A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow

Consider that the sound dipole source in the flow field is composed of multiple micro-spherical oscillating sources. An aerodynamic sound source identification method is established by the relationship among the oscillating source, the radiated sound pressure, and the pressure gradient of flow in th...

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Main Authors: Hao Zhang, Yigang Wang, Yupeng Wang
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/9/2070
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author Hao Zhang
Yigang Wang
Yupeng Wang
author_facet Hao Zhang
Yigang Wang
Yupeng Wang
author_sort Hao Zhang
collection DOAJ
description Consider that the sound dipole source in the flow field is composed of multiple micro-spherical oscillating sources. An aerodynamic sound source identification method is established by the relationship among the oscillating source, the radiated sound pressure, and the pressure gradient of flow in the near-wall flow field, and the formula for calculating the sound power of the sound dipole source in unsteady flow is derived. It shows that the power of sound dipole sources is proportional to the square of the oscillating force or pressure gradient. The combination of the formula and CFD method is further applied to the flow around the cylinder, which clearly presents the sound power and location characteristics of sound dipole sources. Further, the relationship between the sound source and the flow separation, or flow vortex shedding, is analyzed. The corresponding correlation analysis is also carried out, which indicates that the sound dipole source exists in a finite area of the attached wall. The front end of the area is at the separation point along the circumferential direction of the wall, and the end is at the location where the separation vortex completely falls off and a trailing vortex begins to form. In addition, the thickness of the area exists along the radial direction and gradually increases backward.
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spelling doaj.art-d1d44dd8735f4872bbfa710c7e817e892023-11-17T23:19:36ZengMDPI AGMathematics2227-73902023-04-01119207010.3390/math11092070A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall FlowHao Zhang0Yigang Wang1Yupeng Wang2School of Automotive Studies, Tongji University, Shanghai 201804, ChinaSchool of Automotive Studies, Tongji University, Shanghai 201804, ChinaSchool of Automotive Studies, Tongji University, Shanghai 201804, ChinaConsider that the sound dipole source in the flow field is composed of multiple micro-spherical oscillating sources. An aerodynamic sound source identification method is established by the relationship among the oscillating source, the radiated sound pressure, and the pressure gradient of flow in the near-wall flow field, and the formula for calculating the sound power of the sound dipole source in unsteady flow is derived. It shows that the power of sound dipole sources is proportional to the square of the oscillating force or pressure gradient. The combination of the formula and CFD method is further applied to the flow around the cylinder, which clearly presents the sound power and location characteristics of sound dipole sources. Further, the relationship between the sound source and the flow separation, or flow vortex shedding, is analyzed. The corresponding correlation analysis is also carried out, which indicates that the sound dipole source exists in a finite area of the attached wall. The front end of the area is at the separation point along the circumferential direction of the wall, and the end is at the location where the separation vortex completely falls off and a trailing vortex begins to form. In addition, the thickness of the area exists along the radial direction and gradually increases backward.https://www.mdpi.com/2227-7390/11/9/2070aerodynamic sound dipole sourceflow around circular cylinderComputational Fluid Dynamics (CFD)sound powerturbulence field
spellingShingle Hao Zhang
Yigang Wang
Yupeng Wang
A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow
Mathematics
aerodynamic sound dipole source
flow around circular cylinder
Computational Fluid Dynamics (CFD)
sound power
turbulence field
title A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow
title_full A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow
title_fullStr A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow
title_full_unstemmed A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow
title_short A New Method of Identifying the Aerodynamic Dipole Sound Source in the Near Wall Flow
title_sort new method of identifying the aerodynamic dipole sound source in the near wall flow
topic aerodynamic sound dipole source
flow around circular cylinder
Computational Fluid Dynamics (CFD)
sound power
turbulence field
url https://www.mdpi.com/2227-7390/11/9/2070
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