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A fundamental principle of aeronautical engineering has been overturned (wired.com)
Maarten88 16 hours ago [-]
Any competitive sailor or foil-racer knows that the underwater surface has the least friction and best laminar flow when sanded with fine-grid sandpaper, around 1000 to 1500 grid.

It always surprised me that this was not true in air and airplane wings were supposedly best when glossy. So now it turns out that this is indeed not true, and airfoils also benefit from micro-roughness for lowest friction.

Now the surprising question to me is how is it possible that something so simple was not known in this very well-researched and well-funded field. It probably was known, just not by the paper-publishing researchers.

otterdude 15 hours ago [-]
The core tenant of the paper is that roughness reduces drag IN the transition zone. A very small region of the total flow.

Thats the region between laminar and turbulent flow. Laminar flow is typically 5x less drag than turbulent, and will be encountered about a Reynolds number of 500K-1M (ratio of inertial flow to viscous flow).

Surfboards will have a Reynolds number of 10^7 which is entirely turbulent.

A Cessna aircraft will have a Reynolds number of 1-5x10^6.

Maarten88 7 hours ago [-]
> Surfboards will have a Reynolds number of 10^7 which is entirely turbulent.

A fin, foil or daggerboard below the board/boat is operating well within the range of Reynolds' numbers where laminar flow is relevant.

mike_hock 14 hours ago [-]
> core tenant

And Lady Mondegreen.

bonsai_spool 10 hours ago [-]
Tenet is the word you mean
nnevatie 5 hours ago [-]
swoosh swoosh - that's the sound of things traversing backward in time.
12 hours ago [-]
zobzu 2 hours ago [-]
as usual these things are presented as new and revolutionary but aren't actually.

the specific process and implemention however are usually newer or slightly different from before.

this is our sensationalistic based society - any iterative progress, or sometimes even copy, is explained as a revolution.

now show me a 737 using 40% less fuel - guess what - that wont happen - however, perhaps we'll get a slightly better process to create aircraft skins. keep in mind you cant re-sand a fuselage every week, it needs to work reliably with no maintenance.

Arodex 9 hours ago [-]
Water is fairly viscous, and when you try to pull through too fast you completely change regime due to cavitation.

In comparison, from my days studying aerodynamics for RC soaring, air has a wider range of "viscosities" (represented by the Reynolds number) depending on the scale of your aeroplane and the speeds you intend to go through the atmosphere. The aerodynamic ideal or what count as useful tricks (winglets, dimples) can be fairly different for a a golf ball compared to a RC airplane compared to a commercial jet compared to a fighter jet...

stasomatic 2 hours ago [-]
Asking as a complete neophyte - how does this reconcile with modern war planes being inherently unstable as far they flight dynamics go, without their enormous thrust capabilities? I’m just curious, I know nothing about the subject, but it seems that the solution we came up with is thrust, baby.
naasking 5 hours ago [-]
Water is also largely incompressible. The fluid dynamics are just too dissimilar to air to carry over simplistic assumptions.
warumdarum 4 hours ago [-]
Wasnt there something about building abblative vortexes that convert the friction into rotation and are then discarded at the edge of the surface?
aeternum 16 hours ago [-]
I wonder how quickly airlines will adopt sanded/rough wings. It's also interesting that the efficiency of winglets were known for quite awhile but only somewhat recently have nearly all airliners adopted them.
rogerrogerr 15 hours ago [-]
It’s probably operationally easier to keep surfaces smooth than to keep them a specific amount of roughness.
delecti 1 hours ago [-]
Also matters a bit what happens to a surface that they don't do anything to. Does a precisely rough surface get too rough or too smooth? Does a precisely smooth surface get rougher in a way that's beneficial?

Could be the case that in-practice this means they just worry less as their perfectly smooth planes get a bit rough.

greggsy 15 hours ago [-]
It’s presumably easier to keep a smooth surface clear of bugs, dust and ice too.
swasheck 15 hours ago [-]
yeah. what are the effects of too much roughness? may be safer and easier to maintain at smooth than at a specific roughness spec
PaulRobinson 8 hours ago [-]
At least a decade.

I remember people could smoke on planes. On some airlines seat backs and bathrooms had cigarette ashtrays in them. Smoking was phased out between 1988 and 2000, with most airlines being smoke free in the mid-1990s.

