How to compute surface area of rising bubble
 

Hello,

Is there an accurate way to compute the surface area of a rising bubble as it deforms? I'm trying to compute the effective diameter using volume-surfaceArea ratio. I already computed the volume using (1-gamma[cellI])*mesh.V()[cellI]. Or is there an alternative way to compute the diameter? Thanks in advance.

Hi Foamers,

I'm still expecting a response on how to compute bubble surface area at the interface. I read on page 29 of OF2.1.1 programmer's guide that Sf() is the access function for face area vector so I called the area of each mesh using mesh.sf()[cellI] but it won't even compile. Below is what I tried even though I should use an averaged value between 0<alpha1<1 of neighboring cells instead of (1-alpha1) to represent the interface (I don't know how to do this either).

(1-alpha1[cellI])*mesh.Sf()[cellI]

Any suggestions on how to go about computing this area? Thanks.

I am not sure if you can calculate this accurately with simple integration. Maybe by integration of (1-gamma)*gamma, which is only non-zero at the interface (assuming you use interFoam). Howver, you will still get a volume, and not an area. Maybe if you divide this by the average interface thickness you get an estimate.

An alternative procedure, is to store the gamma=0.5 isosurface, and calculate the surface area of such a system by some external tools (I could not tell you how, however).

Thanks. I'll give your idea a little more thought.

You are mixing cell and face-adressing here. This won't work

My proposal: let OpenFOAM calculate a sampledSurface on the iso-surface of 0.5 (or whatever threshold you think is appropriate) then sum up area of the faces in that sampledSurface. The easiest way to do this (I think, but I'm extremely biased on this topic) is with swak4Foam: there is even a demo-case (a variation of the capillaryRise-case) where this (calculation of the interface-area) is done

I can't seem to find the actual demo case for this swak4Foam capillaryRise-case. Please provide a link for this demo case. Thanks.

Examples/other/capillaryRise

Thanks. I saw this link you gave from your Talk:Tip Surface elevation in time discussion. I've searched but all the links I found won't open for some reason. Few of these links are given below. That's why I requested you to provide the working link to the case. Thanks.

http://openfoam-extend.hg.sourceforg.../capillaryRise

http://openfoam-extend.hg.sourceforg...em/controlDict

What I gave was the location in the directory structure. I usually only give links to the repository as a whole and describe the location within. Especially for mercurial (and git) links like yours are bound to be outdated because they point to one specific revision. With the "relative" location anyone can click to the file (independent of the revision)

Oh, I get. I thought you meant that it was located at an online page. I've seen the case in the swak4Foam download that I use. I'll follow it to compute the interfacial area. Thanks for your awesome work on swak4Foam.

On a side note, I already some ran cases that takes days to complete. Is there a way to do some post processing using this tool without having to rerun my cases?

Hi Bernard,

I followed your advice to create an iso-surface with alpha=0.5 and used this to compute the surface area of the bubble. I did a little test run copying the additional code from system/controlDict file of your capillaryRise example and added to my 2D bubble test case but I have few questions here:

1) The surface area computed is quite large (3.32e-4) at 1st time step compared to (7.85e-5) obtained if you check with pi*R^2 as initialized. I used "area()" instead of your "area()/0.001" in my controlDict expression. I initialized with funkysetFields with radius of 0.005. This bring me to why you used "area/0.001" in the surface expression? My guess is you probably divided by the cellsize. I checked your blockmesh and the z-axis mesh width is 0.001. So I simply used "area()" instead.

2) How can I compute the volume in swak4Foam, do I simply use "volume()"? I want to compare with using (1-alpha[cellI])*mesh.V()[cellI].

3) can I compute the bubble center velocity similarly?

Thanks.



libs (
"libOpenFOAM.so" // keeps paraFoam happy
"libtwoPhaseInterfaceProperties.so"
"libinterfaceProperties.so"
"libsimpleSwakFunctionObjects.so"
"libswakFunctionObjects.so"
);

functions
(
createInterface
{
type createSampledSurface;
outputControl timeStep;
outputInterval 1;
surfaceName interface;
surface {
type isoSurface;
isoField alpha1;
isoValue 0.5;
interpolate true;
}

surface
{
type swakExpression;
valueType surface;
surfaceName interface;
verbose true;
expression "area()/0.001";
accumulations (
sum
);
);

Right. That was there to "normalize out" the thickness of the 2D-mesh

About the discrepancy in size: no idea. Of course the isoSurface is naive about what you want to achive. So if in your simulation you have a bubble and a water surface then an iso-value of 0.5 will pick up the bubble AND the surface (that would explain the order-of-magnitude error). A bit creative playing around with the expressionField-functionObject might help here

"(1-alpha)*vol()"

That depends on how you define the bubble center. The iso-surface will only help you if you define it by the surface. If you define it by the volume something like "sum(pos()*vol()*(1-alpha1))/(sum(vol()*(1-alpha1)))" calculated on the internalField might be what you want

Hi
I am not sure if swak4FOAM is something I need, but I have a question which seems to be related to this thread.
Do you know maybe how to extract isosurface of the field (e.g. field T, isosurface for T = 0) during runtime ?
I would need it coordinate in my solver.
Thanks
ZM

If you only want to extract/write the surface then there is a function object that comes with OpenFOAM. If you want to do calculations on it, then swak is your friend

BTW: T is NOT the temperature, right? Because then that isosurface wouldn't exist anyway

Thanks for your replay.
T is just some random field.
But I need to do this during runtime, in my solver, for farther calculations in my solver.
Not just passively to write on disc ...
Best

Then swak4Foam might be your thing. Have for instance a look in the swak-distribution at Examples/other/capillaryRise which calculates the properties of the surface. It is also possible to have these values feed back to boundary conditions etc (for details see the presentations that are linked from the swak-page in the Wiki). All this functionality is available in function-objects: the advantage is that you don't have to modify the solver (disadvantage is that you can only influence/measure at the end of a time-step. But functionality from swak can also be incorporated into a solver. But usually the functionObjects are sufficient)

Hi EveryBody
I want calculate bubble diameter,bubble surface area,surface diameter and rising velocity for simulation rising bubble (2D&3D) .how I can calculate these parameters? I see ,in this thread that use swak4Foam but I don't find in capillaryRise-case about diameter and Are you sure this code (in capilary case) is correct??

You haven't found the case (that is explained in the other posting) or in the case you didn't find the calculation of the diameter (I don't think there is one. Don't see how this would make sense for that kind of surface)

What do you mean with "is it correct"? You are doubting the expressions in the controlDict (I only sanity-checked them some time ago)? That's OK (doubting). These are just examples what can be done but the expressions for your application you've got to "develop" yourself

Thank you For Reply
I use capilary-case controldict for my case,and I have a question about that:
1-I want calculate surface area bubble and in this code I think :calculate surface.but when run my case,for first time step,surface area=pi*r^2 (am I right?/) but in my case I cant get this value.why??
2-for calculating changing diameter can I use this code??:3-how can I calculate relative velocity in rising bubble??
Thank you

Hi all,

i guess that the total interfacial area can be simply calculated using:

\Sum_i=1:N \grad\alpha_i * \deltaV_i

where N is total numer of cells in your domain. This gives you an area in m^2, so if your case is 2-D and you just need the lenght of the interfacial line you have to normalized by the thickness.

This is consistent with the CSF method implemented in interFoam.

Best

andrea