mathematical model

A mathematical model of rheological behavior of silica suspension in hydroxypropyl methyl cellulose solution was investigated. The model takes into account the friction between particle aggregates, particle aggregates and macromolecules in solution and between macromolecules in solution as well as the formation of well ordered layers contained solid particles, adsorbed macromolecules and macromolecules in the holes between particles in aggregates at the large shear rates.

Statics and kinetics of ammonium nitrogen absorption on natural zeolite were investigated experimentally under periodic conditions. A mathematical kinetics model was developed and a counterion diffusion coefficient was defined. The influence of phosphate compounds and protein on equilibrium and a rate of ammonium ion sorption was investigated

Kineticі of microorganisms accumulation (the first stage) and destruction (the second stage) in water dispersion in the air atmosphere and at bubbling of oxygen, argon and helium has been investigated. The accumulation of microorganism takes place in oxygen and in the air atmosphere at the first stage. The microorganisms destruction was observed at bubbling of the system by argon, helium during the whole process, however, in the air atmosphere and oxygen – in the second stage. 

A mathematical model of continuous granulation process of solid multilayer humic-mineral composites in the fluidized bed unit intended for liquid industrial wastes utilization with obtaining of complex granular fertilizers for environmentally safe agriculture was developed and the stabilization terms of the dispersion composition were defined.

Mathematical model of solid phase diffusive release during dissolving of capsulated spherical particle has been developed. The adequacy of the model to experimental data obtained for different compounds has been checked.

A mathematical model of mass transfer from lamina (plant leaf) into the extractant is constructed considering its anatomical organization in particular the existence of cellular and intercellular space. Its solution allows to predict kinetics of the extraction process of the whole leaves at its implementation in practice.

The kinetics of chemical transformations in water solutions of sodium chloride under conditions of plasma processing in gas-liquid periodic plasma-chemical reactor of blending was studied. The mathematical model including stages of oxidation of water molecules and chlorides-ions as well as stages of decomposing of metasable products of chemical transformations was offered.

A mathematical model of the chemical surface deposition process of CdS and CdSe thin films, which allows determining the concentration of reagents, as well as duration and temperature for CSD needed to obtain films of the set thickness was designed. The adequacy of model was tested by Fisher's criterion. The nomogram of dependence of cadmium ions content on the initial deposition parameters was built according to the results of experimental studies and approximated by mathematical dependence.

The carbon dioxide absorption by unicellular microalgae has been studied. The stages of the process have been examined taking into account the peculiarities of cultivation conditions, in particular the presence of cellular and intercellular environment. The constants realizing the mathematical model of carbon dioxide absorption from the air by microalgae cells have been determined. The obtained results allow to predict the absorption kinetics and develop the equipment for gas wastes cleaning while implementation of the industrial process.