But the ashtrays persisted well into the 2000s. Two reasons: they needed to refresh the cabins, which is on a longer maintenance cycle done every few years, and before that, they needed replacement seats and bathroom fittings without the ashtrays. That meant tests, regulatory approval, all sorts.

For ashtrays being removed.

Winglets are a similar story. They're an addition, but they needed test flying and type approval before they could be added to the maintenance cycle rotation and get added to aircraft.

This is a bigger change. Boeing and Airbus (and others), are going to need to design it, push it through CFD, build different variants, test fly them, get them through regulatory approval and then... well, existing aircraft are probably not going to get these. Too expensive, too hard.

What's going to make more sense is a new aircraft - even if it's a variant type like the 737-MAX or the A320-Neo or whatever - where they approve the type modification as a whole, but it's not a retrofit to an existing airframe, will help manufactures sell more aircraft, airlines don't need to ground existing fleet and over time the fuel efficiencies get involved.

bitdivision 8 hours ago [-]
The FAA still requires ashtrays in bathrooms interestingly. To avoid those who do smoke there using the trash and causing a fire:

  Regardless of whether smoking is allowed in any other part of the airplane, lavatories must have self-contained, removable ashtrays located conspicuously on or near the entry side of each lavatory door, except that one ashtray may serve more than one lavatory door if the ashtray can be seen readily from the cabin side of each lavatory served
https://www.law.cornell.edu/cfr/text/14/25.853
thaumasiotes 7 hours ago [-]
> For ashtrays being removed.

I don't think it's safe to generalize from this to a functional aspect of the plane. Removing the ashtrays serves no purpose, so there's no cost to letting it wait for a decade or two. Improving the aerodynamics does serve a purpose and might be done faster.

stackghost 14 hours ago [-]
Modifications to an approved type design, especially for commercial passenger aircraft, are an intensely bureaucratic and thus very expensive process. This is part of the reason why product cycles are long.
larusso 11 hours ago [-]
I thought that shark skin foil was a thing for years. Where they tried to emulate the micro roughness of shark skin.
plorg 11 hours ago [-]
The article says the investigators identify this as something fundamentally different than the shark skin effect.
lonely_wanderer 5 hours ago [-]
The article contrasts it with a manufacturing process known as “shark skin.” I wonder if it’s entirely identical to the skin of a shark or a marketing term?
larusso 3 hours ago [-]
Sorry the article is paywalled and I reacted to the comment about sanded surfaces. I remember seeing documentation or other nature documentation’s about the shark skin effect. I had the chance to touch a shark and a ray in an aquarium but never felt the shark skin foil. I assume the properties would be the same though.
dilawar 15 hours ago [-]
> and airfoils also benefit from micro-roughness for lowest friction.

I thought this was known to some extent that smooth surfaces are not always the best e.g. golf balls have dimples on them? No?

zobzu 2 hours ago [-]
dimples are used for stability and lift, not for friction reduction / low cx
dilawar 15 hours ago [-]
Never mind. I didn't read the article (paywalled) and someone in the comments below answered this exact point.
bookofjoe 6 hours ago [-]
16 hours ago [-]
colordrops 15 hours ago [-]
Yeah I'm pretty sure I remember reading something in a pop science magazine 20 or 30 years ago when MEMS nano structures were all the rage and how they were gonna use mass arrays of them on airplane wings to somehow increase flow
greggsy 15 hours ago [-]
Not uncommon to hear bold claims with every new and emerging technology that isn’t well understood by the media or general public. The excitement over nanobots seems to have run its course (for now?). Blockchain managed to find its way into every market imaginable. Battery technologies have consistently delivered bold claims on an almost yearly cycle, but we have at least seen incremental improvements. AI is obviously the worst offender in the current timeline.
wanderingmind 7 hours ago [-]
mlmonkey 19 hours ago [-]
> It's long been accepted that the smoother the surface, the lower the aerodynamic drag. That turns out not always to be the case.

