How to calculate swirl without using swirl generators
Sir,
I am working on simulation of combustion process in axial flow gas tubine combustor. The main reference journal paper has s 2D model and no information about the swirler. They have solved for swirl number 0.37,0.76 and 1.2. The air inlet ratios are as follows primary(axial):secondary(axial):dilution(axial) as 5:7:8. Now, I am looking forward for a method to calculate swirl. Is there any formula/method to calculate swirl in terms of velocities. I request you to help me. 
I believe the swirl is defined (in tensor notation) as 2Wik=Ui,k  Uk,i (where Ui is the velocity vector and "," denotes covariant derivative), i.e., the antisymmetric part of the strain rate tensor. In 2D xy plane flow the only nonzero Wik's are Wxy = Wyx = (Ux,yUy,x)/2.

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