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05242010, 08:34 AM  #1 
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The mathematics of flight
I just though I might start a reference to the mathematics of flight.
Something that could be quite useful in designing aircraft. I will try to show current examples of past mathematical achievements. Please note I am not a mathematician but an avid reader of mathematical theory.
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05242010, 08:39 AM  #2 
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Re: The mathematics of flight
Henri Coandă
Coanda Effect, the tendency of a fluid to be attracted to a surface that it flows along. some French modelers are working with this effect http://jlnlabs.online.fr/gfsuav/index.htm
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05242010, 08:46 AM  #3 
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Re: The mathematics of flight
Daniel Bernoulli, grandfather of fluid dynamics
Bernoulli's principle states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy Bernoulli gave us the fire nozzle, the ducted fan, and the carburetor. Bell X22 In fluid dynamics there are problems that are easily solved by using the simplifying assumption of an ideal fluid that has no viscosity. The flow of a fluid that is assumed to have no viscosity is called inviscid flow
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desiderantes meliorem patriam To err is human, to moo is bovine Last edited by moo; 05242010 at 09:23 AM. 
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05242010, 09:20 AM  #4  
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Re: The mathematics of flight
These are things I learned in my teens, racing a small sailboat. (CL16)
Boundary layer thickness was life and death in racing due to the weight of water you needed to drag along with your sailboat. Quote:
Quote:
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desiderantes meliorem patriam To err is human, to moo is bovine Last edited by moo; 05242010 at 09:22 AM. 

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05242010, 09:33 AM  #5  
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Re: The mathematics of flight
Theodore von Kármán, CalTech, JPL, engineer, physicist, mathematician, pioneer in transonic and supersonic and hypersonic design, first to recognize the importance of the swept wing.
Quote:
Kármán vortex street
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05242010, 09:42 AM  #6  
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Re: The mathematics of flight
Sir George Stokes
Quote:
Osborne Reynolds Reynolds number Re is a dimensionless number that gives a measure of the ratio of inertial forces to viscous forces and consequently quantifies the relative importance of these two types of forces for given flow conditions. The concept was introduced by George Gabriel Stokes in 1851 but the Reynolds number is named after Osborne Reynolds, who popularized its use in 1883 Quote:
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05242010, 06:41 PM  #7 
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Re: The mathematics of flight
It was about the fourth or fifth Lecture on the theory of flight and I had heard all the theories several times when one of the students walked up to the board and drew a period on the board. He said " now that is a molecule or blob of air, it is dead calm. Now tell me how that creates lift and what happens to it when the wing passes it." The answer that the student gave was quite simple. Any comments?
I have designed many models and a couple of ultralights. I have a series of ratios and sizes that work quite well. I will sit down another time and put it down on paper if you want. Kip 
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05242010, 07:16 PM  #8 
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Re: The mathematics of flight
For the most "understandable" description IMO, of why airplanes fly, why different airfoils are best for certain models and other very well explained information pertaining to model aircraft, it is impossible to beat Andy Lennon's book  which unfortunately is out of print.
I purchased a copy in a Toronto bookstore 20 or so years ago. I have read it more times than I can remember, and used it to design about 10 or 11 of my own models, including a few large canard delta's and others. If you can find a copy... BUY IT. its called "R/C Model Airplane Design" Guys selling it used are asking crazy money though.. http://www.amazon.com/RCModelAirp.../dp/0879382384
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05242010, 08:34 PM  #9 
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Re: The mathematics of flight
This one is still available and can be ordered through your local hobby shop.
http://www.airagestore.com/books/pla...ftdesign.html 
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05242010, 09:13 PM  #10  
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Re: The mathematics of flight
Quote:
Stuff like that never gets outdated, or obsolete. Every modeler's library IMO should have some of his stuff. AJC
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