[HN Gopher] Why are coffee stains darker at the edges?
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       Why are coffee stains darker at the edges?
        
       Author : michalpleban
       Score  : 126 points
       Date   : 2025-05-11 21:03 UTC (2 days ago)
        
 (HTM) web link (www.why.is)
 (TXT) w3m dump (www.why.is)
        
       | rolph wrote:
       | [supplementary]
       | 
       | Radial chromatography:
       | https://en.wikipedia.org/wiki/Radial_chromatography
       | 
       | when liquid phase is applied to impermeable solid, i.e. glass
       | sheet.
       | 
       | you have solid phase "radial" chromatography.
        
         | jampekka wrote:
         | This is not the same phenomenon though? Chromatography is based
         | on different adsorption affinity of the different molecules of
         | the liquid to the stationary phase.
        
           | rolph wrote:
           | oh it very much is!
        
       | neogodless wrote:
       | This has been a little mystery for me when I don't immediately
       | dispose of my pour over coffee filters. Similarly they end up
       | quite dark at the edge.
       | 
       | But as per the article, that's where most of the evaporation
       | happens, and more of the color is left behind there.
        
       | croemer wrote:
       | What the article doesn't emphasize enough: Pinning of the contact
       | line is crucial (e.g. due to surface roughness), otherwise the
       | ring would not be as pronounced. Due to higher curvature,
       | evaporation is faster at the edges, causing the non-evaporating
       | solids to flow to the edge leading to more of them there in the
       | end when everything has dried up. But on a smooth surface,
       | droplets just shrink. When they don't, you get the ring stain.
       | 
       | Relevant: https://www.nature.com/articles/nature10344
        
         | mseri wrote:
         | It is a bit annoying that the article does not link any
         | relevant research. There is a wikipedia page on the topic
         | (https://en.wikipedia.org/wiki/Coffee_ring_effect), but afaik
         | it is an interesting problem in many different contexts, for
         | example in inkjet printing (one can find plenty of articles
         | there as well).
        
           | croemer wrote:
           | Indeed, article appears to be old encyclopedia style, no
           | citations, oversimplified.
        
         | zengief wrote:
         | A better ref imo:
         | 
         | https://www.nature.com/articles/39827 (1997)
        
           | moregrist wrote:
           | This is the original seminal work on coffee drop evaporation
           | out of Sid Nagel's lab, with theoretical support from Tom
           | Witten and Todd Dupont and their students.
           | 
           | Like everything out of the Nagel lab, at least from that era,
           | it combines a keen curiosity about things we take for granted
           | with rigorous physical experiments and insight.
           | 
           | The Nagel/Witten collaboration was one of the many lovely
           | things at the University of Chicago in that era, and it was
           | always tremendous fun to see them present and get a glimpse
           | at how they approached problems.
           | 
           | It was like looking over the shoulder of giants: often
           | humbling and always educational.
        
       | vlan0 wrote:
       | Hmm not just coffee stains too. If you've ever had a water leak
       | on gypsum board, the edges of the water ring are darker.
        
         | Retr0id wrote:
         | I think that's a similar but different effect, as the water
         | travels outwards from the centre due to capillary action it
         | pulls particles with it.
        
         | cameronh90 wrote:
         | Also blood.
        
           | shagie wrote:
           | Side bit from some recent news about dried blood and its
           | crackle pattern... https://phys.org/news/2025-04-blood-
           | droplets-inclined-surfac... (saw it
           | https://news.ycombinator.com/item?id=43852446 though it
           | didn't get too much attention)
        
           | IAmBroom wrote:
           | Also all particulates.
           | 
           | It isn't about the chemistry of the suspended/dissolved
           | solids.
        
       | ape4 wrote:
       | At first I thought this website would be pages with title "Why
       | is..." but the .is is Iceland's TLD ;)
        
         | michalpleban wrote:
         | I am pretty sure they used this domain hack on purpose :)
        
         | jhaile wrote:
         | It's too bad they don't use more user-friendly URLs like
         | why.is/coffee-stains-darker-at-edges
        
           | ForOldHack wrote:
           | This is WHY I read HN daily. Omg.this.is.funny.org
        
           | any1 wrote:
           | This is exactly what I've done with my blog. See e.g.
           | https://andri.yngvason.is/repairing-the-washing-machine.html
        
       | rs_rs_rs_rs_rs wrote:
       | Hah! What a great domain name!
        
       | nashashmi wrote:
       | Evaporation is more at the edge. More of the water makes its way
       | to the edge. The water carries more color to the edge. So that is
       | why the ring of coffee color is formed.
       | 
       | But why is the water making its way to the edge all the time?
        
         | gibagger wrote:
         | Diffusion, more specifically capillary flow I think. Water will
         | flow from the saturated to the unsaturated areas.
        
         | Fnoord wrote:
         | My guess would be: because there is more space in the outer
         | ring than the inner ring.
        
         | michalpleban wrote:
         | Because it evaporates [mostly] from the edge, so new water
         | flows there to make up for it.
        