Huh... I'd always heard that a golf ball's dimples help reduce drag?

djeastm 17 hours ago [-]
From the article:

>This principle is fundamentally different from the effect of dimples on golf balls. Dimples reduce pressure resistance by intentionally turbulizing the airflow and suppressing backward separation. DMR, on the other hand, delays the transition, thereby suppressing not pressure resistance but the wall friction itself. They are opposite mechanisms.

degamad 13 hours ago [-]
mlmonkey did not say that this new observation was the same phenomenon as golf ball dimples, just golf ball dimples already disproved the "long accepted" belief that "smoother the surface, the lower the aerodynamic drag".
kazinator 12 hours ago [-]
Exactly; golf balls are one example of it not being accepted that smooth surfaces are always best for drag, regardless of how the new result works.
kjkjadksj 1 hours ago [-]
They don’t though. Hit your golf ball into the cart path and see what happens after. Pro or competitive golfer will toss it and use a new ball.
stasomatic 2 hours ago [-]
Me too. Is it known by how much though in relatives percentage terms? Sometime things are just worth the effort. If larger than 20%… okay, but then if everyone uses dimpled balls (I understand they do), it’s just a thought experiment, then what’s the point. Why aren’t ping pong balls dimpled?
beering 18 hours ago [-]
TFA makes it clear that this is a very different phenomenon than golf ball dimples, and even goes as far as to say they are opposing.
coldtea 10 hours ago [-]
However the TFA doesn't make clear that this: "It's long been accepted that the smoother the surface, the lower the aerodynamic drag. That turns out not always to be the case" was already known to NOT always be the case (e.g. in golf balls).
Swizec 18 hours ago [-]
> Huh... I'd always heard that a golf ball's dimples help reduce drag?

Yep also vortex generators in cars have become common. So common that they've filtered down to after market parts you can put on a honda civic

Vortexes break up large air pockets and reduce drag.

SilverElfin 17 hours ago [-]
Is that what those things are on random civics? Do they make any difference for regular street cars?
ungreased0675 17 hours ago [-]
I put some (actual, as in from an airplane parts catalog) vortex generators on my hybrid. It slightly increased gas mileage and slightly reduced noise.

The less aerodynamic the vehicle, the more noticeable the result will probably be.

coldtea 10 hours ago [-]
>It slightly increased gas mileage and slightly reduced noise.

Between the day to day road conditions and different routes noise and the modest effect, I'd say this would be impossible to tell.

12 hours ago [-]
Ekaros 11 hours ago [-]
I read somewhere that it depends... Different shaped objects benefit from different surface effects. A rounded surface like ball benefits from dimples where as more straight surface like arrow would not. I have no idea but I could also guess that speed affects things.
cpncrunch 17 hours ago [-]
Read the article….this is a completely different effect.
12 hours ago [-]
NetMageSCW 16 hours ago [-]
Tough behind a paywall.
bookofjoe 6 hours ago [-]
cpncrunch 4 hours ago [-]
Not seeing a paywall in safari. Try incognito.
nmstoker 14 hours ago [-]
And the Mig-29 too but according to the reply that's different
dathinab 19 hours ago [-]
yep

and a lot of "smooth" aerodynamic surfaces have "microscopic"/"very small" surface patterns to make the surface less perfect smooth as if it is too perfect smooth the air kinda "sticks" to it increasing drag (to say it in a very unscientific way)

pfdietz 19 hours ago [-]
[dead]
aaron695 17 hours ago [-]
[dead]
Groxx 16 hours ago [-]
It's almost certainly my adblocker playing poorly with their "subscribe to read" stuff, but I had to lol at the failure mode. When I load the page, I get the splash image/headline, and below it:

> Subscribe to listen [9 minutes]

> Aerodynamic drag is a major “barrier” in high-speed airplanes, automobiles, and bullet trains. This is because a design with less aerodynamic drag allows the aircraft to move at higher speeds with less energy.

And then just comments and links to other articles. No indication at all that there's more to the article beyond (apparently) an audio recording.

This might explain some of the "didn't read the article" comments? Not that it doesn't happen anyway tho.

littlexsparkee 1 hours ago [-]
If you're quick to hit the play button (it briefly says 'Listen' on page load) with page inspect open, you can get the audio link in the network tab.
pwinwood 8 hours ago [-]
Same happened to me but I opened it in reader view in Firefox and it's fine!
gregman1 13 hours ago [-]
Same stuff! I’d rather prefer some archive link or something. Some websites are a bit aggressive these days.
bookofjoe 6 hours ago [-]
gregman1 13 hours ago [-]
If you happened to know Japanese it’s much easier to read the original article on wiredjp than .com https://wired.jp/article/distributed-micro-roughness-aerodyn...
sgc 19 hours ago [-]
If the application method is as rudimentary as sandblasting, it sounds rather simple to retrofit to existing aircraft. If it works as they state it does, it's a virtually free same-day fuel efficiency boost.

