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The tip speed of a rotor blade has to remain subsonic, as you say. Also the forward speed of the aircraft subtracts from the speed of the backward-moving rotor, and adds to the speed of the forward-moving one. Most of the lift comes from the end of the rotor, because lift is proportional to airspeed squared. Each rotor can only carry so much weight, as a ...

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Try the wondrous internet: https://archive.org/stream/nasa_techdoc_19670028324/19670028324_djvu.txt http://www.scribd.com/doc/39708901/Helicopters-Calculation-and-Design-Volume-I-Aerodynamics-September-1-1967-From-www-jgokey-com This next one is more about cross-sections. http://www.helistart.com/RotorBladeDesign.aspx

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The problem with the phase space flow in Hamiltonian mechanics is that the flow itself is non-dynamical, that is, the flow is immediately defined for a given Hamiltonian, so there is no independent equation governing its evolution. Thus, Liouville equation is simply a transport of a scalar variable in a given flow. So, dimensional analysis of the flow ...

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