# Circulation

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 June 16, 2010, 06:05 Circulation #1 Member   Hamed Join Date: Jun 2010 Posts: 43 Rep Power: 14 I am simulating a 3D piston/cylinder vortex ring generator in ANSYS CFX. I wonder how can I calculate the circulation in CFX? I want to calculate the vortex ring circulation and the total circulation discharged fron the piston. The renolds number is higher than 2000 Regards; Hamed

 June 16, 2010, 08:28 #2 Super Moderator   Glenn Horrocks Join Date: Mar 2009 Location: Sydney, Australia Posts: 17,326 Rep Power: 138 Can you describe what you are trying to model? A drawing would help.

June 16, 2010, 09:15
#3
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Hamed
Join Date: Jun 2010
Posts: 43
Rep Power: 14
In this article (ref. pic:0) they have done it experimentally. I want to do it in ANSYS CFX. pic 1 is the schematic of the apparatus. the vortix ring is in pic 2. in pic three the vector velocity field and vorticity contour is there. and pic 4 shows the circulation.
I want to know how can i calculate circulation in cfx.

Regards
Attached Images
 0.JPG (38.4 KB, 127 views) 1.JPG (24.3 KB, 130 views) 2.JPG (32.3 KB, 150 views) 3.JPG (53.1 KB, 122 views) 4.JPG (51.5 KB, 125 views)

 June 16, 2010, 18:41 #4 Super Moderator   Glenn Horrocks Join Date: Mar 2009 Location: Sydney, Australia Posts: 17,326 Rep Power: 138 So you have done the simulation and you want to post-process the results to get a representative circulation? The paper you refer to should define how they measure circulation. You will have to use their definition for comparable results.

 June 16, 2010, 20:41 #5 Member   Hamed Join Date: Jun 2010 Posts: 43 Rep Power: 14 They define it in this way: "For each case, the maximum circulation of the vortex formed (of either positive or negative sense) was measured by integrating the vorticity within an iso-vorticity contour (of a given sense)of 1 s−1." But I dont know how to do it in ANSYS CFX?

 June 16, 2010, 20:48 #6 Super Moderator   Glenn Horrocks Join Date: Mar 2009 Location: Sydney, Australia Posts: 17,326 Rep Power: 138 This is all stuff you can do in CFD-Post. Make a user surface defined by a contour of vorticity=1 [1/s]. Then do a surface integral of vorticity on that user surface using the function calculator. Easy.

 June 17, 2010, 01:21 #7 Member   Hamed Join Date: Jun 2010 Posts: 43 Rep Power: 14 thank you very much for yur help. So if I get you correctly: I define a plane and plot vorticity on that plane (with the vorticity magnitude of 1 s-1) then I should define the integral of vorticity on that contour. can you please tell me how do I define the surface integral for vorticity in the calculator of cfd-post? Once again thanks for your help

 June 17, 2010, 08:20 #8 Super Moderator   Glenn Horrocks Join Date: Mar 2009 Location: Sydney, Australia Posts: 17,326 Rep Power: 138 The CFX tutorials show how to do this sort of post processing.

 June 17, 2010, 22:15 #9 Member   Hamed Join Date: Jun 2010 Posts: 43 Rep Power: 14 Do you know any tutorial on this i could look? I would appreciate it if you can refernce any to me regards

 November 23, 2012, 06:03 #10 Senior Member     Ovi Join Date: Oct 2012 Location: Sydney, Australia Posts: 166 Rep Power: 12 "For each case, the maximum circulation of the vortex formed (of either positive or negative sense) was measured by integrating the vorticity within an iso-vorticity contour (of a given sense)of 1 s−1." If I am not mistaken you should be able to define an iso-surface which is defined my vorticity magnitude. This should then be coloured by surface integral or area integral of vorticity magnitude. The area or surface integral of the vorticity may be defined as an expression and then a scalar variable if it is not present in the set of standard results. __________________ -- Mechanical Engineering Sydney, Australia