The coupling of the two Fokker-Planck-Equations is done by the transactions at the weir, which is located at the end of the mixer. As soon as the truncation chamber next to the weir is filled up to the height of the weir, the sum of the filling degree of component 1 and the filling degree of component 2 is constant for all following time steps. The transport by dispersion and/or convection causes the filling degree at the end of the mixer. A rising above the given height of the weir causes an immediate discharging of the overflow over the weir. Based on the conservation of mass, the sum of the mass flows entering the last chamber from the previous one is the same as the sum of the mass flows discharged over the weir. The quantity of the discharged single mass flows is calculated by using the composition of the mass in the truncation chamber next to the weir. The coupling conditions used allow an extension of the model to as many components as wanted.
For the experimental validation of the mixing model used, it was necessary to
• generate defined concentration fluctuations entering the continuous mixer,
• determine the remaining concentration fluctuations in the outlet of the mixer,
• determine the average residence time of the particles in the mixer and
• compare the experimentally obtained reductions of concentration fluctuations as well as the corresponding average residence times with the calculated ones for different machine, process and product parameters.
Volker Kehlenbeck
Fokker-Planck NIR mixer paddle plowshare