FYFD

Tag: Saffman-Taylor instability

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    Dengue Dengue Dengue

    Musical duo Dengue Dengue Dengue create live audio/visual performances with fluid dynamics. Their visuals are created by adding various liquids and dyes atop an illuminated background. To add extra dynamism, they sometimes use a sheet of plastic to cover and pump the liquids, creating a pseudo-Hele-Shaw cell where they can trigger fluid instabilities in time to the music. The full performance in this video is nearly an hour long, but at least take some time to scrub through and see a few different sections. (Video credit: Dengue Dengue Dengue/Espacio Fundación Telefónica Lima; submitted by Tania S.)

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    Dendritic

    “What happens when two scientists, a composer, a cellist, and a planetarium animator make art?” The answer is “Dendritic,” a musical composition built directly on the tree-like branching patterns found when a less viscous fluid is injected into a more viscous one sandwiched between two plates.

    Normally this viscous fingering instability results in dense, branching fingers, but when there’s directional dependence in the fluid, the pattern transitions instead to one that’s dendritic. In this case, that directionality comes from liquid crystals, whose are rod-like shape makes it easier for liquid to flow in the direction aligned with the rods.

    For more on the science, math, and music behind the piece, check out this description from the scientists and composer. (Video, image, and submission credit: I. Bischofberger et al.)

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    A Broken Monitor’s Fingers

    In this short video, the artists of Chemical Bouillon explore a broken LCD monitor and its liquid crystals. By sandwiching the fluid between thin, transparent sheets, they create dendritic shapes as the liquid crystals and other fluids (air? ink?) push into one another. There’s a lot here that’s likely connected to the Saffman-Taylor instability, but without knowing more details on the ingredients and set-up, it’s hard to speculate beyond that. (Video and image credit: Chemical Bouillon)

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    Fingers of Clay

    Take a mixture of a viscous liquid – like clay mud – and squeeze it between two glass plates and you’ll create a mostly-round layer of liquid. As you pry the two glass plates apart, air will push its way into that layer, forcing through the mud in a dendritic pattern. This is called the Saffman-Taylor instability or viscous fingering. It occurs because the interface between the air and mud is unstable.  (Image and video credit: amàco et al.)

  • Growing Fingers

    Growing Fingers

    Branching, tree-like structures are found throughout nature. Take a thin layer of a viscous fluid pressed between two glass plates and inject a less viscous fluid like air and you’ll get branch-like structures. These are the result of the Saffman-Taylor instability and usually result in a fairly random outcome because of the instability’s sensitivity to small variations. In a new study, researchers use multiple air injection ports to finely control the formation and growth of air fingers, allowing them to build well-ordered branching structures like the one above. By placing the air ports in an array, the same technique can be used to create fluid meshes. The authors suggest this new technique could have wide-ranging applications including the design of heat exchangers and the growth of artificial tissues. (Image and research credit: T. ul Islam and P. Gandhi, source)

  • Porous Fingers

    Porous Fingers

    If you inject a less viscous fluid, like air, into a narrow gap between two glass plates filled with a more viscous fluid, you’ll get a finger-like instability known as the Saffman-Taylor instability. If you invert the situation – injecting something viscous like water into air – the water will simply expand radially; you’ll get no fingers. But that situation doesn’t hold if there are wettable particles in the air-filled gap. Inject water into a particle-strewn air gap and you get a pattern like the one above. In this case, as the water expands, it collects particles on the meniscus between it and the air. Once the concentration of particles on the meniscus is too high for more particles to fit there, the flow starts to branch into fingers. This creates a greater surface area for interface so that more particles can get swept up as the water expands. (Image and research credit: I. Bihi et al., source)

  • Geological Flowers

    Geological Flowers

    These strange flower-like formations appear in a former limestone quarry in France. The black that you see is bitumen, or asphalt. These dendritic structures appear in spots where the rock has fractured. Originally, two rock faces met here, with a thin layer of bitumen glued between them. As one face pulled away, air began to seep into the space between, slowly injecting itself into the more viscous bitumen. Just as we observe in the laboratory, the air and bitumen formed viscous fingers, creating a classic pattern known as the Saffman-Taylor instability. It’s so cool to see an example of this in nature! You can see more photos of the formations here. (Image credit: P. Thomas)

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    “Kingdom of Colours”

    Oil, paint, and soap combine to create a polychrome landscape in Thomas Blanchard’s “Kingdom of Colours” short film. Colorful droplets of paint coated in oil form anti-bubbles that skim along the liquid surface until they burst, dispersing new colors. One of my favorite touches in this video, though, are the branching fingers of color that appear repeatedly (most often in blue-violet). This is an example of a phenomenon known as the Saffman-Taylor instability. It’s a hallmark of a low viscosity fluid pushing into a higher viscosity one–like air into honey. (Image/video credit: T. Blanchard; via Flow Vis)

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    “Chemical Poetry”

    In “Chemical Poetry” artists Roman Hill and Paul Mignot use fluid dynamics to create incredible and engaging visuals. With a stunningly close eye to fluids mixing and chemicals reacting, their imagery feels like gazing on primordial acts of creation or destruction. There’s even a sequence that feels like you’re watching an explosion in slow-motion, but there’s no CGI in any of it. This is just the beauty of physics laid bare, revealing the dances driven by surface tension, the undulations of a fluid’s surface, and the dendritic spread of one fluid into another – all cleverly lit and filmed for maximum effect. It is well worth taking the time to watch the whole video and check out more of their work. (Image/video credit and submission: NANO; GIFs via freshphotons)

  • Fingering Under Elastic

    Fingering Under Elastic

    Take a couple panes of glass and stick a viscous fluid in between them; you’ve now constructed what fluid dynamicists call a Hele-Shaw cell. If you inject a low-viscosity fluid, like air, into the cell, you’ll get a beautiful finger-like pattern like the one shown on the left. If you change one of the walls to an elastic sheet, though, things get a bit different. The flexibility of the wall allows the upper surface to inflate as air gets pushed in. This can suppress the usual viscous fingers, as seen in the center animation. However, if you push the air in quickly, as in the right animation, the sudden inflation can wrinkle the elastic sheet. In this case, the wrinkles are the dominant influence, causing the the fluid to finger – but in an entirely different way than before! (Image credit: D. Pihler-Puzovic et al., sources 1, 2, 3; see also)