Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations

Conical diffusers of various configurations are used in many kinds of technical equipment and manufacturing processes. Therefore, it is a relevant objective to obtain reliable experimental and mathematical data on the aerodynamic characteristics of diffusers. This article presents experimental data...

Full description

Bibliographic Details
Main Author: Leonid Plotnikov
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/3/244
_version_ 1797613467700559872
author Leonid Plotnikov
author_facet Leonid Plotnikov
author_sort Leonid Plotnikov
collection DOAJ
description Conical diffusers of various configurations are used in many kinds of technical equipment and manufacturing processes. Therefore, it is a relevant objective to obtain reliable experimental and mathematical data on the aerodynamic characteristics of diffusers. This article presents experimental data on the aerodynamics of stationary flows in a vertical conical diffuser when air is supplied through tubes with various cross sections (circle, square, and triangle). Instantaneous values of air flow velocity are measured with a constant-temperature hot-wire anemometer. Data are obtained on the velocity fields and turbulence intensity along the height and the diameter of the diffuser’s cylindrical part when air is supplied through tubes of various configurations. It is established that air supply through profiled tubes has a significant effect on the shape of the velocity field and turbulence intensity in a vertical conical diffuser. For example, higher values of turbulence intensity are typical of air supplied through profiled tubes (the differences reach 50%). A mathematical formulation (linear and exponential equations) of the change in the average speed and intensity of air flow turbulence along the height of the diffuser’s cylindrical part for various initial conditions and supply tube configurations is presented. The obtained findings will make it possible to refine mathematical models and update algorithms for engineering the design of diffusers for various engineering processes and pieces of technical equipment.
first_indexed 2024-03-11T06:56:13Z
format Article
id doaj.art-207036174db846dcbf606dcf73fdbc76
institution Directory Open Access Journal
issn 2075-1680
language English
last_indexed 2024-03-11T06:56:13Z
publishDate 2023-02-01
publisher MDPI AG
record_format Article
series Axioms
spelling doaj.art-207036174db846dcbf606dcf73fdbc762023-11-17T09:34:47ZengMDPI AGAxioms2075-16802023-02-0112324410.3390/axioms12030244Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube ConfigurationsLeonid Plotnikov0Turbines and Engines Department, Ural Federal University named after the first President of Russia B.N. Yeltsin, Str. Mira, 19, 620002 Yekaterinburg, RussiaConical diffusers of various configurations are used in many kinds of technical equipment and manufacturing processes. Therefore, it is a relevant objective to obtain reliable experimental and mathematical data on the aerodynamic characteristics of diffusers. This article presents experimental data on the aerodynamics of stationary flows in a vertical conical diffuser when air is supplied through tubes with various cross sections (circle, square, and triangle). Instantaneous values of air flow velocity are measured with a constant-temperature hot-wire anemometer. Data are obtained on the velocity fields and turbulence intensity along the height and the diameter of the diffuser’s cylindrical part when air is supplied through tubes of various configurations. It is established that air supply through profiled tubes has a significant effect on the shape of the velocity field and turbulence intensity in a vertical conical diffuser. For example, higher values of turbulence intensity are typical of air supplied through profiled tubes (the differences reach 50%). A mathematical formulation (linear and exponential equations) of the change in the average speed and intensity of air flow turbulence along the height of the diffuser’s cylindrical part for various initial conditions and supply tube configurations is presented. The obtained findings will make it possible to refine mathematical models and update algorithms for engineering the design of diffusers for various engineering processes and pieces of technical equipment.https://www.mdpi.com/2075-1680/12/3/244vertical cone diffuseraerodynamicsstationary flowprofiled tubesvelocity fieldturbulence intensity
spellingShingle Leonid Plotnikov
Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations
Axioms
vertical cone diffuser
aerodynamics
stationary flow
profiled tubes
velocity field
turbulence intensity
title Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations
title_full Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations
title_fullStr Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations
title_full_unstemmed Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations
title_short Mathematical Description of the Aerodynamic Characteristics of Stationary Flows in a Vertical Conical Diffuser When Air Is Supplied through Various Tube Configurations
title_sort mathematical description of the aerodynamic characteristics of stationary flows in a vertical conical diffuser when air is supplied through various tube configurations
topic vertical cone diffuser
aerodynamics
stationary flow
profiled tubes
velocity field
turbulence intensity
url https://www.mdpi.com/2075-1680/12/3/244
work_keys_str_mv AT leonidplotnikov mathematicaldescriptionoftheaerodynamiccharacteristicsofstationaryflowsinaverticalconicaldiffuserwhenairissuppliedthroughvarioustubeconfigurations