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Sep 11, 2012 at 19:47 comment added Jaime I did not get too far with the hydraulic jump thing... My only contribution after about a quarter of an hour of juggling with the equations is that exit speed from the side of the tire, and therefore probably spray behavior, grows with the width of the tire, as there is more fluid to be evacuated through the same side area.
Sep 11, 2012 at 18:23 comment added John Rennie Agreed, a hydraulic jump is a better model than a wave, though I note that none of the examples in the Wikipedia article are high velocity enough to generate the spray you get fom a car tyre. If you can post a calculation of the spray distance in a hydraulic jump I'd be very intrested to se it.
Sep 11, 2012 at 18:13 comment added Jaime Your simple model of how water is thrown outwards seems very plausible, but I think that, rather than wave breaking, you want to look at the hydraulic jump <en.wikipedia.org/wiki/Hydraulic_jump>. That would allow you to get some numbers, which may (or may not) have some realtion to the OP's question. I'll try to sketch a solution during lunch, if no one else does before...
Sep 11, 2012 at 9:31 history edited John Rennie CC BY-SA 3.0
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Sep 11, 2012 at 9:21 history answered John Rennie CC BY-SA 3.0