Re: Light Wing Loading
In my opinion, this is one the first threads I have seen for a while that has academic merit.
My comments below are all my opinion based on academic knowledge and practical experience of this topic, please take it as such and not as gospel.
While the current discussion is interesting to read, it does contain some contrasting views and statements and there are definite cases of comparing apples with oranges.
There is not a lot of literature available on ram-air airfoil flight characteristics and as such many use rigid wing theory as a starting point.
This seems accurate enough for our purposes until we enter a wingloading(WL) that introduces significant airfoil distortion.
That point seems to be somewhere between 2.0 - 2.1 lbs/sq.ft. for a high Aspect Ratio (AR) elliptical ram air such as the PD Katana.
This is based on my own experiences flying 107, 97 and 89 Katanas at an exit weight of around 190lbs.
PD's recommended and maximum weights for the Katana bear this out, as it shows a 97 to be the smallest Katana I would be inside the max weight for.
I found I liked the 97 better than the 107, as it went faster, but maintained its glide ratio (GR). It had a smaller flight speed envelope (full flight speed - stall speed) and shorter control stroke (toggle movement from the moment you start deflecting the tail to the moment you reach stall). It held with rigid wing theory in that at a higher WL it maintained a constant GR.
I did not care very much for the 89, as it seemed to have a disproportianally small flight speed envelope and high stall speed, in addition to a lower GR. This is not in keeping with rigid wing theory and I believe that can be ascribed to excessive airfoil distortion due the WL exceeding what a standard 9 cell ram air design can support.
To address this issue, manufacturer's developed crossbraced canopies to minimize airfoil distortion and thereby also allowed the use of a thinner airfoil section more suited to higher speed airflow.
This is a major design difference and one of the cases of comparing apples with oranges in this thread.
I found that crossbraced canopies in the same size range as the 89 Katana, would have significantly better GR, flight speed envelopes, control strokes and a lower stall speed. All of these are in contrast to what you would expect from rigid wing theory just looking at WL, but are effects of the design differences. The one flight characteristic that was notably worse on the crossbraced canopies was stability near stall, in stall and during stall recovery. Once again this largely due to the design attributes and therefore it is not really fair to compare the stall behaviour vs WL of a crossbrace to anything else but another crossbrace of very similar design.
Now, I will agree that stability near stall, in stall and during stall recovery does decrease with increasing WL for any given ram air parachute. However, the difference between two low AR ram airs of the same design but different WLs wouldn't be anywhere near as big a difference as between a low AR ram air and high AR crossbrace.
So for the purpose of this discussion it makes sense to limit our comparisons to BASE specific ram airs and the correlation between their flight characteristics vs WL.
People have noted that at low WLs canopies tend to open and pressurize slower. The reasons for this are several:
-Larger size
Mostly a BASEjumper comparing WLs would be doing so by comparing the same model canopies at different sizes. This introduces some other significant variables too. The most important of these would be the ratio of the combined area of the nose cell openings and bottom skin vents (if present) to the internal volume of the canopy. Pressurization time is directly proportional to this ratio. This ratio is not constant for different sizes of the same model of canopy, in fact, in decreases as the canopy size increases. The math behind that is:
Surface Area (canopy size) is a second order (square) function of linear size, i.e. Area = Span x Chord
Volume is a third order (cube) function of linear size, i.e. Volume = Span x Chord x Average Airfoil Thickness
Simply this means that larger canopies have less surface area to inflate their internal volume through and would therefore need more time or a higher airflow to do so.
I have seen two jumpers of very different size but very similar WL jump the same 230ft object with PCA deployments on the same model canopies and the time (and height used) difference was very significantly in favour of the 200 sq.ft canopy vs the 310.
The math for this one:
310/200 = 1.55 (ratios of surface areas)
square root of 1.55 = 1.24 (ratio of averaged linear dimensions)
1.24^3 (cubed) = 1.93 (ratios of volumes)
So the 310 has 1.55 times more surface area (and therefore in proportion 1.55 times more total intake surface area). The 310 also has 1.93 times more internal volume, putting it at a clear disadvantage for filling and pressurization times.
-Smaller difference in drag, weight and inertia between canopy and jumper, for lower WL and same size canopy. The same geometric principle as above regarding surface area to volume ratio applies to the jumper too. In this case surface area of the jumper is directly proportional to their drag and volume to their weight.
Now as for flight characteristics:
Full flight speed:
- increases with increasing WL
- increases with decreasing canopy size for a given WL (ratio of canopy's drag vs jumper's drag changes with size)
Stall speed:
- increases with increasing WL (usually at a higher rate than the full flight speed increases)
- increases with decreasing canopy size for a given WL
Flight Speed Envelope (Full Flight - Stall Speed);
- decreases with increasing WL
- decreases with decreasing canopy size at constant WL
Control Stroke:
- decreases with increasing WL
- increases with increasing canopy size at constant WL
Stability in near stall, stall and stall recovery:
- decreases with increasing WL
- increases with increasing canopy size at constant WL
Note: stall recovery will likely be faster at higher WL and/or smaller canopy sizes, albeit less stable. It may use more height than on a bigger canopy or lower WL but I feel this is an attribute of canopy design and I do not have enough empirical evidence to get a decent understanding of how this relates.
All the above statements apply to the same model of canopy at different sizes or WLs. As Tom A said, differences between models of canopies can have a much larger effect than those of different sizes/WLs of the same canopy.
Somehow this post became much longer than intended, so if you stuck it out, I apologize and congratulate you on your reading stamina!
cya
sam