Viscosity: its appearance at ultra-short scale, viscous stream buckling and a novel approach to determine critical values of the Reynolds number for laminar-turbulent transition
The appearance of the phenomenon of viscosity from the interference of narrow quantumÂ wave packets is discussed. An estimate for the scale, on which viscosity disappears, is provided. TheÂ model of viscous streamsâ€™ buckling is used to determine values of the local Reynolds numbers, forÂ which transition to turbulence begins. A universal relation between the local and global critical valuesÂ of Reynolds numbers is derived. The values of the local Reynolds numbers are then used to estimate
the global critical Reynolds numbers, and the values obtained for some well-known flows agree wellÂ with empirically obtained values found in the literature.