Quote:
Originally Posted by Jeroen |
Excellent article! Thanks for sharing this Jeroen! It took me back to my airfoil studying days in college.
One of the contributors to that article, Prof. Holger Babinsky had written an article in 2003 in "Physics education" on how wings work. I feel that comes close to physically describing the probable theory behind lift. It considers the curvature of objects and the effect it has on the centripetal force on a fluid element. It then considers fluid viscosity around that element and how that leads to curvature of the flow overall and then on to local pressure differences and hence forces.
It's explained quite well, much better than how I attempted to put it. You can find it here:
http://www3.eng.cam.ac.uk/outreach/P...wwingswork.pdf
The only two things missing in that article are:
1. In the basic explanation, viscosity is not considered, but it's role has been acknowledged by prof. Babinsky. He had mentioned a while back that his team is working on it.
2. The math. The equations are still in the works.
But it's still a good theory to be in the mix with the rest.
Quote:
Originally Posted by Jeroen
To your point below, the pitch moment is related to the distance between the CG of the engine and wing (or hull/wing). In this image the vertical distance. How far apart the CG are horizontally so to speak (e.g. mounting the same engine further forward) does not have any effect on the pitch moment.
Although I am not a hundred percent sure, the total centre of gravity of the Max is not any different from the previous versions.
A lot of people assume moving the CG of the engine forward (away from the CG of the rest of plane) creates a pitch moment. Simply not true. The Max, apparently does have a bit of this pitch upward tendency, but it is not related to thrust (pitch moment) forces, but to aerodynamic forces.
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Makes sense. I've been baffled as to how an engine that's moved ahead and up could cause a pitch up moment. Scraped through a few other forums and looked at the other differences between the 737-800 and the 737-8 MAX and here's my two cents:
1. An engine has its own aerodynamic forces acting on its exterior. At high angles of attack - like during a climb - these forces can be quite strong. And if the engine is placed further away from the CG, like it is in the 737 MAX, these forces will generate a relatively stronger pitch up moment as compared to if the engine was closer to the CG. Essentially like canard that comes into play only at high angles of attack. Just like the good folks on the other forum mentioned.
An engine that's mounted ahead of the wings will definitely take the CG ahead with it but in any case, the CG has to be near the aerodynamic center - defined primarily by the position and shape of the wing and the tail. And that's mostly unchanged between the 737 NG and the MAX I believe, even if the wing has been updated a bit.
2. In all the new passenger aircraft, Boeing has used what it calls load alleviation on its wings. Basically you allow the wings to bend under the lift load a little bit instead of keeping it rigid and transferring all that stress to the wing box. Remember how much the wings of the 787 flex in flight? This allows for a lighter wing box and hence lower weight.
Now, under high lift conditions - like in climb - the wings will flex upwards more than they would flex while in cruise. So basically the CG and the aerodynamic center is going to shift upwards, away from the engine, though only marginally. This will increase the moment arm for the aerodynamic loads acting on the engine with respect to the CG and further increase the pitch up tendency.
I believe both of these aspects will increase the pitch up tendency only marginally, and only at high angles of attack. Maybe because it's only marginal and temporary, Boeing thought that it could be handled by software instead of hardware. And that complicated things further with the AoA sensor and MCAS as we all now know. Like any Aviation accident, it's tough to blame a single aspect, it's always a series of events.
In any case, this is also a speculation. Unless you're a Boeing engineer who has worked on the aircraft, it's tough to get any particular design details. Maybe I should just wait for more information than speculate here.
Cheers!