The Physics Of Sailing

How sails Provide lift and interact with each other to increase efficiency is well understood and has been for a very long time. It has got nothing to do with "jets" coming off the back of the sail. NOTHING!
Only one contributor has mentioned Arvil Gentry. No-one has mentioned circulation theory.
You can't have differences of opinion and expect to be taken seriously. There is one explanation and one only and it has been common knowledge for "ever!"
Just because you don't like the explanation or you don't understand it, doesn't mean that you can make one up and put it out there as a viable alternative.
"Intelligent Creation" might be easier for some people to understand, but it's still a lie!
sam :-)

Given that the true nature of mass isn't understood yet that's a very bold statement - we've a long, long way to go as race before we can say we truly understand anything completely - it may be we never can. At a more practical level I've spent a lot of time talking to and even working with some of the best aircraft designers in the world, people like Gerhard Weibel and his peers, as well as naval architects. None of them had definitive answers so I'll have to disagree with your statement. Circulation Theory is exactly that - no-one has managed to actually demonstrate it yet except in a closed loop system in a lab, though the math's stacks up if you're willing to make some assumptions. Did you know that the most commonly used Kutta-Zhukovsky model is based on measurement rather than theory as it was found to be more accurate? Neither Circulation Theory nor Kutta have any real relevance to a sailor anyway as the airflow is far more complex than can be handled by any simple mathematical model. In practice all you need to know is the basics and then go by trial and error unless you're designing/campaigning an America's Cup boat. To use any of the math's to adjust your sail trim you'd need a supercomputer as well as sensors that could detect both the stagnation point and the vortices or a very good wind speed indicator that worked along the whole of the luff of the sail as well as being able constantly map the sail shape too.

I'd never heard of Arvil Gentry I'm afraid but a very quick look at his web-site (I only scanned two of his papers) suggests that he's simply restated contemporary aerodynamic theory and then used one very specific example to describe the interaction between a foresail and mainsail - the interaction between a non-overlapping blade jib will be very different to that of a huge 150%+ overlapping genoa from the old IOR rules days, and will also be hugely affected by the speed of the airflow and the sail shape and angle of attack. He certainly spends a lot of time telling us what is wrong, but, while I wouldn't argue with any of what he said (except that, like any aerodynamicist, he tends to make the models fit the math's rather than the math's fit the models) he doesn't put forward anything new either. Even if the man in the street didn't know this stuff, Sparkman and Stephens and the like certainly did.

If you want to look to anyone to understand Aerofoils then Zhukosky is the main man (lot's of different spellings as a result of the translation from the Cyrillic alphabet so beware). He was the first person to really study and start to understand the complexity of the aerofoil. There was a model by the Douglas Aircraft Corporation (later McDonnell-Douglas) that was the actual model designers used when I was first into this stuff but it was all based on Zhukosky's work. Effectively it broke a shape into panels (common practice and the basis of 3D Calculus really I guess) but the maths was very heavy going. I never was able to go through it without someone helping me - I thought I could follow it when it was explained but I was probably kidding myself. Later models were refinements of this I believe. There's a thorough but not too complicated overview of the Hess-Smith model here http://www.dept.aoe.vt.edu/~mason/Mason_f/CAtxtChap4.pdf. I have no idea if the Smith that Gentry mentions working under is the same person as the guy who worked with Hess on the DAC model.

FWIW I'll only sort of agree with the statement in another post about momentum as well. Viscosity, density and velocity are the critical factors for the fluid medium. Momentum is in there but it's a derived factor from some of the other parameters. Sorry, but I'm in pedant mode after that sweeping statement by Mr Salter.
 
That is certainly what happens with an aircraft wing, in accordance with Bernoulli, but an aircraft wing has different curves on the bottom and the top. A sail does not. The difference in speed around the two sides must be very small.

Has anyone ever measured the difference in speed and in pressure on the two sides of a sail?

Many wings are "sail shaped" - hang gliders and para-gliders, and some ultra-lights are just a single piece of cloth. In fact most fluid flow aerofoil models start with a flat plate and apply curve to the plate and then finally apply a bottom shape as well. It's very rare to see an aerofoil that doesn't have a concave underside at the rear of the section though.I think the only subsonic ones I've ever seen have been symmetrical sections on aerobatic aircraft designed to spend a lot of time upside down. Whilst there are aerodynamic reasons for doing it another big factor in the aerofoil shape is being able to get a strong enough mainspar in.

