Aerodymamics..., page 2


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reply posted on 11-7-2006 @ 01:21 PM by kilcoo316
This is in my undergrad aero notes, which are in the lab, but off the top of my head:

The complicated explanation [skip to simpler one at bottom if yez want]


The desire for swept wings was led by the possibility of optimising the wing sweep through the flight profile.

There is an equation for aerodynamic efficiency, well, induced drag IIRC, I think the factors in it include the wing volume, flight mach number, aspect ratio and lift coefficient. It reads something like [I'm very rusty here, I think there are other variables]


Cdi = CL*(1+X)


X is just a factor dependant on wing volume, aspect ratio, Mach number etc - using variable geometry wings allows you to keep X at 0, meaning you pay theoretically a 0 penalty for supersonic drag rise.

* I'll check my notes next week and correct this if anyone is that keen.*



Simpler explanation:


The air speed at 90 degrees to the wing leading edge is what creates the lift and drag of the wing, ideally you want to run the aircraft as much in its design zone as possible [for sake of argument lets say thats 150 -> 400 mph at sea-level].

So, if we have a wing swept at 60 degrees, your optimal aircraft speed is actually 300 -> 800 mph.


Obviously 300 mph is too quick for a good take-off speed, but by sweeping the wing forward to 0 degree sweep, aircraft optimal speed is back to 150mph up to 400, which is much better.


As you increase up the speed range, and transonic drag rises start to move the aerofoil/wing out of its best operating zone, you sweep the wings back to lower the "wing speed", taking it back into optimal zone.

[edit on 11-7-2006 by kilcoo316]


reply posted on 12-7-2006 @ 11:37 AM by Figher Master FIN
The air speed at 90 degrees to the wing leading edge is what creates the lift and drag of the wing, ideally you want to run the aircraft as much in its design zone as possible [for sake of argument lets say thats 150 -> 400 mph at sea-level].

So, if we have a wing swept at 60 degrees, your optimal aircraft speed is actually 300 -> 800 mph.


I have to admint that I din't really understand anything.

In the picture below I have tried to help me understand and you explain why the speed rises if the wings-angle becomes smaller.



In the picture above I've drawed a wings (please forgive me for my terrible drawing ). Kilco said that for a wings with 90 degrees angle the plane could go 300 -> 800 mhp (of course the speeds aren't real). But how can a plane go faster only by turing the wings to lower angle. I didn't understand that, to me it sounds like we are fooling mother nature.

Does it create less drag?

And is the angle in my picture the wrong way? because this way 60 degrees would make the wings forward-swept.


[edit on 12-7-2006 by Figher Master FIN]


reply posted on 13-7-2006 @ 07:08 AM by Valhall
In the case of swept wings and reduced drag it's all in the geometry and you just hold the aerodynamics constant. You're "tricking" the system with geometry.

Let's take a straight wing with NACA airfoil XXXX...chord length Y and hold those two factors constant for either a straight wing or a swept wing.

The parasite drag that a wing generates is based on three things:

1. Cd of the airfoil cross-section,
2. Chord length of the wing (area),
3. Windspeed SQUARED

So, since we're dealing with the same NACA airfoil, our Cd is constant for either the straight wing or the swept-wing. We have two ways now to decrease drag:

1. Shorten chord length
2. Decrease airspeed

But if we, of course, have limits on what we can do with the chord length since, when all is said and done, we need to still have a wing of sufficient lifting area and we've got to hold our root chord and aerodynamic center to some point to ensure some measure of stability. Not only that, but the drag is dependent on the airspeed squared so we've got more bang for the buck in the airspeed than in the area.

Let's decrease the "apparent" airspeed the wing encounters. How do we do that?

we sweep the wing to an angle to the wind to where only a portion of the forward airspeed results in windspeed perpendicular to the airfoil. (We create a vector). The tangential part of the winspeed (the part that flows along the leading edge of the wing) produces no parasite drag across the airfoil...only the part of the wind vector that flows perpendicular to the leading edge (i.e. travels down our NACA airfoil) creates the parasite drag.

So, we can travel at the same airspeed and generate less parasite drag by causing only a portion of the airspeed to travel down our airfoil. And this is all geometry. You can pretty much figure the perpendicular component on your own just with sin and cos of the sweep angle.

But this also decreases lift (because it too is dependent on the same variables as the parasite drag)...but there's one thing that affects lift that doesn't affect parasite drag...

AOA

so if we increase the angle of attack on a swept wing, we can regain our lift while still reducing our parasite drag.

The above applies for subsonic...when you go supersonic there's a bit more to discuss.

[edit on 7-13-2006 by Valhall]
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