Title: | SAILING |
Notice: | Please read Note 2.* before participating in this conference |
Moderator: | UNIFIX::BERENS |
Created: | Wed Jul 01 1992 |
Last Modified: | Mon Jun 02 1997 |
Last Successful Update: | Fri Jun 06 1997 |
Number of topics: | 2299 |
Total number of notes: | 20724 |
Can someone tell me how the maximum theoretical speed of a sailboat can be calculated? are there formulas taking into account parameters such as length, Cx, sails surface, wind speed weight, etc to evaluate performance? I will be interested to apply them to my Jou�t 6.50. Thanks, Arnaud
T.R | Title | User | Personal Name | Date | Lines |
---|---|---|---|---|---|
1919.1 | 1.34x sq root LWL | BAHTAT::BOYLE | John boyle @RKG Royal Kingdom of Geordieland! | Thu Aug 27 1992 10:25 | 8 |
According to Practical Boat Owner magazine here in UK. The maximum hull speed of a displacement (non planing) hull is given by the formula 1.34 x Square root of length at waterline = knots Regards John | |||||
1919.2 | theory behind formula? | ULYSSE::JOUSSE | Thu Aug 27 1992 12:20 | 13 | |
This formula would give: 20 feet -> 6 knots 30 feet -> 7.4 knots 55 feet -> 9.8 knots expensive to gain knots! what is the physical theory behind the formula? is it related to wave length/ frequency/ wave speed on water? do you know for which size range this formula is reliable? what about calculation when planing? thanks. | |||||
1919.3 | some theory to explain the effect | POWDML::SPENCER_J | Thu Aug 27 1992 14:42 | 50 | |
Coupla" additional comments: 1.34 is not a magic number. It is a coefficient, and is subject to other factors. Many texts give the number as a range, perhaps from 1.2 to 1.45 or so. Certain design specifics can "fool" the formula. It is related to the wavelength vs. speed curve of water. The longer the wavelength, the faster the waveform travels, by the same formula. When you are in displacement mode (moving water away from and around the hull rather than planing, which is skimming over it without substantially moving it out of the way at all), you are limited by the speed of a waveset you create. This waveset has the leading crest right at the bow and the following crest right at the stern--hence the reason for using LWL in the calculation. If you pour on more power to go faster, depending on your hull type, one of two basic things happens: 1) Displacement hull: You start trying to move up the back of the wave in front, and to outdistance the trailing wave. But since your power is producing that following wave, the faster you try to go, the more you have to haul around. The power to speed curve starts turning vertical. Additionally, most true displacement hulls, especially double-enders, will try to bury their sterns. Water moved aside by the bow needs to "come back together" to fill in behind the stern, and in effect one gets a real suction there. I've seen a 30' double ended whaleboat-type bring water in over the stern when it was towed at 12 knots (briefly!). At 7 knots, everything was hunky-dory (so to speak.) 2) Planing hull: This type is designed to handle enough power to get past the point of pushing "uphill" on the leading wave, to break the hullform resistance and overcome the skin friction, and to accelerate well beyond the speed of the wave it produces. It virtually requires a sharp trailing edge to induce clean separation of the water from the hull, to avoid the above-mentioned suction problem.As most of you know, it takes far more power to get onto a plane than it does to maintain one after getting there. The dynamics of the transition state (loosely referred to often as "semi-displacement") are mushy and complex; designers of quite a few large power cruisers (35' and up) have worked to exploit this performance region, with quite varied success. BTW, that bulb you see (hear about) protruding from the pow of most every freighter, tanker and cruise ship? It's intended to "fool" the water by setting up a pressure wave which begins the forward wave earlier, thus lengthening the *effective* LWL, which in turn gives a higher speed (tenths of a knot, which is a lot to those guys in terms of fuel savings) for the same power. John. | |||||
1919.4 | Wave length | ULYSSE::JOUSSE | Fri Aug 28 1992 10:36 | 24 | |
From: SALEM::GILMAN "JUST CALL ME SKIPPY" 27-AUG-1992 17:48:15.40 To: ULYSSE::JOUSSE CC: GILMAN Subj: No write The string your question is as to hull speed is set to no write so I am replying in mail. The theory behind hull speed is related to WAVE LENGTH. i.e. the longer the boat the longer the wave length the boats passage through the water creates. As the wave length exceeds the boats length the boat starts to CLIMB the bow wave which puts the boat at a slight climbing attitude, since the boat has to constantly climb the bow wave with the stern settling into a trough it takes much greater power to maintain that attitude and speed. As speed increases even more the bow wave climbs even high and the stern settles even deeper thus requiring even MORE power to increase speed. A longer boat or ship can go faster that the shorter boat or ship before she reaches hull speed... thus the longer the displacement hull the faster the boat or ship can go before passing the hull speed. A planing hull is another matter entirely because the hull is lifted partially out of the water. Jeff | |||||
1919.5 | Just a dumb yottie!! | BAHTAT::BOYLE | John boyle @RKG Royal Kingdom of Geordieland! | Fri Aug 28 1992 13:18 | 10 |
Arnaud, Sorry, I quoted the formula from the magazine. They do not discuss the theory behind it. Planing speed must depend on the hull shape. This is a question for the marine architects/boat designers not a mere (ex) VAX service engineer! Any takers?? Regards John |