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Poiseuille flow with pressure inlet problems

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Old   November 8, 2011, 15:40
Default Poiseuille flow with pressure inlet problems
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Jun Yang
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Dear all,

Has anyone ever simulated Poiseuille flow with pressure inlet and pressure outlet, as well as body force. I am trying to simulate the body force driven poiseuille flow with 0Pa at inlet and outlet. But the result is much smaller than analytical solution. Also, I tried to set up pressure at inlet equivanlent to the body force case, which means P=rho*bodyforce*length. The result is still smaller than analytical solution.
Have anybody met this problem before? Could you share your experience with me? I have been persecuted in this problem for a long time. Really appreciate!

Jun
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Old   August 14, 2012, 11:13
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Jakub Pola
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Hello,

I was simulating this problem and I have similar problems like you.
I have a cylinder 3.5mm in diameter and 21mm long. I was forcing flow by setting pressure difference between inlet and outlet (6.5Pa).
From the calculations(mu=3.5e-3Pa/s, nu=3.3e-6m^2./s, rho = 1050kg/m^3 - like human blood) I should obtain V_max=6.7cm/s but from simulation I've got 6.3cm/s. I'm little bit frustrated now.

I'm simulating laminar incompressible flow using simpleFoam.

p
Code:
dimensions    [0 2 -2 0 0 0 0];

internalField uniform 0;

boundaryField
{
    wall
	{
		type zeroGradient;
	}
	inlet
	{
		type fixedValue;
		value uniform 6.5;
	}
    outlet
	{
		type fixedValue;
		value uniform 0;
	}
}
U
Code:
dimensions    [0 1 -1 0 0 0 0];

internalField uniform (0 0 0);

boundaryField
{
	wall
	{
		type fixedValue;
		value uniform (0 0 0);
	}
	inlet
	{
	    type pressureInletVelocity;
        value uniform (0 0 0);
		
	}
	outlet
	{
		type zeroGradient;
	}
}
I have following mesh prepared in enGrid from STL


Does anybody have some suggestions what might be wrong with my simulation?

I was thinking if maybe the lenght of the pipe is too short. How can I put the fan BC on my inlet and outlet to make this geometry infinite?

Thank you very much in advance for any suggestions
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Old   August 15, 2012, 02:57
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Daniel Tanner
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Your answer is pretty close so likely to be solver/mesh related.
What was the order of the schemes you have used, third order MUSCL etc?

Also your mesh is not ideal. Firstly to get the best result (which still will not be exact) you should be using hex elements. In any case I would suggest that the pentahedral boundary layer to tet core element transition is not ideal. The tet elements adjacent to the pentahedral elements are slightly skew.

How far are you pushing the residuals. Your convergence monitors should have as low a threshold as possible to get the most accuracy.

You are applying a pressure boundary condition but is this as a periodic condition or only as a pressure condition. If it is the latter then there will be a significant length of pipe needed to ensure the flow was sufficient length to become fully developed.

At the end of the day how close do you need it to be? The velocity along the centerline is within 6% which is pretty reasonable for most modelling applications.

Just some thoughts.
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