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Old   February 26, 2010, 14:16
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Faisal Durrani
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Hi guys i need your help. I have got a velocity profile of a buoyant plume both in the x-z and y-z planes. Once i got both the profile curves defining the velocity i need to find now the volume that these two curves occupy under them.
If im making you confused just think of an umbrella! I have got the profile in one direction through the umbrella and another profile perpendicular to it also going through the umbrella. Both these profiles will actually occupy the volume that the umbrella covers. but unlike an umbrealla the profiles of velocity i got are not symetrical and thus i need help to find the volume under these two perpendicular curves.

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Old   February 26, 2010, 16:47
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Since the curves are not identical & symmetric, you can't do the integration - You don't have enough information. The best you can do is make some assumptions & produce a crude estimate & maybe bound the potential range.

Presumably you have a 3D CFD solution. So you should be able to extract the complete velocity surface. This would allow you to do the ingeration.

I haven't rigorously worked through this. But it seems the volume you seek is the volumetric flow rate. If so and your geometry allows it, an easier method might be to extract the mass flow rate & average density then divide the two.
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