The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet

This article is devoted to the definition of conditions under which the calculation of the gas-drop turbulent jet must be carried out with account of the interaction of drops. A mathematical model of the gas-liquid turbulent jet that considers the equations of coagulation and division of drops is pr...

Full description

Saved in:
Bibliographic Details
Main Author: Yu.V. Zuev
Format: Article
Language:English
Published: Kazan Federal University 2022-03-01
Series:Учёные записки Казанского университета: Серия Физико-математические науки
Subjects:
Online Access:https://kpfu.ru/uz-eng-phm-2022-1-5.html
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849220850938544128
author Yu.V. Zuev
author_facet Yu.V. Zuev
author_sort Yu.V. Zuev
collection DOAJ
description This article is devoted to the definition of conditions under which the calculation of the gas-drop turbulent jet must be carried out with account of the interaction of drops. A mathematical model of the gas-liquid turbulent jet that considers the equations of coagulation and division of drops is presented. The relevance of the research is defined by the fact that many applied tasks in various areas of technology can be solved only by performing calculations with gas-liquid jets, the results of which may be doubtful at certain concentrations of the dispersed phase owing to the neglect of the collision of drops. As a result of the calculation by means of the obtained mathematical model of the gas-drop turbulent jet, three ranges of changes in the initial total volume concentration of drops corresponding to various impacts of the interaction of drops in the jet on its parameters are determined. The lack of influence of drops collisions on all parameters of the jet is characteristic of the first range. The second range differs by insignificant dependence of the speeds of phases on the coagulation of drops. The third range corresponds to the concentration of drops in the initial section of the jet at which there are intensive processes of coagulation and division of drops influencing all parameters of the jet. The following conclusions can be drawn from the results of the research: in the first and second cases, the equation of the mathematical model of the jet does not require to consider the interaction of drops to solve many applied problems; in the third case, it is obligatory to take account of the coagulation and crushing of drops.
format Article
id doaj-art-9d84af1abd904c6aba0f5c1e7e34f6b6
institution Kabale University
issn 2541-7746
2500-2198
language English
publishDate 2022-03-01
publisher Kazan Federal University
record_format Article
series Учёные записки Казанского университета: Серия Физико-математические науки
spelling doaj-art-9d84af1abd904c6aba0f5c1e7e34f6b62024-12-02T08:55:02ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Физико-математические науки2541-77462500-21982022-03-0116418510010.26907/2541-7746.2022.1.85-100The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jetYu.V. Zuev0Moscow Aviation Institute (National Research University), Moscow, 125993 RussiaThis article is devoted to the definition of conditions under which the calculation of the gas-drop turbulent jet must be carried out with account of the interaction of drops. A mathematical model of the gas-liquid turbulent jet that considers the equations of coagulation and division of drops is presented. The relevance of the research is defined by the fact that many applied tasks in various areas of technology can be solved only by performing calculations with gas-liquid jets, the results of which may be doubtful at certain concentrations of the dispersed phase owing to the neglect of the collision of drops. As a result of the calculation by means of the obtained mathematical model of the gas-drop turbulent jet, three ranges of changes in the initial total volume concentration of drops corresponding to various impacts of the interaction of drops in the jet on its parameters are determined. The lack of influence of drops collisions on all parameters of the jet is characteristic of the first range. The second range differs by insignificant dependence of the speeds of phases on the coagulation of drops. The third range corresponds to the concentration of drops in the initial section of the jet at which there are intensive processes of coagulation and division of drops influencing all parameters of the jet. The following conclusions can be drawn from the results of the research: in the first and second cases, the equation of the mathematical model of the jet does not require to consider the interaction of drops to solve many applied problems; in the third case, it is obligatory to take account of the coagulation and crushing of drops.https://kpfu.ru/uz-eng-phm-2022-1-5.htmltwo-phase jetgasdropscoagulation and division of dropsmathematical modelling
spellingShingle Yu.V. Zuev
The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet
Учёные записки Казанского университета: Серия Физико-математические науки
two-phase jet
gas
drops
coagulation and division of drops
mathematical modelling
title The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet
title_full The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet
title_fullStr The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet
title_full_unstemmed The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet
title_short The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet
title_sort impact of coagulation and division of drops on the parameters of the gas drop turbulent jet
topic two-phase jet
gas
drops
coagulation and division of drops
mathematical modelling
url https://kpfu.ru/uz-eng-phm-2022-1-5.html
work_keys_str_mv AT yuvzuev theimpactofcoagulationanddivisionofdropsontheparametersofthegasdropturbulentjet
AT yuvzuev impactofcoagulationanddivisionofdropsontheparametersofthegasdropturbulentjet