LAST EDITED ON May-22-02 AT 07:01 AM (CST)Steve-
I wouldn't say a design flaw, but rather another challenge to be met in developing a plane with significant potential. All aircraft design involves compromise, some with heavy tradeoffs. But often enough to encourage us, problems can be solved without giving up too much. Doug's new plane's one quirk might turn out to have a convenient, clever fix!
Larry-
I am almost embarassed to submit this, since its relevant value is not proportional to its length! But having found some interesting stuff (some more relevant to earlier airfoil discussions) and re-written much of it due to being knocked off the internet while compiling the URL list below, I'll just go ahead, for whatever it's worth. Here goes...
I looked in my files for data to support some sort of "educated" response. The problem of addressing low-Reynolds-Number issues is lack of data from the major institutions involved in aeronautical research through most of the last century. Until the development of CFD and its availability to individuals, the only data I know of was from modelers themselves and some early wind-tunnel work done by agencies like our NACA (became NASA), which was still coping with tunnel interference and developing guestimates they called "effective Reynolds Numbers". By the time they solved these problems, they were more interested in higher speeds and more advanced airfoils. Besides those concerned with MPA's, ultralights, sailplanes, and models, few expressed any further interest in this realm until recently. There are probably some AIAA papers now (some data for AeroVironment's Pathfinder series??), but I don't have them.
Recently individual light plane developers and modelers, particularly in the R/C soaring ranks, have made progress in acquiring data with the more sophisticated tools. David Lednicer, Michael Selig, Martin Hepperle, Richard Eppler, Franz Wortmann, and others have furnished quite a volume of data, only some of which I have seen.
I don't know how reliable the current CFD codes are in predicting low-RN behavior, but I would expect them to give good comparative results. Moreso with the current inexpensive wing-section software. Using them, one could put in the NACA 00XX series coordinates (a couple already come with these in their own self-contained database) and use the mouse to thicken them in increments. The automatically generated graphs should show the stalling and max-lift trends.
Here are some sites to research:
NACA Technical Report Server (for free downloadable reports): http://naca.larc.nasa.gov/
NASA Technical Report Server (probably not much free text available): http://techreports.larc.nasa.gov/cgi-bin/NTRS
NASA CASI Report Server: sorry, couldn't get it to come up this AM.
UIUC Airfoil Data Site (Michael Selig, U. of Illinois; links to free shareware like X-FOIL, SNACK,...): http://amber.aae.uiuc.edu/~m-selig/ads.html
UIUC Airfoil Coordinate Database (David Lednicer; data to plug into shareware): http://amber.aae.uiuc.edu/~m-selig/ads/coord_database.html
Profili 1.2 (shareware that steals from Lednicer/Selig):
http://www.baronerosso.net/software/profili/profili1_2.htm
Lednicer's "Incomplete Guide to Airfoil Useage" (links to several sites): http://amber.aae.uiuc.edu/~m-selig/ads/aircraft.html
B-Squared Kuhlmans' article on effective dihedral (relevant to recent thread): http://www.b2streamlines.com/EffectiveDihedral.pdf
Now for what little I know...
"How does thickness affect Reynolds numbers...Would thicker tip airfoils exacerbate such problems or help?"
I'm not sure how to answer this, as my recollection is that RN is defined in terms of a linear dimension along the direction of flow. This provides a measure of scale effect, describing indirectly how many air molecules encounter the surface. While accelerations along curved surfaces are valid in determining Mach -Number effects, I don't think this would relate to scaling. Let's ask Brett!
I think that tip thickness does affect stunter handling because of stall behavior and 3-D flow phenomena, but here it gets complicated. Whether larger vortices might cause more problems than the tips otherwise solved (flap effectiveness near the tips? turbulence?) I don't know. It has been shown that extended tips giving narrower than elliptical chord distribution are the most efficient for a given root bending moment and that several small tips waste less energy to vorticity than single full-chord tips. These would be inherently thin.