The difference in pressure between the two sides of a sails has been measured many times, including by me (measurement of a 2D curved plate aerofoil in a wind-tunnel provided by the RAF and Roermond council (otherwise known as a fan and a pipe). As above the classic model uses a curved plate very frequently. Normally a steep angle on the trailing edge creates extra drag for no extra lift. You can counter this by either flattening the angle on the plate but this can reduce the lift generated by the top surface. Alternatively you can fill it in so keeping the top the same but reducing the angle on the bottom. This can give you the same lift for less drag as well as somewhere to put the mainspar, some fuel, cables, hinges, etc, as well as providing some very handy torsional and lateral and longitudinal rigidity, which means you don't need so many wires, struts and things to hold the wings up. Exactly the same is true of a boat but there are two problems of course. The first is how to sail off the wind efficiently with a low area high aspect ratio rig. The second is that we are already producing over-powered boats with massive rigs. Adding yet more power is not the key unless we can significantly reduce drag, keep the thing vaguely upright and also reef it somehow.
 
It would appear so. My assumption that you understood how sails work based on the the popular Bernoulli's Principle was wrong, so my assertion that you lied to your students is also wrong. You are not a liar.

The change in momentum as explained by DJE, jimbaerselman and yourself (plus Wikipedia) is an easy explanation to understand, much easier than Bernoulli's. I certainly took it on faith from text books that Bernoulli's was the reason for the force.

Bernoulli wins again I'm afraid. The majority of the force produced acts sideways to the boat and sail (when it's close-hauled). And changing the momentum of a wind coming from forward of the beam would drive the boat backwards. It would be like hitting a red snooker ball with the white and expecting the red to travel towards the cue otherwise.
 
Bernoulli wins again I'm afraid. The majority of the force produced acts sideways to the boat and sail (when it's close-hauled).
True. but it's that little bit that little bit that points forward (if you're not too close to the wind) which matters.
And changing the momentum of a wind coming from forward of the beam would drive the boat backwards.

Groan. Fundamental physics. If you don't change the momentum of the wind, then no force is acting. The trick is to change the momentum (direction in this case, rather than speed) by only a small amount. From (say) 45 degrees off the centreline to (say) 25 degrees off the centreline.

This is much to the chagrin of the guy receiving your dirty wind, who now has to pay off 20 degrees because of the wind shift you've created.

Now whether you use a bit of cloth to do this, or a jet engine (OP at work here!), or a big propeller in the air, really doesn't matter.
 
Last edited:

Another book I found useful was The Art and Science of Sails by Tom Whidden.

One fun thing he suggests is to fill the bath and once the water’s settled, scatter some fine pepper on the surface.

Then take a thin piece of card, curve it slightly to make a foil shape and slowly drag it though the water.

It really helps to understand the laminar and turbulent flows at different angles of attacks since you can see them.

And a strange vortex that is formed well in front on the leading edge of the foil.
 
Ahh. Suck. Is that the force that drives the boat to windward? Blow on the windward side, suck on the leeward?

Yes, but its how the forces come into existence that has changed for me. I thought that the yacht was sucked along because of the pressure drop only - high to low idea. However, its pushed along because of the force due to change in momentum of an air particle. Bernoulli's principle is an explanation of the phenomena that contributes to the magnitude of the resultant force. Of course, the flow round the keel and hull, the change in momentum of the water and Bernoulli again is part of the resultant. However, I suspect you knew all this, I didn't, just one part, Bernoulli's, repeated parrot fashion over the years, was the sum of my understanding.
 
I suggest a few folk here read Arvel Gentrys articles, published in Sail magazine and found on google. He was a research Aerodynamicist at Boeing who learnt to sail but found the books make explanations of airflow that made no sense, especially the slot.

He explains how sails really work, including the fabric, unfixed nature of a sail, how the main affects the jib, the jib affects the main. stalling, and circulation. All based on bernoulli, Reynolds and other giants of aerodynamics. He became aero/hydronamic consultant to the Americas cup team.

his "gentry tufts" are now known as telltales.

It may take a few reads to take them all in, but its worth the effort.
:)

+1.

I would also add that although aircraft wings work by the same physics as sails, a sail going upwind is operating in a different region. What is useful lift on an aeroplane is mostly nuisance heeling force on a boat.

