This seems like a familiar discussion: can we compare a wing with a fin??
I often read the same arguments which should explain why we cannot compare a wing with a fin. Unfortunately these arguments are not true.
Argument 1:
Wings and fins cannot be compared because of the air being compressible and water not.
This argument is not completely correct. The assumption that air is compressible does not hold when you look at wings traveling in sub sonic conditions. In these conditions air behaves like an incompressible fluid. Sounds strange, but this is very well accepted in the scientific world.
Argument 2:
Wings and fins cannot be compared because the lift generated by a wing is in a normal direction to the planform area (90 deg to the wing span and 90 deg to the wing chord), and the lift produced by the fin is parallel to the fin span.
This argument is based on a misinterpretation of the definition of fin lift, and there for it is not correct. The correct definition of fin lift is that it acts horizontal (90 deg to the fin span and 90 deg to the fin chord). So very similar the a situation of a wing traveling through air. The drawing from the earlier posted thesis gives a nice picture of the forces acting our windsurfing gear.
Argument 3:
Wings have asymmetric foils, and fins are symmetric. There for they work in a different way.
The first part is true, sometimes. As mentioned earlier both wings and fins can be symmetric and asymmetric. Note that when you place a symmetric foil under a certain angle in a free stream (AoA) you actually create a asymmetric flow field around to the foil. Besides this, the shape of the foil does not explain how lift is generated, it only has a certain influence on the amount of lift generated.
I would argue that we can perfectly compare our fins with the wings of an airplanes, but only if we look at planes traveling at subsonic speeds where air behaves like an incompressible fluid. A very critical note here will be to take account for the differences of density and viscosity of the two fluids. To do this you must have a good understanding of the Reynolds number and the physics involved.
Than we still have the question about how the lift is actually generated. I think this is best explained by Bernoulli's principle. Before you start the discussion about whether Bernoulli's or Newton's method is the correct one, please keep in mind that both gentlemen are actually doing the same thing. They both start at the same point, and they arrive at the same point, but take a different path. See the next url:
www.grc.nasa.gov/WWW/K-12/airplane/bernnew.html (i think this was already posted in this thread)
I prefer to use Bernoulli's method because it seems less complicated then Newton's method and for me it makes it more easy to visualize what is going on.
So when we look at Bernoulli's method and its application to wing lift we can identify some key features. First of all, the whole theory is based on the principle of conservation of energy.
Nice quote from Wikipedia:
"Bernoulli's principle can be derived from the principle of conservation of energy. This states that, in a steady flow, the sum of all forms of mechanical energy in a fluid along a streamline is the same at all points on that streamline. This requires that the sum of kinetic energy and potential energy remain constant. Thus an increase in the speed of the fluid occurs proportionately with an increase in both its dynamic pressure and kinetic energy, and a decrease in its static pressure and potential energy."
Second we need to 'see' this in the application of a wing/fin. For this I think it is most easy when you understand the phenomenon 'boundary layer' (See:
en.wikipedia.org/wiki/Boundary_layer).
When a fluid flows along a surface (wall) we see that the velocity of the fluid layer which is in direct contact with the wall is 0. When we increase the distance from the wall we see that the velocity is gentle increasing, until a certain maximum is reached. This transition region is called the boundary layer.
Knowing that the flow near the wall is zero and that the path of the flow is influenced by the presence of an object (wing or fin in this case), it is not hard to imagine that there are small localized velocity differences near the object. Following Bernoulli's method, these velocity differences come together with localized pressure differences. If you take the static pressure component which acts on the wall and you multiply this with the area on which this pressure acts you get a force. Now you can calulate a big number of localized forces acting on the wing/fin, and because of the direction of this force is always normal to the surface. Now we have a set of localized forces and we know in what direction they act. Now it is easy to sum all these forces with the direction components to come to a total force acting on the wing/fin, caused by the flow.
Does this make sense?