"I've always assumed that there was something inherently good about a thick tip airfoil (supposedly it stalls AFTER the root?). But I'd love to hear an informed opinion on this aspect of CL stunter wings."
"Informed Opinion"...H-m-m-m-m... The blunter, rounded thickness taper should allow more circulation around the tip to delay stall as well as providing a "friendlier" airfoil - up to some limiting thickness. I know that Jim Bede (BD-5, at least) and others (possibly Jim Marske) employed thicker (in %) tips to avoid tip stall without washing out the incidence. Aside from early NACA work, I have seen little data on this.
Here is what I have found in the old literature - relevance varies, since this is derived from measurements of two-dimensional flow only:
1) At "normal" RN's (in the millions), the stall angle increases with thickness up to around 12-15% thickness and then decreases (but see #6 below). The greatest value of maximum lift occurs at about 13% thickness for symmetrical sections. This trend is biased by how far back the point of maximum thickness lies and by flap-induced camber. Flapped airfoils develop their significantly higher maximum lift at slightly lower stall angles of attack. Maximum lift coefficients seem to drop off as the point of maximum thickness is moved rearward.
2) At "normal" RN's, the minimum coefficient of drag (profile drag) increases with thickness.
3) At "Normal" RN's, The aerodynamic center moves forward from the 23%-chord point as thickness increases.
4) At "Normal" RN's, Lift curve (CL vs. angle of attack) slope decreases slightly with increasing thickness.
5) At "Normal RN's", and presumably for non-laminar series sections, maximum coeff. of lift decreases and profile drag increases as the point of maximum thickness moves rearward from the quarter-chord point.
6) Of the NACA symmetrical airfoils 0009, 0012, 0015, and 0018, the 0018 is the only one with only a gradually steepening minimum profile drag curve as RN decreases below 10^6. For high coefficients of lift (CL = .8 shown), the 0018 and 0015 may have the highest drag, but they are also the only ones not showing evidence of stalling, which has already occurred for the 9% section and is imminent at RN = 500,000 for the 12% section.
7) For NACA 230-series airfoils with split flaps, there seemed to be a trend of best efficiency for thicker airfoils as RN decreases, but the lowest RN shown was one million, where a 13-14% thick section was best.
8) In a report uncorrected for interference effects discovered later, the NACA 0018 airfoil has the highest maximum lift coefficient for all "Effective" Reynolds Numbers between 150,000 and 1,100,000. Above that, the 0012 and 0015 win out. That says that thick sections are best for C/L stunt. The 0018's lift-curve slope is however the lowest shown in the C/L stunt range. No thicker sections are shown.
Most of these trends/data come from NACA TR 610 (12/5/36), NACA TR 586 (6/24/36), NACA TR 669 (2/13/39), and Abbott and Von Doenhoff's *Theory of Wing Sections* (1949), the famous compilation of previous NACA work. Remember that these are basically two-dimensional effects whose application is compromised for 3-D flow at tips.
"Although Bob Geiseke's Bear has those little pointy tips, which I was assuming might be a design feature to deal with such..."
I really don't think shape has nearly as much effect on model tips as it does on the tips of "full-sized" aircraft wings. The success of rectangular-winged stunters seems to support this. This is an area where I feel that Reynolds Number is relevant. Since wing loadings of C/L stunters are much lower at 10 oz/ft^2 (=.6 lb/ft^2) than those of large aircraft (over 10 lb/ft^2), and tip area of C/L stunt wings of any shape are small compared to the pointiest of the large wings, it seems that models should be less affected. Shape does make a difference in vortex formation, but (I think) a proportionally much smaller one. However, this is a GOOD and convenient area in which to experiment - interchangeable tips aren't that difficult to make.
There must be some good CFD results out there for models by now. These would be able to predict low-RN tip effects much better than old infinite-aspect-ratio NACA results. While there is quite a lot of tip literature, I haven't seen data on tips at low Reynolds Numbers. Perhaps on a more practical level though, Doug is helping answer some of these questions.