Scale-up Based on Energy

Scale-Up Based on Energy Since large mills are usually sized on the basis of power draft (see subsection Energy Laws ), it is appropriate to sc e up or convert from batch to continuous data by... 

Limitations on this guideline would be high-density crystals that require possibly damaging higher speeds to achieve the just-suspended condition. In addition, antisoivent and reactive ciystallization applications may require higher speeds to prevent local supersaturation at the point of addition. In the latter case, scale-up based on equal local energy dissipation at the point of addition may be necessary. 

The basic structure of the battery is the same as the electrodialyzer a plurality of a pair of cation and anion exchange membranes is alternately installed to form the concentrated and dilute compartment between electrodes at both ends. Then the concentrated and dilute solutions flow into each compartment and electric power based on the membrane potential is taken out from the electrodes. Various ion exchange membranes have been examined to calculate the energy conversion efficiency.284 A maximum power would be 0.33 Wm-2/pair when 0.57moll-1 solution (concentrated stream) and 0.026 mol l-1 solution (the dilute stream) are fed into a electrodialyzer with 30 pairs of cation and anion exchange membrane (effective membrane area 232 cm2).283 Also, it is calculated to be 0.6 W m-2/pair of electric power in an ideal scale-up based on experimental data when 30 gl-1 and 3 gl-1 solutions flow into the concentrated and dilute compartments.285... 

In the chemical industry (on the mega- as well as the micro-scale) fine emulsions have many useful applications in, e.g., extraction processes or phase transfer catalysis. Additionally, they are of interest for the pharmaceutical and cosmetic industry for the preparation of creams and ointments. Micromixers based on the principle of multilamination have been found to be particularly suitable for the generation of emulsions with narrow size distributions [33]. Haverkamp et al. showed the use of micromixers for the production of fine emulsions with well-defined droplet diameters for dermal applications [38]. Bayer et al. [39] reported on a study of silicon oil and water emulsion in micromixers and compared the results with those obtained in a stirred tank. They found similar droplet size distributions for both systems. However, the specific energy required to achieve a certain Sauter mean diameter was 3-1 Ox larger for the macrotool at diameters exceeding 100 pm. In addition, the micromixer was able to produce distributions with a mean as low as 3 pm, whereas the turbine stirrer ended up with around 30 pm. Based on energy considerations, the intensification factor for the microstirrer appears to be 3-10. 

The conventional scale-up criteria scale-up with constant stirrer speed , scale-up with constant tip speed and scale-up with constant specific energy input are all based on the assumption that only one mixing process is limiting. If, for example, the specific energy input is kept constant with scale-up, the same micromixing behaviour could be expected on different scales. The mesomixing time, however, will change with scale-up as a result, the kinetic rates and particle properties will be different and scale-up will fail. 

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