 http://dx.doi.org/10.1098/rspa.2012.0615]

* [http://dx.doi.org/10.1098/rspa.20120615 http://dx.doi.org/10.1098/rspa.20120615]

* [https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2012.0615 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2012.0615]

* [https://core.ac.uk/display/19086154 https://core.ac.uk/display/19086154],
: [https://royalsocietypublishing.org/doi/10.1098/rspa.2012.0615 https://royalsocietypublishing.org/doi/10.1098/rspa.2012.0615],
: [https://rspa.royalsocietypublishing.org/content/469/2151/20120615 https://rspa.royalsocietypublishing.org/content/469/2151/20120615],
: [https://ueaeprints.uea.ac.uk/43180 https://ueaeprints.uea.ac.uk/43180],
: [https://ui.adsabs.harvard.edu/abs/2013RSPSA.46920615K/abstract https://ui.adsabs.harvard.edu/abs/2013RSPSA.46920615K/abstract],
: [https://academic.microsoft.com/#/detail/1988758758 https://academic.microsoft.com/#/detail/1988758758]

* [https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2012.0615 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2012.0615],
: [https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2012.0615 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2012.0615],
: [http://dx.doi.org/10.1098/rspa.2012.0615 http://dx.doi.org/10.1098/rspa.2012.0615] under the license https://royalsociety.org/journals/ethics-policies/data-sharing-mining/



DOIS: 10.1098/rspa.2012.0615 10.1098/rspa.20120615