PPRuNe Forums Estimating angle of attack

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 17th May 2011, 08:11 #1 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 Estimating angle of attack For a given airfoil, in a single test, I have 3000 datas for its instantaneous height and its instantaneous velocity, is it possible to find instantaneous angle of attack? Please help....
 17th May 2011, 08:59 #2 (permalink) Join Date: Feb 2000 Location: UK Posts: 10,386 If that's the only data you have, no. If you have other data, maybe. G
 17th May 2011, 09:10 #3 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 wat other datas I would need...
 17th May 2011, 11:15 #4 (permalink) Join Date: Feb 2000 Location: UK Posts: 10,386 Well, if L = W.Nz = 0.5 rho TAS^2 S CL CL = a.AoA I'd get rid of rho.TAS^2 and instead use rho_0.EAS^2 which is the same thing So, W.Nz = 0.5 rho_0.EAS^2 S a.AoA Which will give you AoA = (2.W.Nz)/(rho_0.EAS^2 . S .a) So, you need: W = aircraft weight, from operational plan and fuel state Nz = normal acceleration, from INS, g-meter, etc. EAS = equivalent airspeed, from FMS, or derived from IAS via CAS S= wing area a = lift curve slope, hopefully available from wind tunnel data for the whole aeroplane (DO NOT just use aerofoil data, because the tailplane and fuselage have a significant effect). You might be able to come up with an estimate of this, if you don't have wind tunnel data, using ESDU data sheets - but that can only be an approximation. Obvious cautions to this: - CL=a.AoA assumes that CL=0 when AoA=0, if it's more complex than that, which it may well be, you need to modify the formulae. - It'll only work in steady state conditions (so Nz, EAS, bank, sHp are all constant for any given data point) - It'll still be an approximation, and no substitute for flying an external air data sensor in clear air. G (Edited 18/5/11 because I realised I'd missed a Rho_0 out of the formulae)
 17th May 2011, 11:33 #5 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 thanks for your help. Just one more silly question. Does lift curve slope varies with height.??
 17th May 2011, 12:25 #6 (permalink) Join Date: Oct 2003 Location: Canberra Australia Posts: 1,226 maarich What do you mean by "height" ?
 17th May 2011, 13:09 #7 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 I mean density of air
 17th May 2011, 13:23 #8 (permalink) Join Date: Feb 2000 Location: UK Posts: 10,386 It varies with Reynolds number (rho .TAS. L / mu), which is a function of density. But, the dependency is small. My suggestion would be that you look at the variation in "a" with Reynolds number, over the range of tested conditions, and include that (along with IAS accuracy, altitude accuracy, Nz accuracy...) in a reasonably robust error analysis of the eventual derived AoA. Using multiple test points, you can then plot through well argued error bars. Look at the paper here for one example of how to do the error analysis in a derived quantity. It's a bit labour intensive to derive, but then easily automated on a spreadsheet. G
 17th May 2011, 13:39 #9 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 thnx a lot for your help
 18th May 2011, 09:16 #10 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 how can i get ESDU datasheets.? Are these available online?
 18th May 2011, 10:26 #11 (permalink) Join Date: Feb 2000 Location: UK Posts: 10,386 IHS ESDU: Home You might want to get an aeronautical engineer, better still a Flight Test Engineer to work with - this sort of data analysis is fraught with problems for somebody lacking the right professional skills and training. G
 19th May 2011, 07:40 #12 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 thanks again. I have one more doubt related to matlab. I have actually written a code which uses syms function.I want to use this code in simulink,but there seems to be a problem. Is there any alternative for syms function in simulink??.please help.... my code is: function [CL] = attack(m,h,v,s,alpha0) clc syms x; CL=zeros(300,1); AOA=zeros(300,1); ro=zeros(300,1); for i=1:300 ro(i)=1.225.*((1-(.0065.*h(i)./288.15)).^4.258644); AOA(i,1)=solve((0.5.*ro(i).*v(i).*v(i).*s.*.1.*(x-alpha0))-(m.*9.81.*cos(x.*pi./180))); AOA(i,1)=AOA(i,1).*1; end
 19th May 2011, 10:21 #13 (permalink) Join Date: Feb 2000 Location: UK Posts: 10,386 Nobody but an undergraduate student would be using Matlab/Simulink - I think perhaps you should be asking your professor for help. G
 20th May 2011, 21:21 #14 (permalink) Join Date: Mar 2011 Location: engineer at large Posts: 1,407 G...you got that right...
 26th May 2011, 07:23 #15 (permalink) Probationary PPRuNer   Join Date: May 2011 Location: GERMANY Posts: 8 no...i am still searching for an alternative to syms function, so that I can use it in matlab simulink.
 26th May 2011, 09:33 #16 (permalink) Join Date: Feb 2000 Location: UK Posts: 10,386 As a policy, we like supporting and helping students on PPRuNe - but only when they do their homework and are honest about their objectives. Thread closed. Genghis mod.

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