Bernoulli's principle is derivable from the conservation of energy, so looking at things in terms of the momentum of the air may come to the same thing in the end.

But it's one thing to do kitchen experiments and arm-waving explanations, another to calculate what the forward drive and heeling forces of a sail will be.
 
But it's one thing to do kitchen experiments and arm-waving explanations, another to calculate what the forward drive and heeling forces of a sail will be.

Once, when off-watch and not tired on a race, I tried to calculate the power needed to move the boat (Swan 57) doing about 9 knots.

1. Calculate the waterline length as a decimal part of a nautical mile.
2. Work out how many seconds to travel one boat length.
3. Thus boat is doing the work to move its displacement of water every x seconds.
4. Therefore every second a calculable amount of water is being displaced
5. A horsepower is 550 foot/lbs per second
6. Divide a second's worth of weight of water by 550 and you have a figure in HP, disregarding air resistance.

I came up with a figure (from memory) of about 130 hp but I'm sure my method could be shot full of holes. One, for example, is that I only knew the brochure displacement of the boat, and had no idea of the actual all up weight.
 
Once, when off-watch and not tired on a race, I tried to calculate the power needed to move the boat (Swan 57) doing about 9 knots.

1. Calculate the waterline length as a decimal part of a nautical mile.
2. Work out how many seconds to travel one boat length.
3. Thus boat is doing the work to move its displacement of water every x seconds.
4. Therefore every second a calculable amount of water is being displaced
5. A horsepower is 550 foot/lbs per second
6. Divide a second's worth of weight of water by 550 and you have a figure in HP, disregarding air resistance.

I came up with a figure (from memory) of about 130 hp but I'm sure my method could be shot full of holes. One, for example, is that I only knew the brochure displacement of the boat, and had no idea of the actual all up weight.

Unfortunately, your method is flawed.
The water is being displaced, but mostly sideways.
The force to displace it sideways is not related to its weight, more its viscosity.
In reality, a boat doing 9 knots will be using most of the power to make waves though, and the size of the wave is strongly related to the displacement.
This is where 'hull speed' comes into it, the power needed is not linearly related to the speed, doubling the power will only increase the speed by a few percent, once the boat is near 'hull speed'.
A bad hull shape will also take more power than a good one of the same displacement.

A big container ship (300m long) uses less than one hp per ton to do over 20kts, putting those numbers into your model will show the flaws.
 
Unfortunately, your method is flawed.

I thought it prolly was. Barely scraped a maths O'level.

A big container ship (300m long) uses less than one hp per ton to do over 20kts, putting those numbers into your model will show the flaws.

Ah but, length must shirley be a contributing factor to the efficiency of the vessel. It's only the front bit that that displaces the water, the rest of the hull slides on into the empty bit that the bow has created. So, for eg, forcing a six foot long plank pointy bit first through the water will take about the same power as doing the same with a sixty foot plank.

So confusing me further with hp per ton numbers from a 300 footer is not spesh relevant, is it?

TK
 
Last edited:
Unfortunately, your method is flawed.
The water is being displaced, but mostly sideways.
The force to displace it sideways is not related to its weight, more its viscosity.
In reality, a boat doing 9 knots will be using most of the power to make waves though, and the size of the wave is strongly related to the displacement.
This is where 'hull speed' comes into it, the power needed is not linearly related to the speed, doubling the power will only increase the speed by a few percent, once the boat is near 'hull speed'.
A bad hull shape will also take more power than a good one of the same displacement.

A big container ship (300m long) uses less than one hp per ton to do over 20kts, putting those numbers into your model will show the flaws.

It is an interesting side-light on history that when Brunel proposed to build the the primarily steam powered Great Britain, one of the arguments against it being successful was the computation of the amount of power required to shift the water out of its way. As you say, this is a flawed calculation, as the success of the Great Britain proved!
 
It is an interesting side-light on history that when Brunel proposed to build the the primarily steam powered Great Britain, one of the arguments against it being successful was the computation of the amount of power required to shift the water out of its way. As you say, this is a flawed calculation, as the success of the Great Britain proved!

Absolutely.

Froude could have dealt with that one. He used dimensional analysis to deduce how shape and surface affected drag by towing variable sized planks behind sailing ships.

Better science had he than is found in many of these posts.
 
Top