Viscous vortex layers subject to more general strain and comparison to isotropic turbulence

Viscous vortex layers subject to a more general uniform strain are considered. They include Townsend's steady solution for plane (corresponding parameter $a = 1$) in which all the of layer goes toward vorticity stretching, as well Migdal's recent asymmetric axisymmetric ($a 1/2$) half into stretching. In addition considering asymmetric, symmetric and antisymmetric solutions $\forall \ge 0$, it is shown that < 1$, i.e., anything less than Townsend case, inherently decays time: only boundary conditions maintain supply at one or both ends lead non-zero state. For super-Townsend case > states have sheath opposite sign vorticity. Comparison made with homogeneous-isotropic turbulence average eigenframe layer-like, has wings vorticity, configuration found be super-Townsend. Only zero-integral perturbations 1$ stable; otherwise, grows. Finally, appendix shows flow (apart from an extra term) Reynolds-averaged Navier-Stokes equation.