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Chris 249 said...
Matthew, the definition I used comes from;
C.A. Marchaj; a scientist and author of "Aerohydrodynamics of Sailing" and other works and probably the best known authority on the physics of sailing;
The UK's National Physics Laboratory, in particular Tom Tanner's measurements of the drag and c of g of an International (sailing) Canoe hull;
An America's Cup designer with a Masters from MIT;
Larsson and Eliasson's yacht design book and/or Pierre Gutelle's similar work;
An academic from an Oz university, well known worldwide for his ship and small-craft velocity prediction work and towing tank studies;
I'll take those guys above Wiki any day.
Wikipedia provides a laymens definition - if you really want to explain it using physics, lets start another thread and do that.
Just about everyone of these texts describes big-hull boats, where 'big' means efficient displacement-mode sailing for low speeds; they also optimise hull shape so that the displacement-to-planing transition hump is minimised -> some of the mathematics applies to windsurfing displacement hulls, some to planing hulls. In particular, most windsurfing boards are designed for planing efficiency (at its suggested wind range), while ignoring sub-planing conditions and ignoring the transition hump.
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I have boats and boards where the bow overhangs the bow wave all the time....sometimes the bow wave is further back (when the board or boat is moving fast). Does that mean the craft has "overtaken" its bow wave?
You are taking a simple description out of context - its usually the center of displacement that needs to overtake the bow wave, but even that is not accurate for super-tankers.
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The whole "lifted above its bouyancy" thing is that a hull, when stationary, is supported only by buoyancy ie Archimedes.
sure - but buoyancy is a constant relative to volume, mass, water density, etc -> it doesn't magically change when you start moving, aka it isn't lifted above its buoyancy, rather "it has a buoyancy". However once moving, other forces are exerted on the hull as you say...
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When it starts moving, a hull creates waves along the centre of hull, which gradually reduce in number and increase in size as the speed increases to Fn 1.34. The presence of these waves reduces the immersed volume of the centre section of the hull, causing the boat to sink lower in the water. This "squat" is very noticeable in a heavy boat towed fast. The effect is that once a boat starts moving, it tends to actually sink lower in the water; the centre of gravity sinks.
Center-of-gravity is determined by mass/volume distribution - its cant "sink", as it is unrelated to fluid density, etc. Maybe you are thinking that the relative displacement of water-height along the hull, which will vary so that the center of the hull has a higher draft, than the bow or stern?
A boat not only creates waves at/on the center of the hull, but also fore and aft. The correlation of wave position, relative to hull length, is what causes the center of hull to appear deeper in the water. If the half of the wavelength of the wave, were in sync with the length of the hull (which occurs during the displacement-to-planing transition), the draft would definitely increase. **
** For those reading this far, this is why pumping (on a windsurfer) works so well - not only are you increasing thrust, but you are also changing the wave distribution along the hull's length (and changing other stuff too, which helps overcome the transition hump)
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A planing hull is, however, lifted (ie the centre of gravity rises once more) because of dynamic lift as it gains speed. The C of G then rises and eventually rises above the level it was when the hull was stopped. From then on, according to this well known definition, the hull is planing.
This drop in C of G is well illustrated by the Tanner tests, for instance, and by practical experience in craft that don't plane.
All craft plane, when enough thrust is applied.
The COG doesn't lift -> COG is the center-of-mass in a uniform gravitational field, say the earth. We could take a board on a spaceship the COM is still the same, ie: the COG (aka COM) doesn't change with density/speed/etc.
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Other definitions, like "you are riding only on dynamic lift" don't really apply as every craft displaces some water and therefore there is some element of bouyant lift. Planing theory guru Dan Savitsky of the Stevens Institute says this is true even in a flat plate, and Jim Drake say that this is true for a Formula board.
agreed - although I have seen slowboat pushing 47+..... the board wasn't touching the water some of the time!
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However, as renowned skiff designer Julian BEthwaite says, planing is a complicated and messy area and the more you look into it, the more you realise how complicated it all is.
amen brother... thats why for the simple wikipedia quote.
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In longboards, the move onto the plane is normally so subtle that it would be almost impossible to work out just where it starts IMHO.
yep - long boards show their heritage with yachts where it the transition bump is (maybe completely?) minimised.