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Turbulence is a flow status while viscosity is the property of the fluid, so if there is a flow (surely there must be a fluid to flow), the viscosity is concerned.
Turbulence happens when the viscous stress can not dampen the instability of the fluid particle or control volume. Surely the instabily of particle motion is related with the fluctuation of teh particles, so called the Reynolds stress. So whether the flow is laminar or turbulence depends on the relative value of viscous stress and the Reynolds stress.
I do not know much about vortex dynamics. But as I think the vortexes are generated to dissipate the energy. Large eddies feed the energy to the smaller eddies and it keeps on going until the viscous effect (which is big enough to overcome the Reynolds stress at a certain small scale, Komogorov scale) dissipates the energy into internal energy. The energy dissipation also happens in large scales but mainly at the scales around the Komogorov scale.
Similar situation happens in the turbulent boundary layer. As the distance normal to the wall decreases, the viscous effect becomes dominant comparing to the Reynolds stress, so the flow becomes laminar.
The viscosity is a fluid property. Viscosity times the strain rate tensor (Newtonian fluid) represents the viscous stress, which means a fluid particle with small viscosity can also have the high local viscous stress if the local velocity gradient is high. |
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