Suspension characteristic with the energy dissipation number

Suspension Characteristic With the Energy Dissipation Number E  

The energy dissipation number is derived from the Kolmogorov theory [289, 290]. This theory is based on the concept, that in the turbulent flow range the kinetic energy is transferred by inertial forces from large to ever smaller eddies, until it is finally dissipated through viscosity forces. The eddies produced by the stirrer have the size of the stirrer head and are responsible for the macroscopic turbulence, the smallest eddies on the other hand are directionless. On the microscale so-called isotropic turbulence exists, see Section 1.4.2. 

The turbulent fluctuacting velocities v are thus only dependent upon two parameters the energy dissipated in the system c and the kinematic viscosity v of the liquid. Thus the Reynolds number for a eddy is  

If A on the micro-scale is replaced by dp, the following relationship is obtained  

Kuboi et al. [303] have shown, that to a first approximation - accuracy 50% -the following can be written  

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