  It has been recently demonstrated, [3], that according to the principle of
release of constraints, absence of shear stresses in the Euler equations must
be compensated by additional degrees of freedom, and that led to a
Reynolds-type enlarged Euler equations (EE equations) with a doublevalued
velocity field that do not require any closures. In the first part of the
paper, the theory is applies to turbulent mixing and illustrated by propagation
of mixing zone triggered by a tangential jump of velocity. A comparison of the
proposed solution with the Prandtl's solutions is performed and discussed. In
the second part of the paper, a semi-viscose version of the Navier-Stokes
equations is introduced. The model does not require any closures since the
number of equations is equal to the number of unknowns. Special attention is
paid to transition from laminar to turbulent state. The analytical solution for
this transition demonstrates the turbulent mean velocity profile that
qualitatively similar to the celebrated logarithmic law.
