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November 12, 2021, 10:04 |
Looking for a non-parabolic circular flow
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#1 |
New Member
Sebastian
Join Date: Nov 2021
Posts: 4
Rep Power: 5 |
Hi guys and gals,
I am currently working on a (at least for me) hard homework. Without going to much into detail: Working with Stokes flow, I am trying to implement a superposition-solution for a very specific microfluidic problem. For that, I need a velocity-field in polar-coordinates with, that is not parabolic. My first try was to work my way through the Navier-Stokes-equations, implementing the following properties: - flow is incompressible - very low Reynolds number - flow is fully developed - flow is stationary - non-rotational - no angle-dependent flow changes So, I ended up with a Hagen-Poiseuille (HP) flow. That is, however, not really what I need, since is not linear in relation with the radius. In 2-D I could implement a Couette-flow without a problem. Could that maybe be a solution for a circular flow itself? Maybe I need to combine HP with Couette or something? To sum up: I am looking for a velocity-field w(r,phi) that has a linear dependence on r. Oh man I am lost on that. Maybe I am just overthinking. Thank you sooo much. I would really appreciate the help. |
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November 13, 2021, 02:50 |
Itīs done
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#2 |
New Member
Sebastian
Join Date: Nov 2021
Posts: 4
Rep Power: 5 |
Hey,
I have found a solution. Turns out, I was actually just overthinking stuff. Simply writing down the question helped a lot, though. So cheers and have a nice weekend. Thread can be closed. Cheers! |
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Tags |
couette flow, creeping flow, hagen poiseuille, stokes flow |
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