Spatial precipitate separation enhanced by complex formation

Population Mass Balance Model for Precipitation with Turbidity Measurements

“…The growth of the solid particles depends not only on supersaturation but also on the surface area of the particles present in the given volume . Thus, the growth rate of the solid precipitate ( r g = ∑ i r g, i ) can be expressed as r g = k g A p ( S − 1 ) K normals normalp V where k g is the growth rate coefficient.…”

“…Because the system is heterogeneous, it cannot be described by using solely the classical state variables, since the characteristic properties of the dispersed elements, such as their size, habit, structure, or configuration in continuous phase, have to be taken into account as well . In order to simulate systems coupled with precipitation reactions, the size, the composition, and the trajectory of each particle at every time instance must be calculated. , However, in some cases, for example, in industrial crystallization processes, the number of particles becomes vast to follow them individually . For these cases, the discretized population balance (DPB) model was developed by Hulburt and Katz .…”

“…5 In order to simulate systems coupled with precipitation reactions, the size, the composition, and the trajectory of each particle at every time instance must be calculated. 6 , 7 However, in some cases, for example, in industrial crystallization processes, the number of particles becomes vast to follow them individually. 8 For these cases, the discretized population balance (DPB) model was developed by Hulburt and Katz.…”