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equations for the shape of a splash?

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shoes6

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Oct 1, 2012, 5:37:19 PM10/1/12
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Can someone point me to equations that describe the shape of a splash?

In case the word "splash" is too vague, you may refer to the picture at
http://thumbs.dreamstime.com/thumblarge_376/1237357811d05M4k.jpg
as one example.

Surely some differential equations give a rough approximation; and some chaos theory applies, also.

Thank you for all replies.

Ted Shoemaker

jfh

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Oct 7, 2012, 8:48:16 PM10/7/12
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This is a complicated subject. See for example

Levin & Hobbs, Phil.Trans.A269, 555-585, 1971, Splashing of water drops on solid and wetted surfaces...

Siscoe & Levin, J.Geophys.Res. 76, 5112-5116,1971 Water-drop-surface-wave interactions

Fukai et al. Phys.Fluids A5,2588-2599, 1993 Modeling of the deformation of a liquid droplet impinging on a flat surface

Those 3 are all about drops falling onto liquid or solid surfaces. No doubt there are lots of references on solid bodies falling into liquids.

John Harper
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