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May 29, 2013, 12:02 |
Setup Reynolds number channel flow
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#1 |
Member
Join Date: Nov 2009
Location: United Kingdom
Posts: 35
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Dear all,
I would like to know what is the general approach to impose a Reynolds number in a simulation of a channel flow with periodicity in the streamwise direction. I understand you have to consider a source term in the momentum equation which is given by friction forces, but how can I estimate this term? Besides, should I start the simulation from a stagnated field (zero velocity) or would it be better to impose a velocity close to the target velocity (the one giving the Re I want)? Any advise to help me to start this experiment is highly appreciated. Thanks in advance |
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May 29, 2013, 12:30 |
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#2 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
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Quote:
the source term can be expressed both in term of a pressure gradient and a mass flow. In the first case you can think of a constant gradient equivalent to the one you have in a Poiseuille flow. The additional pressure fluctuation is solved then by the elliptic equation. |
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May 29, 2013, 13:42 |
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#3 |
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Thanks for your quick reply.
So what you mean is basically to run an initial simulation to get a Poiseuille flow at the target Reynolds and then to impose that pressure gradient as source term in the next simulation, is it right? |
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May 29, 2013, 13:51 |
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#4 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
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but there is an analytical solution for the pressure gradient in Poiseuille flow ...
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May 30, 2013, 07:05 |
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#5 |
Senior Member
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The value of the pressure gradient is different between the laminar and turbulent cases (in order to achieve the same mass flow). Check this reference:
http://www.lamc.ing.unibo.it/aimeta2.../MEM-273-0.pdf |
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May 31, 2013, 14:46 |
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#6 |
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Oh excellent!
Thank you very much |
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