However, I did not see what the actual net improvement was. When they talk percentages, they are talking only about "in the transition zone". They say the coefficient improves throughout, but in theory, it could be almost irrelevant if the overall improvement throughout the profile is close to 0. It also sounds like a very difficult level of precise degradation to maintain for any period of time in real world conditions, since it would be easy to clog or abrade further.

imoverclocked 18 hours ago [-]
… theoretically meets reality pretty quick in aviation. You’ll likely find a lot of red tape to modifying any particular aircraft until it has been tested or certified. Well, for certified aircraft anyway. Even in the experimental world you might find some (excuse the pun) resistance to sand blasting someone’s wing.
zonkerdonker 18 hours ago [-]
Based on the mechanism of flow attachment in the transition zone it seems like the overall airfoil profile would likely have to change to take full advantage of the reduced friction. I think its much more likely to see this technique played with somewhere like Formula 1, if it hasnt been already.
russellbeattie 17 hours ago [-]
> "...like Formula 1"

Or projectiles like bullets and missiles. A sniper bullet with nanoscale textured surface that's able to go x% farther due to reduced drag seems plausible.

TomatoCo 16 hours ago [-]
On a metal as soft as copper I imagine that texture'll last about 30 minutes after it's issued to the soldier.
mauvehaus 16 hours ago [-]
Once the box magazine is loaded, it's not like the individual cartridges are being handled heavily.

Deer season involves a lot of loading and unloading a rifle (for those of use without removable magazines who are also bad at finding deer), and the bullets don't come out of it appreciably worse for wear. And that's for lead-free soft annealed copper ammunition. If you aren't being aggressively careless with your ammunition, it's not getting a lot of friction and scratches.

consp 13 hours ago [-]
Doesn't the barrel remove this texture completely with the spin groves? Seems more of an issue than rough handeling.
smallerize 16 hours ago [-]
What I've seen is a more structured texture applied with plastic films. https://www.lufthansa-technik.com/en/aeroshark One company claims up to 4% less fuel use. https://mako.aero/insights/delta-partners-with-mako-to-test-...
sgc 15 hours ago [-]
They allude to this alternative tech in the article, and I think it will stay the dominant approach because the far finer dimensions of the new tech talked about in the article, even if integrated into a film using glass beads as they also did, appears to be intrinsically much more susceptible to rapid functional degradation. It's about or less than the thickness of dirt / grime / bug goo. But tests will tell.
xbmcuser 15 hours ago [-]
Paint and finish on an airplane has to account for a lot more than aerodynamics. So you need to build it from the ground up as that coating could be the difference between the surviving daily temperature fluctuation for 10000 trip vs 1000 trips
leptons 12 hours ago [-]
The physics of travelling at 600mph+ would affect the rough surface differently than at 60mph. Airplane wings experience erosion due to the high speed combined with particles in the air - dust, ice, volcanic ash, and rain/water. The erosion is a problem that sees significant mitigation. If the surface were made to be rough I'd expect some unexpected results, and it may even become a bigger problem. I do think the technique should be tested though.
littlexsparkee 23 hours ago [-]
golddust-gecko 6 hours ago [-]
I feel like this part is either a mistake, or a whole story in itself:

> This premise was based on the results of a 1940 study by Ichiro Tani, a Japanese scientist who demonstrated the relationship between surface roughness (an indicator of the state of the machined surface) and turbulent transition, arguing that surface roughness, which was unavoidable with the manufacturing technology of the time, prevented laminar flow from being realized.

> However, in 1989 Tani reinterpreted the experimental data on rough-surfaced pipes obtained by fluid engineer Johann Nikulase in the 1930s, suggesting that “roughness may not necessarily only promote turbulent transition and increase fluid resistance.”

So if true, this means that Tani was working on the same problem for 49 years.

Evidently [he died in 1990](https://www.wikidata.org/wiki/Q24868684), so it's at least possible.

Liftyee 10 hours ago [-]
Interesting finding, but hardly fundamental. My fluids lectures taught that there's form drag ("pressure drag" in the article) and skin friction drag. The two trade off with each other depending on Reynolds number. Keeping the flow laminar reduces skin friction drag (suggesting smooth skin), but keeping the flow attached for longer (e.g. by inducing turbulence, or injecting air...) reduces form drag (at a cost of increased skin friction due to turbulence).

