Bernoulli's Equation applicability for vortex flows
 

Given the assumptions made for deriving the Bernoulli's Equation, is it possible to use this equation to understand the pressure-velocity relation in the core of a 3D vortex ?

For a channel flow(3D, u = cont, v=w=0) in a heat transfer problem, i am simulating vortex flows using delta winglet vortex generator(VGs) pair. Upper and Down boundaries of the channel are walls and side boundaries are assigned symmetry boundary condition. For two different VGsshapes, the pressure in the core of vortex produced by VG2 configuration is more than the pressure in the core of vortex produced by VG1. But if i think of Bernoulli equation in this case(as vortices are not "Forced" vortices), i should get velocity in the core of vortex produced by VG2 configuration to be less than the velocity in the core of vortex produced by VG1 but it is not the case as i am finding velocity of vortex of VG2 to be more than the velocity of vortex of VG1(Values found on a transverse plane which is perpendicular to the main flow). What is the mistake i am doing ? Also i am finding the velocity increasing from the core of the vortex to its circumference. Thanks

If you consider a real vortex core, the velocity is proportional to the radius due to the viscosity effects. Hence, in such region of strong effects of diffusion, Bernoulli is not valid.