Kinetics of deposition of carbon particles on plastic spheres

Abstract

The kinetics of particle deposition onto the surface of spherical collector particles suspended in a stirred batch vessel was investigated. The study considered monodisperse particle and monodisperse spherical collector particles. The Langmuir model for the deposition process was presented with model parametric study as well as model limiting cases of Smoluchowski analysis and equilibrium state. A method for obtaining the model parameters from model limiting cases was demonstrated. The model was experimentally tested by studying the deposition of small carbon particles onto plastic spheres. This is useful in the de-inking process of waste paper using plastic spheres. The obtained deposition curves are fitted to the model. The estimated parameters from model limiting cases are in agreement with those, obtained from the full deposition curves fitted to Langmuir kinetics. The maximum 431 ORDER REPRINTS number of carbon particles that can deposit on plastic particles is estimated theoretically from geometrical analysis. The estimated value is very close to that determined from the model.

Silica Nanoparticle Deposition on Natural Fibrous Substrates: Kinetic and Thermodynamic Studies

“…To validate the constants, the deposition of NPs at other concentrations was measured and the data fit well using eq and the constants (Figure D). The results also suggest that the NP assembly on the fiber surfaces follows the collision process and that the deposition rate constant is a characteristic parameter associated with the particle size …”

“…The results also suggest that the NP assembly on the fiber surfaces follows the collision process and that the deposition rate constant is a characteristic parameter associated with the particle size. 35 3.2. Determination of Thermodynamic Parameters and Quantifying the Hydrogen Bonding Contribution.…”

Kinetic models of supercritical fluid extraction

“…In analogy to the molecular adsorption process, Langmuir kinetics was also used, in recent studies, to describe the rate of particle deposition/ detachment onto and from solid surfaces [43,45]. Recently, the author developed an SFE model based on Langmuir kinetics, which was the first attempt to base SFE models on desorption kinetics [22].…”

“…The same Langmuir kinetics used for molecular adsorption onto solid surfaces, Eq. (10), was used in a model to describe the reversible particle deposition process in packed beds developed by Al-Jabari et al [43] and the corresponding model for stirred vessels also developed by Al-Jabari et al [45]. The solution obtained for particle deposition in stirred vessel [45] is similar to that for static SFE after modifying the initial condition [22].…”

“…Thus, the analogy between these two processes can lead to new SFE models. Such analogy is not limited to molecular adsorption; the paper also highlights the analogy with models for particle deposition developed by the author and co-workers [42 -44] and by other researchers [45,46]. In fact, those previous particle deposition models were developed, to certain extent, on the basis of analogies between particle deposition and molecular adsorption.…”