{"title":"A Method for Calculating Ultrasonic Coagulation of PM2.5 Particles in Vortex and Turbulent Acoustic Flows","authors":"V. N. Khmelev, A. V. Shalunov, R. N. Golykh","doi":"10.1134/s1990478924010058","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We propose a method for calculating the kinetics of ultrasonic coagulation of PM2.5\nduring fine gas cleaning that provides an order of magnitude higher calculation performance.\nIncreased productivity is achieved through the proposed and justified method of reducing the\noriginal three-dimensional problem to a two-dimensional one. The proposed reduction method is\nbased on the fact that the time of complete rotation of vortex acoustic flows turns out to be much\nshorter than the characteristic coagulation time during fine gas cleaning. This makes it possible to\npresent the fractional composition of aerosol particles as a function of two stream functions\ninstead of three coordinates. Calculations carried out using the proposed method make it possible\nto identify the possibility of increasing the efficiency of coagulation in three-dimensional flows due\nto the following mechanisms: a local increase in concentration caused by the inertial transfer of\nparticles to the periphery of three-dimensional vortices in the gas phase, increasing the frequency\nof particle collisions due to three-dimensional turbulent disturbances in ultrasonic fields with a\nhigh amplitude of oscillatory velocity (more than 10 m/s), and increasing productivity and\nensuring the possibility of continuous implementation of the process in flow mode due to the\ntransfer of particles between the streamlines of the main vortices initiated by ultrasonic vibrations\nas well as due to external flows perpendicular to the plane of the vortices in three-dimensional\nspace. The developed set of programs for implementing calculations can be used in the design of\ngas cleaning equipment.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5800,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1990478924010058","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
We propose a method for calculating the kinetics of ultrasonic coagulation of PM2.5
during fine gas cleaning that provides an order of magnitude higher calculation performance.
Increased productivity is achieved through the proposed and justified method of reducing the
original three-dimensional problem to a two-dimensional one. The proposed reduction method is
based on the fact that the time of complete rotation of vortex acoustic flows turns out to be much
shorter than the characteristic coagulation time during fine gas cleaning. This makes it possible to
present the fractional composition of aerosol particles as a function of two stream functions
instead of three coordinates. Calculations carried out using the proposed method make it possible
to identify the possibility of increasing the efficiency of coagulation in three-dimensional flows due
to the following mechanisms: a local increase in concentration caused by the inertial transfer of
particles to the periphery of three-dimensional vortices in the gas phase, increasing the frequency
of particle collisions due to three-dimensional turbulent disturbances in ultrasonic fields with a
high amplitude of oscillatory velocity (more than 10 m/s), and increasing productivity and
ensuring the possibility of continuous implementation of the process in flow mode due to the
transfer of particles between the streamlines of the main vortices initiated by ultrasonic vibrations
as well as due to external flows perpendicular to the plane of the vortices in three-dimensional
space. The developed set of programs for implementing calculations can be used in the design of
gas cleaning equipment.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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