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Guess I'll just burn
(sh.itjust.works)
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this post was submitted on 22 May 2024
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Wait isn't this just some fluid physics equation?
Like, incompressible fluid flow, iirc.
It looks like it given the symbols used. P for pressure, rho for density etc. u-arrow is definitely a vector field, so it could be fluid flow. Otherwise it could be equally anything described by a vector field, like electromagnetism or gravity but they usually have a lot more E and G involved I think. I used to solve these but then I got a certificate so now I don't have to.
It's a fluid dynamics equation, cannot be analytically solved unless laminar flow assumption is valid.
It really reminds me of all those static and velocity pressure calculations I had to do in undergrad, until I got the degree.
u stands for velocity.
Naviers stokes equation looks incompressibility fluid. Only possible to solve it for strictly laminar flow.
https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equations#Incompressible_flow