An exact 3D tornado-like vortex solution


Liang Sun;


<正>The new exact solutions,depending on 3 parameters,describe the spiral path of the fluid material element on the Bernoulli surface. The first one is a continued tornado-like vortex solution,where there are two intrinsic length scales.One is the radius of maximum circular velocity r_m,the other is the radius of the vortex kernel r_k = 2~(1/2)r_m.The second one is a multi-planar solution,periodically in z-coordinate.Within each layer,the solution is a um-




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