The Physics of Sailing “There is nothing-absolutely nothing-half so much worth doing as simply messing about in boats.” River Rat to Mole, in “The Wind.

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Presentation transcript:

The Physics of Sailing “There is nothing-absolutely nothing-half so much worth doing as simply messing about in boats.” River Rat to Mole, in “The Wind in the Willows,” by Kenneth Graham

Outline Hulls Keels Sails

Hulls “Hull Speed” Resistance Shape Stability

Hull Speed Hull speed is determined by the length of the boat. Water waves are dispersive, i.e., their speeds depend on the wavelength of the wave; long wavelengths are faster. Boats generate a wave at the bow. The speed of this wave must equal the speed of the boat.

Hull Speed At first, the bow waves generated have short length; several waves are seen along the side of the boat. As the boat moves faster, the wavelength increases, until it equals the length of the boat. When the wavelength becomes longer than the boat, the stern begins to fall into the trough of the wave and the boat is ploughing “uphill” on the bow wave. The resistance increases dramatically.

HULL RESISTANCE Surface Resistance Shearing Turbulence Reynolds No. Eddies Separation Shape Surface Resistance Shearing Turbulence Reynolds No. Eddies Separation Shape

Friction: Intermolecular forces

Roughness Hull should be “smooth”. Bumps will introduce turbulence sooner and/or will produce larger turbulence. “Polishing” does not help very much. Shearing must take place!

Hull Shape Hull shape determines how fast a boat can accelerate and how fast it can go in “light’ winds. Generally speaking, narrower, shallower hulls are faster, but less stable and hold less “cargo”. Exact shape for fastest hull is still a subject of debate.

Modern Racing Hull Design Narrow, sleek bow Shallow, flat bottom toward stern Square stern, normally above water line Able to plane under certain conditions

Keels Keels are necessary to provide resistance against “side-slipping”, and to provide counter balance for sideways force of wind on sails. A large keel adds a lot of surface resistance. Want a balance between positive keel action and negative keel resistance.

Wing theory Keels and sails act like airplane wings; i.e., they can provide “lift”. Proper design helps a lot!

Lift (Bernoulli’s Principle) ↑

Sail and Keel Lift

Fluid flow around wing

Typical Cruising Keel

Racing Keel

Shallow draft keel with wing

Keels and Stability

Sails Sails provide the power. Sails act like wings and provide lift and generate vortices. Ideal sail shape is different for downwind and upwind: Downwind sails should be square-shaped (low aspect ratio). Upwind sails should be tall (high aspect ratio) to minimize vortex generation.