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Rotor theory

        "the wind does the work"

     
A sailing ship seems to obtain all its motive power from one inexhaustible source - the wind.

In fact, a power input is necessary over and above that required to navigate the vessel.  It requires manpower to work the sails.  In other words the classic sailing vessel consumes energy in order to exploit the much greater energy potential of the wind.  The rotor vessel is no different.  The argument over whether the rotor boat is generically a sailing boat or a motor boat is diverting, but unimportant.  The important consideration is that by arranging the power input and control of the rotor to be as simple as possible, the operator input required will remain the same irrespective of the scale of the system.

In other words, the spinning rotor is viable as powerplant for large commercial vessels.  On a small scale, the power input the rotor requires is within that which solar panels can provide, making a rotor boat self-sustaining.  Solar panels are the ideal power source as they add the least drag penalty, no drive train losses, and least complexity as a whole.  At some as-yet unknown hull size, presumably the greater energy density of hydrocarbon fuels would need to be resorted to; but bearing in mind that 'the wind does the work', the fuel consumption would be a fraction of that required to propel the same vessel by water screw.

The phenomenon at issue here is known as the Robins effect or the Magnus effect.  A spinning body in a viscous flow will experience a force normal to the freestream direction.  The phenomenon is in fact quite mundane, and explains the ability of sportsmen to impart a curving flight to balls of various types, from soccer balls to baseballs.  My rotor exploits this force along the length of a cylinder.

A wing - any wing - is a device for creating a reaction normal to its surface against a fluid passing round it.  A conventional boat sail is a type of wing, as is my rotor.  Both sail and rotor create this reaction by compelling the fluid under consideration - air -  to flow round them asymmetrically.  The aerodynamics are really much the same in both cases; the two devices only differ in practical considerations of complexity, efficiency and adaptability.  I explain this because many people on seeing the boat for the first time see the rotor as some arcane means of driving a propeller or somesuch underwater.  There is nothing under the water except the keel surface and the rudder!


What is it?


My rotor is a single, cantilever shell driven through a full range of spin speed by a small electric motor.  The speed can be varied to provide more thrust in light winds, or to achieve the best ratio of spin speed to wind speed (though noone seems very clear what this ratio should be).  The main fact is that the current rotor, 3.6 metres long, uses  in the region of 20 watts of electrical power to drive the boat to hull speed even in light winds.  The rotor is home-made, and there is no doubt that at many spin speeds you notice the slight noise and vibration it generates,  when you're in the boat.  People who've been watching the boat from quite close quarters though seem unaware that they've been watching a spinning rotor.  A rotor made professionally say, using precision engineering, should produce very little noise and vibration indeed.


Why a rotor?
   

People reasoned long ago that a cantilever, rigid, smooth-surfaced wing would be more efficient than fabric sheets strung on masts and booms, as a means of propelling a boat in any given wind.  However, conventional rigs have evolved to carry large amounts of fabric, countering basic inefficiency with sheer surface area, and using principles like washout and the slot effect to make the best of that area.  A fixed wing large enough to produce the same lift could be a liability in circumstances where a conventional craft could reef, or lower sail altogether.  The fixed wing would bring a weight penalty too unless it was externally braced, and whereas in the analogous move in aviation (from strut-and-wire-braced biplanes to cantilever monoplanes) the weight penalty was more than offset by the benefits, more weight aloft is always a disadvantage at sea.  Additionally, all the most efficient fixed-wing aerofoils possess positive camber, meaning they only provide their best lift when air flows past them from the flatter side. This is alright for an aeroplane, which, by and large, only ever wants the lift force to work in one direction - away from the ground - but a sailing craft needs to tack from side to side in order to progress to windward.  This necessitates either a symmetrical aerofoil, at a loss in efficiency, or a mechanically complex means of varying camber.

A rotor offers different pros and cons.  Although my rotor is no more nor less than a wing, it differs crucially from a cantilever fixed wing in that it is active not passive.  A fixed wing uses its shape to induce the necessary asymmetry in the fluid passing over it: my rotor is itself entirely symmetrical in cross-section, and instead uses spin to achieve the same effect.  The immediately obvious shortcoming of this approach is that the rotor needs a power source to make it spin, making the system complex, and an absorber of energy over and above the absorbed energy (induced drag) of a conventional rig.  That's why right from the start, I thought only of mechanical simplicity and aerodynamic refinement, believing that only thereby could I produce something both technically reasonable and valuably more efficient than what has gone before.

From experience gained with my prototype I estimate that not only would the rotor for a large boat be lighter than a conventional sailing rig producing the same thrust, but that the centre of gravity would be correspondingly lower. A common early objection to a rotor is windage (excess of it), but by observation of my prototype's behaviour I suspect the windage to be in the same realm as that of a conventional rig with bare poles (listen to the wind singing through a yacht's rigging). Further, by spinning the rotor at some low rate, the turbulent wake (synonymous with windage) can be much reduced.  Inherently, this tactic should also minimise any possible effects of standing vortex sheets.  I have waited until my rotor is oscillating under the impetus of a standing vortex sheet, spun it at a low rpm, and watched the oscillation reduce or vanish.




Advantages of rotor v. conventional sail (small scale)

Extreme simplicity of use

Reduction in weight aloft/lower c.g.

No gybing danger

Low maintenance

Clear decks, superb visibility

Windage possibly less than conventional

Self-reefing quality*

Less heel due to higher L/D ratio and reduced weight

Extreme manoeuvrability with >1 rotor

Brake allows rapid de-powering

Self-righting, full capsize impossible

Potential for emergency speed **

Development potential - motor and photovoltaic R&D***


Large scale advantages

Hugely reduced fuel costs/sulphur emissions

Added manoeuvrability and stability - reduced roll

Zero underwater noise pollution

notes
*Lift of conventional sail increases as the square of the wind speed, so when sailing at full power, a gust can overpower the sail and cause a capsize. Sails are reefed to avoid this hazard.  Lift of rotor increases much more in line with wind speed, reducing sensitivity to gusts.

**Although renewable power sources, e.g. solar, inevitably limit the continuous power able to be fed to the rotor, there is the ability greatly to increase rotor power in the short term to escape danger e.g. lee shore.

***electric motors, electrical storage, photovoltaics and associated technology are areas of intensive research and development, with advances reported frequently.  

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 Rotor home............ contact...........rotor theory............ project history.........project future............video