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basic fluid flow problem - is there a way to switch pressure to a flow rate in analyt |
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December 4, 2010, 12:02 |
basic fluid flow problem - is there a way to switch pressure to a flow rate in analyt
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#1 |
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vladimir nikolic
Join Date: Dec 2010
Posts: 2
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hello to all
i would like to know is there a analytical equation for pressure drop for problem of fluid flow through rectangular channel eg. i would like to prescribe Q (flow rate) instead of P (pressure) so is there a way to switch deltaP with some Q dependent formula thank you very much |
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September 15, 2016, 09:58 |
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#2 |
Senior Member
Jonas T. Holdeman, Jr.
Join Date: Mar 2009
Location: Knoxville, Tennessee
Posts: 128
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For fully-developed flows, the flow ∆ψ and pressure gradient ∇P are known to be related by a geometry-dependent Poiseulle constant cP, n·∇P = cP ∆ψ . See: G P Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol. I – Linearized Steady Problems. Springer-Verlag, New York, 1994, p309.
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September 15, 2016, 12:59 |
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#3 | |
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Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,882
Rep Power: 73 |
Quote:
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September 16, 2016, 05:07 |
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#4 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,882
Rep Power: 73 |
just to add that for laminar incompressible steady flow, you can solve exactly the velocity field from the problem
d2w/dx^2 + d2w/dy^2 = Re*dp/dz w=0 on the boundaries of the rectangular section where w=w(x,y) is the stream-wise (z-direction) velocity, normal to the (x,y) plane of the rectangular section. |
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