Mathstodon

0 posts0 participants0 posts today

Nicole SharpLike most microswimmers, these Synura uvella algae use cilia to swim. Cilia are tiny, hair-like appendages that flap to produce thrust. Even under a microscope, the cilia are hard to see because they are so thin and move quickly in and out of the microscope’s narrow focus. A cilia’s stroke is always asymmetric — no simple back-and-forth motions for them — because, at the algae’s scale, symmetric motion won’t move you anywhere. This is a peculiar feature of small swimmers in viscous fluids. At the human scale, we can mimic the same physics by mixing and unmixing fluids like corn syrup. (Video and image credit: L. Cesteros; via <a href="https://www.nikonsmallworld.com/galleries/2024-small-world-in-motion-competition" rel="nofollow noopener noreferrer" target="_blank">Nikon Small World in Motion</a>) Synura uvella algae swimming under magnification. <a href="https://fyfluiddynamics.com/2024/10/swimming-with-cilia/" class="" rel="nofollow noopener noreferrer" target="_blank">https://fyfluiddynamics.com/2024/10/swimming-with-cilia/</a><a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/biology/" target="_blank">#biology</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/cilia/" target="_blank">#cilia</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/fluid-dynamics/" target="_blank">#fluidDynamics</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/laminar-flow/" target="_blank">#laminarFlow</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/microswimmer/" target="_blank">#microswimmer</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/physics/" target="_blank">#physics</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/science/" target="_blank">#science</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://fyfluiddynamics.com/tagged/viscous-flow/" target="_blank">#viscousFlow</a>

Khurram Wadee ✅Using the mapping w → z+1/z, you get something that looks remarkably like an <a href="https://mastodon.org.uk/tags/aerofoil" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#aerofoil</a>.It is a <a href="https://mastodon.org.uk/tags/ConformalMapping" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ConformalMapping</a> meaning that angles are preserved during the mapping. In this animation, I’ve varied the imaginary part of the the eccentricity, while keeping the real part the same. With a zero <a href="https://mastodon.org.uk/tags/AngleOfAttack" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AngleOfAttack</a>, you can see the change in the airflow around the <a href="https://mastodon.org.uk/tags/wing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#wing</a> as its shape changes.<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#WxMaxima</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/Aeronautics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Aeronautics</a> <a href="https://mastodon.org.uk/tags/Aerodynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Aerodynamics</a> <a href="https://mastodon.org.uk/tags/LaminarFlow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#LaminarFlow</a>

Khurram Wadee ✅The <a href="https://mastodon.org.uk/tags/Zhukovsky" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Zhukovsky</a> <a href="https://mastodon.org.uk/tags/Aerofoil" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Aerofoil</a> (sometimes transliterated as <a href="https://mastodon.org.uk/tags/Joukowsky" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Joukowsky</a> from <a href="https://mastodon.org.uk/tags/Russian" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Russian</a>), is a 2D model of <a href="https://mastodon.org.uk/tags/streamlined" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#streamlined</a> <a href="https://mastodon.org.uk/tags/Airflow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Airflow</a> past a <a href="https://mastodon.org.uk/tags/wing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#wing</a>. It uses <a href="https://mastodon.org.uk/tags/ComplexVariable" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ComplexVariable</a> and is an <a href="https://mastodon.org.uk/tags/AnalyticFunction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AnalyticFunction</a> (i.e. <a href="https://mastodon.org.uk/tags/Differentiable" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Differentiable</a> everywhere, save at isolated <a href="https://mastodon.org.uk/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Singularities</a>). Take a circle in the <a href="https://mastodon.org.uk/tags/ComplexPlane" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ComplexPlane</a> which is not quite centred at the <a href="https://mastodon.org.uk/tags/origin" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#origin</a> but passes through the <a href="https://mastodon.org.uk/tags/coordinate" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#coordinate</a> (1,0) or (z=1+0i).<a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#MyWork</a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CCBYSA</a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#AppliedMathematics</a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#WxMaxima</a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FreeSoftware</a> <a href="https://mastodon.org.uk/tags/Aeronautics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Aeronautics</a> <a href="https://mastodon.org.uk/tags/Aerodynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Aerodynamics</a> <a href="https://mastodon.org.uk/tags/LaminarFlow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#LaminarFlow</a>

IT NewsImproving Wind Turbine Testing with a Better Air Source - When comparing the efficiency of different wind turbine blade designs, [AdamEnt] f... - <a href="https://hackaday.com/2024/06/17/improving-wind-turbine-testing-with-a-better-air-source/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://hackaday.com/2024/06/17/improving-wind-turbine-testing-with-a-better-air-source/</a> <a href="https://schleuss.online/tags/toroidalpropeller" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#toroidalpropeller</a> <a href="https://schleuss.online/tags/laminarflow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#laminarflow</a> <a href="https://schleuss.online/tags/windturbine" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#windturbine</a> <a href="https://schleuss.online/tags/greenhacks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#greenhacks</a> <a href="https://schleuss.online/tags/windenergy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#windenergy</a> <a href="https://schleuss.online/tags/windtunnel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#windtunnel</a>

IT NewsWind Tunnel Uses the Last Straw - If you watch the movies, there isn’t much to a wind tunnel. Just a fan and a tunne... - <a href="https://hackaday.com/2023/11/10/wind-tunnel-uses-the-last-straw/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://hackaday.com/2023/11/10/wind-tunnel-uses-the-last-straw/</a> <a href="https://schleuss.online/tags/laminarflow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#laminarflow</a> <a href="https://schleuss.online/tags/windtunnel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#windtunnel</a> <a href="https://schleuss.online/tags/science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#science</a>

Helge WurstAnother case of <a href="https://fosstodon.org/tags/FuckYeahFluidDynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FuckYeahFluidDynamics</a> and <a href="https://fosstodon.org/tags/LaminarFlow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#LaminarFlow</a>"Hydraulic microphone"<a href="https://www.youtube.com/watch?v=gXAg1SHdPxE" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.youtube.com/watch?v=gXAg1SHdPxE</a>

Benton GreeneI just thought the standing waves set up in this stream of water coming out of my water pitcher filter were mesmerizing. Video is 4x speed so you can see the evolution of the wave pattern as the pitcher fills.<a href="https://spacey.space/tags/fluids" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fluids</a> <a href="https://spacey.space/tags/fluiddynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#fluiddynamics</a> <a href="https://spacey.space/tags/laminarflow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#laminarflow</a> <a href="https://spacey.space/tags/surfacetension" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#surfacetension</a> <a href="https://spacey.space/tags/standingwave" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#standingwave</a>

StateofGaryLaminar flow in the sink <a href="https://universeodon.com/tags/FluidDynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FluidDynamics</a> <a href="https://universeodon.com/tags/LaminarFlow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#LaminarFlow</a>

Recent searches

Search options

Administered by:

Server stats:

#laminarflow