         | marcusverus wrote:
         | Gravity / water pressure. Consider an overly simplified
         | case[0]: A molecule "disappears" from the edge, leaving a
         | cavity (blue circle). Waiting to flow into the cavity are two
         | molecules, one on the inner side (red) and another on the outer
         | side (purple) of the cavity. Molecule on the inner side is
         | being "pushed" into the cavity by a much larger "body" of water
         | (pink) than is the molecule on the outer side (light purple).
         | So even though both molecules will move into the cavity, the
         | inner molecule will move farther. Repeat a few quintillion
         | times, and you've got directional flow from the middle to the
         | edge.
         | 
         | [0]https://i.imgur.com/mVOiwxH.png
        
         | andrewflnr wrote:
         | Because the drop/puddle is trying to keep its shape. I think
         | that's what the current top comment is saying about the contact
         | line being fixed. On rough surfaces the edge can't just retreat
         | as it evaporates, and if I understand correctly it also wants
         | to keep the rounded shape at the edge due to surface tension,
         | so water gets pulled in from the rest of the puddle to fill it
         | out.
        
       | Kaibeezy wrote:
       | This is the same reason suburban sprawl continues to grow despite
       | the reduced density at the edge. There's a premium for a
       | perception of being mostly surrounded by open space, out past all
       | the other housing developments and strip malls that are a back
       | towards the city. It creates a bump of economic gradient at the
       | frontier.
        
         | filcuk wrote:
         | I feel like that's completely unrelated.
        
           | ForOldHack wrote:
           | Exhibits the same behaviour.
        
             | IAmBroom wrote:
             | Coincidentally, ergo unrelatedly.
        
             | Kaibeezy wrote:
             | Basically the same curve. Reminded me of it. That's all.
        
         | noboostforyou wrote:
         | > There's a premium for a perception of being mostly surrounded
         | by open space
         | 
         | Maybe? In urban areas the opposite is true - rent goes up the
         | closer you are to a major subway station
         | 
         | https://www.renthop.com/research/nyc-mta-subway-rent-map-202...
        
         | harrall wrote:
         | People buy at the frontier because they can afford the housing
         | there, even at the severe loss of amenities.
         | 
         | Especially if the next 20+ years of their life is going to be
         | driving their kids to sports games anyway.
        
       | bloqs wrote:
       | Because of neurodivergence causing their perception
        
       | thisismyswamp wrote:
       | fluid pressure pushes particles outwards
        
       | nthingtohide wrote:
       | I think this was explained in a documentary by Discovery Channel
       | some 20 years ago. I remember it vividly. One application of this
       | was to use this process to manufacture very thin wires by
       | deposition of atoms.
        
       | logic_node wrote:
       | It's because as the coffee dries, the liquid gets pulled to the
       | rim, leaving all the coffee gunk behind in a ring. Turns out,
       | this same trick helps make better inks and paints too!
        
         | hydrogen7800 wrote:
         | I once noticed on a neighbor's garbage can, which had their
         | house number spray painted on it, that the paint had mostly
         | flaked off except around the edge of the numbers which was
         | adhered better. The paint would have been thinner from the
         | spray application.
        
       | Apocryphon wrote:
       | Serendipitously enough, I _just_ started skimming this book of
       | factoids I got from Five Below, and three questions in this
       | phenomenon is addressed:
       | 
       | https://www.google.com/books/edition/Do_Geese_Get_Goose_Bump...
        
       | Skunkleton wrote:
       | Is this completely correct? Coffee isn't homogeneous. There are
       | particulates and oils that will separate out. Anything pushed to
       | the top will also move towards the edge given the shape of the
       | droplet. There is also capillary action to consider. Seems like
       | there should be more than one effect that leads to the edges of
       | the stain being darker.
        
       | rdtsc wrote:
       | And of course, if you use LaTeX, and need coffee stains on your
       | paper there is a package for it:
       | 
       | https://ctan.math.illinois.edu/graphics/pgf/contrib/coffeest...
        
       | kazinator wrote:
       | Many kinds of stains are darker at the edges. It's because the
       | capillary action slows down there. The area of the stain
       | increases in proportion to r^2, and there is evaporation also.
       | Thus the stain only spreads to a certain size. As the solvent
       | thins out, it's not able to carry the pigment quickly, and so the
       | pigment particles pack closer together. Pigment is still arriving
       | from the center of the stain, but not moving farther out any
       | more, so it has to accumulate.
        
       | saltcured wrote:
       | I'm disappointed the article and all the comments here ignored
       | Mach banding...
       | 
       | On top of all the mechanism that would distribute the solids in a
       | bit of a ring, we also have a perceptual distortion that would
       | enhance the contrast a bit, making it look like a stronger
       | gradient than it actually is.
        
       | ozten wrote:
       | Glancing at the domain name, I got a burst of nostalgia for
       | whytheluckystiff.net.
        
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       (page generated 2025-05-13 23:01 UTC)