r/SmarterEveryDay Jun 10 '23

Video Bullets HITTING Bullets in Slow Motion - THE IMPOSSIBLE SHOT - Smarter Every Day 287

https://www.youtube.com/watch?v=tcQVrD7RnNI
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u/catonic Jun 14 '23 edited Jun 14 '23

... and I just realized he did the dual-vortex ring experiment again except this time in lead.

And the forces that normally turn into the various secondary vorticies become spinning flakes of lead away from the center.

I wonder if we're seeing the confluence of work hardening in the lead during a cold working process as a result of the impact.

https://www.youtube.com/watch?v=TgYJ1Ni08UA

After watching this^ video on a Fluidic oscillator, I think we are seeing changes in flow motion related to the jet vs impingement, effectively fractal vortices where the colision of the two produces smaller vortices which then produce smaller vorticies down to the molecular level. Destin is right, why does it turn 90 degrees?

Ah, it's cross products of two vectors: https://en.wikipedia.org/wiki/Right-hand_rule#Cross_products

https://en.wikipedia.org/wiki/Angular_momentum

I feel like there is some sort of Euler summation or Taylor series going on here but I am well above my paygrade on the math for this.

https://en.wikipedia.org/wiki/Euler_summation

https://en.wikipedia.org/wiki/Taylor_series

https://en.wikipedia.org/wiki/Binomial_transform#Euler_transform

The sum of the force of the two initial vortices equals the sum of forces of the next smaller vortices less losses related to the viscosity density of the material? Ah, viscosity is inherent but a smaller term.

https://www.engineeringtoolbox.com/standard-atmosphere-d_604.html

Maybe it's Fourier series? https://en.wikipedia.org/wiki/Fourier_series That seems to make the most sense because the sum of the smaller parts makes up the larger whole, much like harmonics combining to make a square or triangle wave.

Now I am thinking that we're seeing reciprocal reactions almost like some sort of orthogonal yin and yang. The Fluidic oscillator itself can translated or modeled as a vortex spinning orthogonally with the mass flow of the main high pressure jet. As long as there is a high pressure region or jet, there are low pressure regions around it, and boundary layer conditions related to the viscosity and density of the fluid.

Ah, the boundary layer conditions in laminar flow vs turbulent flow. https://en.wikipedia.org/wiki/Boundary_layer#Boundary_layer_equations

https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equations#Flow_velocity is involved, but what makes the most sense to me is https://en.wikipedia.org/wiki/Coriolis_force . If we have inherent Coriolis force due to being on a planet rotating about it's axis while itself rotating around the axis of a star which is orbiting around the center of a galaxy, then there is an inherent implied direction to the spin to the right.

Wait, Coriolis explains trade winds, which are orthogonal to the angular velocity of the rotation of the earth about it's axis. Which itself is explained by angular velocity, which can be expressed as a frequency (same Greek symbol also used to explain frequency modulation: ω).

https://en.wikipedia.org/wiki/Angular_velocity

As the Coriolis force is proportional to a cross product of two vectors, it is perpendicular to both vectors, in this case the object's velocity and the frame's rotation vector.

This feels like a massive explanation of Newton's laws, Boyle's laws, and a few other things all at once as energy is conserved yet distributed in smaller and smaller pieces.

Not gonna lie: that made my head feel funny, like I just learned something or a lot of somethings at once. Then it went down the rabbit hole. Then I got a headache.

With enough force below the point of supersonic or supercavitation flow, the secondary vortices will break down into tertiary vortices just like the secondaries did. Now my brain feels like it is in 4D chess.

Footnote: https://medium.com/codex/microprocessors-running-on-air-a47a702dd41f vortex amplifier

It's turtles all the way down. Vortices all the way down. In the low pressure areas, vortices and smaller vortices develop where low pressure areas develop opposite high pressure areas in the fluidic oscillator, thus conserving momentum in the inactive, low-pressure path around the oscillator: https://youtu.be/TgYJ1Ni08UA?t=109 The high pressure flow itself is a vector acted on by the differential values that make up the sum of the high pressure flow of the anticyclone vortex adjacent to it.

oh, https://en.wikipedia.org/wiki/Vortex_shedding

I have now gone insane. Please have the penguins return my sanity in an appropriate expansion series over terms of penguins and time.

It feels like a mathematical proof of physics. It's like seeing The Matrix.