Reads like they've discovered a neat way to delay flow separation while maintaining laminar flow, but the underlying principles have not changed. "Smooth thing low drag" was never a rule and only works at certain scales.

dotancohen 13 hours ago [-]

  > The ... magnetic support balance system ... can levitate a streamlined model ... inside a wind tunnel without contact using electromagnetic force.
That's pretty cool. Presumably the varying magnetic field strength required to suspend the test article is also an indicator of varying forces on the vehicle.
12 hours ago [-]
adverbly 17 hours ago [-]
I'll await the experimental measurements of fuel efficiency using real aircraft.
drpixie 16 hours ago [-]
Me too. The number of "revolutionary" designs that are announced but disappear makes me cynical. Looking wings on real aircraft, unless freshly painted, they're pretty close to finely sanded :) If the airlines and engineers saw a significant performance degradation with wear, they'd be out there polishing and repainting wings.

On a similar note - How many times have you seen announcements about someones blended wing that is going to save 50% fuel? But there are very few blended wings in nature (eg. rays), and those are in a very slow-speed regime.

dnautics 16 hours ago [-]
The real obstacle to blended wing designs, I imagine, is more boring: airports are likely to be difficult to retrofit to support those, well for cargo anyways, and for passengers there's probably less appetite to board such a plane
dnautics 16 hours ago [-]
Is this not useful in the speed regime of automobiles?
matt-attack 4 hours ago [-]
I’d be curious to know if this sort of thing could’ve been predicted through computer modeling. And if not, does that mean, we have a gap in our fundamental fluid equations?

And if so, couldn’t we just have a model iterate on different surface patterns and optimize?

adas0693 13 hours ago [-]
fyi: the paper cited in the wired article is at https://arxiv.org/abs/2603.23843
felineflock 4 hours ago [-]
Any chance golf ball dimples in the wings would make it better?

In a golf ball, the dimples create a turbulence in a layer of air around it but results in higher lift due to smaller vortex and less drag.

w10-1 16 hours ago [-]
Klaus Savier is a longtime efficiency experimentalist, and opted for unpolished paint circa ~1990. His initial goal was weight reduction but numbers showed the finish had aerodynamic benefits.

I'm intrigued by the methodology of the wind tunnel: using magnets to more precisely measure and to avoid interference from guy wires...

5 hours ago [-]
Soling20 5 hours ago [-]
Question, should both sides of a lifting foil be the same of the same texture?
tobadzistsini 16 hours ago [-]
This reminds me of the Dimple Car Experiment from Mythbusters.
14 hours ago [-]
zabi_rauf 15 hours ago [-]
Aren’t Turbulators doing similar thing i.e. its keeps the boundary layer for longer before it totally turns into turbulent layer?
mike_hock 14 hours ago [-]
> You’ve read your last free article.
charles_f 14 hours ago [-]
You can worked around that in Firefox by switching to focused reading
philip1209 15 hours ago [-]
Fascinating.

I wonder what the implications for radar-absorbing finishes are. Could they be more aerodynamic already?

qwertyuiop_ 18 hours ago [-]
Tell that to the ice build up on the wing.
joarv0249nw 9 hours ago [-]
I was thinking the same. Ice build upp will probably increase with a bigger and rougher surface area
20 hours ago [-]
14 hours ago [-]
wizardforhire 16 hours ago [-]
This article and thread has got some major Tai’s Model vibes [1]

[1] https://en.wikipedia.org/wiki/Tai%27s_model

fnord77 4 hours ago [-]
> Experimental results showed that the critical Reynolds number at which the turbulent transition begins increased from approximately 1.9 × 10⁶ to 2.2 × 10⁶ for the DMR-coated model, and drag was dramatically reduced by up to 43.6 percent in the transition zone.
librasteve 5 hours ago [-]
balls! (golf balls)
rawgabbit 18 hours ago [-]
Uhh. I was taught that in university in the late 80s. Some surfaces have a lot of friction and if you add surface imperfections the turbulent airflow actually reduces drag.
clnhlzmn 17 hours ago [-]
You learned something different then because this finding is that some kinds of additional roughness delay the transition to turbulent flow which is pretty clear in the article.
fsagx 15 hours ago [-]
https://phys.org/news/2014-01-smooth-rough-surfaces.html

