|
[Sponsors] |
How to get Pressure field from velocity field |
|
LinkBack | Thread Tools | Search this Thread | Display Modes |
October 13, 2007, 01:18 |
How to get Pressure field from velocity field
|
#1 |
Guest
Posts: n/a
|
Once I got a flow field which is divergence free, how can I calculate the coresponding pressure field then I can get the pressure drop.
Thx |
|
October 13, 2007, 09:04 |
Re: How to get Pressure field from velocity field
|
#2 |
Guest
Posts: n/a
|
Given a divergence-free flow field, the "pressure Poisson" equation can be used to calculate the pressure from the velocity.
|
|
October 13, 2007, 21:23 |
Re: How to get Pressure field from velocity field
|
#3 |
Guest
Posts: n/a
|
Could apply Bernoulli's Theorem whereby:
Cp = (P - Pref) / (rho.Vref^2 / 2) Cp = 1 - q^2 / Vref^2 where Cp = Pressure Coefficient, P = Static Pressure at x, Pref = Reference Static Pressure, rho = density, Vref = Reference Velocity Magnitude, q = Velocity Magnitude at x |
|
October 14, 2007, 02:03 |
Re: How to get Pressure field from velocity field-
|
#4 |
Guest
Posts: n/a
|
This implies you know Cp. It also applies to particular physics (check basic fluid dynamics books). The pressure Poisson equation suggested By Jonas is the answer. Apply the divergence operator to the Navier-Stokes equation and use "continuity" for incompressible flow to get the source term for the Poisson equation
adrin |
|
October 14, 2007, 07:38 |
Re: How to get Pressure field from velocity field-
|
#5 |
Guest
Posts: n/a
|
Of course you are both right on the Poisson equation being the most general solution for an incompressible flow.
However, for an invisid flow Bernoulli's is valid without knowing Cp - rearranging the original formula to eliminate Cp - gives static pressure directly as: P = Pref + (rho / 2).(Vref^2 - q^2) Given the original poster only specified they had a divergence free velocity field I presumed they may have obtained it from an inviscid methodology such as a panel method. |
|
Thread Tools | Search this Thread |
Display Modes | |
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
problems after decomposing for running | alessio.nz | OpenFOAM | 7 | March 5, 2021 04:49 |
Channel flow: Inlet pressure AND uniform velocity? | frmap1 | Main CFD Forum | 0 | April 15, 2010 10:32 |
Pressure field in atmosphere | Luc3er | FLUENT | 0 | November 9, 2009 07:07 |
Velocity in Porous medium : HELP! HELP! HELP! | Kali Sanjay | Phoenics | 0 | November 6, 2006 06:10 |
Neumann pressure BC and velocity field | Antech | Main CFD Forum | 0 | April 25, 2006 02:15 |