The P-47 wing, or What am I looking at?
 

So I was curious about the P-47's airfoil (the Republic S-3), and I found this:
http://www.worldofkrauss.com/foils/253

So having found it, what is it telling me?

well, look up the Reynolds number for an understanding of the graphs.

just by pure cross section, the lower curved undersection means poor inverted flight.

this wing seems to have been made similar to the highest lift airfoil, that being a flat bottom, although the leading edge has a sharpish lower curve, suggesting inverted flight is just not a good idea.

the generous curve on top of the leading edge makes me think it was an attempt to keep airflow where its supposed to be at higher angles of attack, a broad smooth curve, not as sharp as the underside.

its not very thick, so speed was a consideration. Note the long run aft, with no obvious laminar flow? A x-section of a mustang wing is very different.

not being an aerodynamics expert, im guessing a wing designed for low drag + speed, with no plans for inverted flight.

So from looking at the Wikipedia article it sounds like a larger Re indicates a larger wing or a higher speed. Does that sound about right?

Addendum: So digging around for information on the P-51 wing, I found this: http://www.tdmsoftware.com/afd/, which looks really interesting. I'll have to check it out tomorrow.

Addendum to the addendum: http://www.tdmsoftware.com/majewski/.../IL2design.asp

Keep in mind Voyager, that full size planes operate in Re range of couple of millions - that's why NACA report 824, a holy bible of NACA profiles, has each of the airfoil tested at Re=3, 6 and 9 million. The results with these figures might will be a bit different, compared to 25k-100k (?) range presented on the site you found (maybe it's the data prepared for RC modellers?).

Well, their polars look somewhat "fishy" anyway. I don't know the software they used for obtaining these, but I'd try to find some alternative source.

Cheers.

It is a site for RC aircraft. So when you say the polars are fishy, how do you mean?

Perhaps a better questions for me to ask is, do you know of good software that's reasonably available?

The cl characteristics look odd. Usually there's no bump on the way up to the cl max. Probably a discontinuity in either the airfoil model or the algorithm used for the calculation.

What do you want the software for? As far as existing airfoils are concerned, it is safe to assume they've been tested, calculated and published already. The already mentioned NACA reports are a good way to start, even if the findings are 60+ years old, the results are still mostly valid.

What JtD said....

As for software, for many years a small program called X-Foil, done by the guys at MIT, has been a weapon of choice for simulating basic characteristics of any airfoil you wanted. It was created however, in the era when youngsters actually had a computer knowledge going above pushing an "on" button on their Playstation (early 2000, UNIX, communication through DOS console with no fancy UI whatsoever!), therefore today it might be considered "a bit" unfriendly... There is an Italian fella though, who created a small program called "Profili", which has an X-Foil module built-in and also has a nice'n easy Windows-style interface. Demo version is available for free, getting all functions requires some small donation though.

Below you'll find a few polars it calculated for Republic S-3 airfoil, at standard "reasonable" Re numbers (Cl(alpha): only linear range!). As you can see, they look smoother then the versions found by you. Remember though, that even these are the result of numerical simulation and therefore, far from perfect - NOTHING beats the empirical test results from the wind tunnel!

Cheers.

http://i24.photobucket.com/albums/c4/Art-J/polar.jpg

Interesting. I'll have to check into that. I have found a copy of the NACA Report 824, and will dig into that after I finish In Pursuit.

I'm just curious about it. I was thinking about how every Seversky/Republic aircraft I know of, from the initial debut up to the jet age used an elliptical wing with the S-3 airfoil, from their 230mph amphibian, to the 470 mph P-47M. And while nearly every other fighter that was re-winged with one of the new laminar flow airfoils saw major performance improvements, the P-47 didn't, and was still just as fast as every other prop-job in the air. This begs the question, why?

Is there something particular about the S-3 airfoil that makes it competitive with the laminar flow airfoils, that other widely used airfoils lacked? If so, why wasn't it more widely used: design ownership, a significant trade off, a different set of design priorities, something else? Was it just a quick of the Seversky designs that laminar flow didn't do much?

And of course, while trying to dig up stuff on the S-3, I also discovered that the FW-190, F4F, F6F, and F4U all share the same airfoil, and have radically different handling behaviours. And then there's the Clark YH, and the NACA 2219, so as you can see, my questions are multiplying without end.

Addendum: Command Prompt does not scare me, I've been using DOS since before I could read!
Though I will admit, some of the tutorials on .bat scripting get a bit ominous. And now we set up the logger to load without being visible to the user!

Trapezoidal wings generate far less drag compared to straight wings and elliptic shape is basically the perfect trapezoidal design.
Why wasn't it used in much more broader scale for it's superiority?
Answer lies in production - elliptic shape was and is much more complicated and expensive to produce. I guess this could also be the reason for the airfoil to keep it's shape over the years - maybe they used the same production lines throughout the war?

I think the usage of the S3 is based on purely pragmatic reasons - Seversky used this airfoil for ages, had lots of experience with it, tools to built it and more of that. Other manufacturers didn't. Same way others used the (similar) 23000 series, had experience with it, tools to manufacture. It wasn't worth the change for Seversky.

Laminar flow wings weren't really a WW2 thing, they were more of a post WW2 thing. How many successful designs with S3 airfoil did Republic do after 45? While I don't know, I don't think it were many, were it?