A quick search looks to show the same general topic from more than a decade ago. I too have a recollection of this being discussed in the late 80s or early 90s. Maybe some folk wisdom that's just now getting quantified.

rawgabbit 15 hours ago [-]
Thanks for clarifying.
brador 11 hours ago [-]
Does this same principle make the moon orbit a little faster?
defrost 11 hours ago [-]
What order of aerodynamic drag does our moon in orbit experience?
hexobhi 7 hours ago [-]
[flagged]
6stringmerc 19 hours ago [-]
I wrote about this ages ago, in that shark skin is an evolutionary adaptation worth study because water is thicker than air, but when air compounds, blah blah blah. Basically think of making a composite mold with directional tiny tiny dorsal fin looking surface. If you rub your hand on it the wrong way it cuts you open. Could even be scaled for large cargo ship hulls.

Next up: my personal wing invention which uses leading edges modeled on humpback whale fins, because the use case / stall profile is better.

Sigh, I’m going to have a great time in Heaven chatting with Leonardo da Vinci…

r3trohack3r 19 hours ago [-]
From the featured article:

> This technology is fundamentally different from the “rivulet (shark skin) process,” which is known as a typical aerodynamic drag reduction technology. The rivulet process mimics the fine longitudinal grooves in shark skin, and by carving grooves approximately 0.1 mm wide along the direction of airflow, it aligns the vortices that occur near the wall surface of turbulent airflow areas. DMR, on the other hand, delays the switch from laminar to turbulent flow by means of random and minute irregularities. The flow zones it affects and the mechanisms it employs are based on completely different concepts.

spacedoutman 16 hours ago [-]
>humpback whale fins

you might find this video interesting then, the fastest rc drone in the world and it uses humpback inspired props.

https://www.youtube.com/watch?v=k9n1h0rn9No

wafflemaker 17 hours ago [-]
Why wait for heaven. There probably are mods for Kerbal Space Program with exactly that parts. Create your wingsuit there.
jdkee 15 hours ago [-]
Golf balls.
bediger4000 23 hours ago [-]
This article is kind of false. Keeping an object's boundary layer attached is known to reduce drag, even if the flow is turbulent. Golf ball dimples are a successful attempt to keep boundary layers attached.
staplung 20 hours ago [-]
The headline is perhaps overstating things a bit but they do discuss how this is different than e.g. rivulets

''' This technology is fundamentally different from the “rivulet (shark skin) process,” which is known as a typical aerodynamic drag reduction technology. The rivulet process mimics the fine longitudinal grooves in shark skin, and by carving grooves approximately 0.1 mm wide along the direction of airflow, it aligns the vortices that occur near the wall surface of turbulent airflow areas. DMR, on the other hand, delays the switch from laminar to turbulent flow by means of random and minute irregularities. The flow zones it affects and the mechanisms it employs are based on completely different concepts. '''

toss1 20 hours ago [-]
Yes, but this is not that.

Golf ball dimples are about 4 mm across and 0.2mm or 200μm (micrometers).

These features are several orders of magnitude smaller at 38 to 53μm diameter.

>>the first in the world to demonstrate that aerodynamic drag can be reduced by up to 43.6 percent simply by applying distributed micro-roughness (DMR), a surface roughness so fine and irregular that it cannot be distinguished by the naked eye. [...] Two types of DMRs were used in this experiment: A convex pattern made of glass beads with diameters ranging from 38 to 53 micrometers (μm) and a concave pattern applied by sandblasting. The height of the DMR coating is only 1 percent of the thickness of the boundary layer and is classified as a “smooth surface” from a hydrodynamic point of view.

nullhole 17 hours ago [-]
Not to be that guy, but 38-53um is 1 order of magnitude smaller than 200um
toss1 16 hours ago [-]
Not to be that guy ;-) , but the diameter of the golf ball dimples is ~4 mm or about 4,000 μm, whilst the diameter of the spheres is 38-53 μm, or about 0.04 mm.

Diameter-to-diameter seems like about 100x or two orders of magnitude?

Similarly, 200 μm is the golf ball dimple depth (oops, just noticed I dropped that key word), and they didn't give us a measurement of the depth of the dents caused by the spheres or sandblasting, but it would likely be significantly less than half the radius of the spheres?

Sorry about misleading with dropping the "depth" word.

doginasuit 20 hours ago [-]
"We apologize for the mistake in overturning a fundamental principle of aeronautical engineering, those responsible have now been sacked."
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