scholarly journals Modeling of colloidal systems in technological processes

2021 ◽  
Vol 931 (1) ◽  
pp. 012005
Author(s):  
E V Belenko ◽  
P A Sakharov ◽  
A V Khvatov ◽  
Yu K Lukanina

Abstract The article describes the main methods of mathematical modeling of industrial free-dispersed systems. The method of constructing the regression equation by the method of linear and nonlinear installation of coefficients is proposed. The fundamentals of tensor and harmonic approaches to the analysis of disperse systems are considered, which allow optimizing the equations of material and energy balance in the conditions of industrial operation of dispersions.

Author(s):  
V. M. Artyushenko ◽  
V. I. Volovach

The questions connected with mathematical modeling of transformation of non-Gaussian random processes, signals and noise in linear and nonlinear systems are considered and analyzed. The mathematical transformation of random processes in linear inertial systems consisting of both series and parallel connected links, as well as positive and negative feedback is analyzed. The mathematical transformation of random processes with polygamous density of probability distribution during their passage through such systems is considered. Nonlinear inertial and non-linear systems are analyzed.


Author(s):  
Lyudmila P. SEMIKHINA ◽  
Daniil D. Korovin

A Brookfield DV-II + Pro rotational viscometer was used to study the viscosity of 7 samples of concentrated nanodispersed systems (nanofluids) with a similar viscosity (6-22 mPa ∙ s), the particles of the dispersed phase in which are nanosized surfactant micelles and conglomerates from them. It was found that for 5 out of 7 studied reagents, there is a decrease in viscosity typical for dispersed systems with an increase in the shear rate, and their flow curves, that is, the dependence of the shear stress on the shear rate, correspond to the ideal plastic flow of non-Newtonian fluids. Moreover, with high reliability, R2 ≥ 0.999 is described by the Bingham equation with a small value of the limiting shear stress (less than 0.2 Pa). It is shown that all the studied reagents are also characterized by an increase in the activation energy of a viscous flow Е with an increase in the shear rate. As a result, a decrease in viscosity with an increase in shear rate, typical for disperse systems, including nanofluids, is provided by a more significant increase in entropy changes ΔS compared to Е. It has been substantiated that, depending on the ratio between the activation energy of viscous flow Е and the change in entropy ΔS, the viscosity of concentrated micellar dispersed systems with an increase in the shear rate can decrease, remain unchanged, and increase. The last two cases, not typical for disperse systems and nanofluids, were identified and studied using the example of two demulsifiers, RIK-1 and RIK-2, with a maximum of a very narrow particle size distribution at 160 ± 5 nm, corresponding to the size of a special type of very stable micelles Surfactant — vesicle.


Author(s):  
Ekaterina Statsenko

Prediction of technological processes in various sectors of the food industry using mathematical modeling is becoming increasingly important. The paper describes the effect of various factors on the grain weight after germination by the method of correlation-regression analysis. Using this modeling method, based on the established relationship, it is possible to predict the weight of the grain after germination in various conditions.


Author(s):  
B Tarabayev ◽  
K Baigenzhinov

This article discusses the possibility of mathematical modeling andoptimization of parameters of the process of buckwheat. As a result of the research,a regression equation was obtained, which allows to predict the optimal extrusionparameters of buckwheat and reduce the number of experiments. Extrusionprocessing is one of the most attractive methods of processing grain crops to obtainsemi-finished products. The efficiency and effectiveness of the use of this equationis proved in laboratory conditions. The influence of all factors was studied duringthe extrusion of buckwheat grain, pressure, temperature, processing time andhumidity of the feedstock on the yield of blasted cereal, the content of watersoluble substances, the swelling and density of the extruded raw material. Amathematical model of the process of extrusion of buckwheat grain made itpossible to find rational process parameters allowing to obtain extrudates with highconsumer properties.


Author(s):  
Muhammad Ajmal ◽  
Shi Aiping ◽  
Saad Uddin ◽  
Muhammad Awais ◽  
Muhammad Faheem ◽  
...  

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