• Title/Summary/Keyword: FW-H (Ffowcs Williams and Hawkings) 방정식

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Numerical investigation into cavitation flow noise of hydrofoil using quadrupole-corrected Ffowcs Williams and Hawkings equation (사중극자 보정 Ffowcs Williams and Hawkings 방정식을 이용한 수중 익형 공동 유동소음에 대한 수치적 고찰)

  • Ku, Garam;Ryu, Seo-Yoon;Cheong, Cheolung
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.5
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    • pp.263-270
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    • 2018
  • In most industry fields concerning external flow noise problems, the hybrid computational aeroacoustic techniques based on the FW-H (Ffowcs Williams and Hawkings) equation are widely used for its numerical efficiency. However, when the surface integral form of FW-H equation is used without volume quadrupole sources, it is known to generate significant non-physical noise in a certain case. Especially, in the case of a flow in which the tip vortex cavitation is formed in the distant downstream direction such as flow driven by an underwater propeller, the accuracy in noise prediction becomes poor unless it is not properly modelled. Therefore, in this study, the nonphysical acoustic waves caused by the surface integral form of FW-H equation is reduced by adding the quadrupole correction term. First, to verify the accuracy of the in-house code of FW-H equation, the noise by an axial fan used in the outdoor unit of air conditioner was calculated and compared with the results of ANSYS Fluent. In order to verify the effects of the quadrupole correction term, the noise prediction for isentropic vortex convection is performed and it is confirmed that the error is reduced by the quadrupole correction term. Finally, the noise prediction is performed for the flow field generated by the Clark-Y hydrofoil in underwater. It is confirmed that the error caused by the cavitation passing through the integral surface can be reduced by the quadrupole correction term.

Three-Dimensional Noise Analysis of an Axial-Flow Fan using Computational Aero-Acoustics (공력음향학을 이용한 축류홴의 삼차원 소음 해석)

  • Kim, Joo-Hyung;Kim, Jin-Hyuk;Shin, Seungyeol;Kim, Kwang-Yong;Lee, Seungbae
    • The KSFM Journal of Fluid Machinery
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    • v.15 no.5
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    • pp.48-53
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    • 2012
  • This paper presents a systematic procedure for three-dimensional noise analysis of an axial-flow fan by using computational aero-acoustics based on Ffowcs Williams-Hawkings equation. Flow-fields of a basic fan model are simulated by solving three-dimensional, unsteady, Reynolds-averaged Navier-Stokes equations using the commercial code ANSYS CFX 11.0. Starting with steady flow results, unsteady flow analysis is performed to extract the fluctuating pressures in the time domain at specified local points on the blade surface of the axial flow fan. The perturbed density wave by rotating blades reaches at the observer position, which is simulated by an in-house noise prediction software based on Ffowcs Williams-Hawkings equation. The detailed far-field noise signatures from the axial-flow fan are analyzed in terms of source types, field characteristics, and interpolation schemes.

Blade shape optimization of centrifugal fan for improving performance and reducing aerodynamic noise of clothes dryer (의류 건조기 성능 향상과 공력소음 저감을 위한 원심팬의 날개 형상 최적화)

  • Choi, Jinho;Ryu, Seo-Yoon;Cheong, Cheolung;Kim, Min-kyu;Lee, Kwangho
    • The Journal of the Acoustical Society of Korea
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    • v.38 no.3
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    • pp.321-327
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    • 2019
  • The purpose of this study is paper is to improve the flow performance and to reduce the aerodynamic noise of air discharge system consisting of a centrifugal fan, ducts and a housing for the clothes dryer. Using computational fluid dynamics and acoustic analogy based on FW-H (Ffowcs-Williams and Hawkings) Eq., air flow field and acoustic fields of the air discharge system are investigated. To optimize aerodynamic performance and aerodynamic noise, the response surface method is employed. The two factors central composite design using the inflow and outflow angles of fan blades is adopted. The devised optimum design shows the reduction of turbulent kinetic energy in the ducts and the housing of the system, and as a result, the improved flow rate and reduce noise is confirmed. Finally, the experment using the proto-type manufactured usign the optimum design shows the increase of flow rate by 4.2 %.

Acoustic Analysis of Axial Fan using BEM based on Kirchhoff Surface (Kirchhoff Surface 변화에 따른 송풍기 소음의 BEM 해석)

  • 박용민;이승배
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.772-777
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    • 2002
  • A BEM is highly efficient method in the sense of economic computation. However, boundary integration is not easy for the complex and moving surface e.g. in a rotating blade. Thus, Kirchhoff surface is designed in an effort to overcome the difficulty resulting from complex boundary conditions. A Kirchhoff surface is a fictitious surface which envelopes acoustic sources of main concern. Acoustic sources may be distributed on each Kirchhoff surface element depending on its acoustic characteristics. In this study, an axial fan is assumed to have loading noise as a dominant source. Dipole sources can be computed based on the FW-H equation. Acoustic field is then computed by changing Kirchhoff surfaces on which near-field is implemented, to analyze the effect of Kirchhoff surface on it.

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Acoustic Analysis of Axial Fan using BEM based on Kirchhoff Surface (Kirchhoff Surface를 이용한 Fan 소음 해석)

  • Park Y.-M.;Lee S.
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.763-766
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    • 2002
  • A BEM is highly efficient method in the sense of economic computation. However, boundary integration is not easy for the complex and moving surface e.g. in a rotating blade. Thus, Kirchhoff surface is designed in an effort to overcome the difficulty resulting from complex boundary conditions. A Kirchhoff surface is a fictitious surface which envelopes acoustic sources of main concern. Acoustic sources may be distributed on each Kirchhoff surface element depending on its acoustic characteristics. In this study, an axial fan is assumed to have loading noise as a dominant source. Dipole sources can be computed based on the FW-H equation. Acoustic field is then computed by changing Kirchhoff surface on which near-field is implemented, to analyze the effect of Kirchhoff surface on it.

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Prediction of Thickness and Loading Noise from Aircraft Propeller (항공기용 프로펠러에서의 두께 및 하중소음 예측)

  • Ryu, Ki-Wahn
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.39-45
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    • 2005
  • The aim of this research is to predict the thickness and loading noise of the round-tip shaped Hartzell propeller currently used in the general aviation aircraft. Before implementing the noise analysis, the pressure distribution on the propeller was obtained by using the free wake panel method and unsteady Bernoulli's equation. The noise signal at observer position can be obtained by using the FW-H equation. The noise prediction results for the propeller indicates that the thickness noise has s symmetric directivity pattern with respect to the tip path plane, while the noise due to loading shows higher noise directivity toward downstream than the upstream direction from the rotor plane. The loading noise is dominant rather than the thickness noise in normal operating condition.

Acoustic Analysis of Unevenly Pitched Fan of Automobile Cooling Pack System (자동차 Cooling Fan용 비등각 축류홴 소음해석)

  • Song, W.-S.;Lee, J.-S.;Kim, J.-Y.;Lee, S.
    • 유체기계공업학회:학술대회논문집
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    • 2004.12a
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    • pp.567-571
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    • 2004
  • The 2-dimensional unsteady flows on and around the cambered airfoils were computed by applying LES with the deductive dynamic SGS model. The unsteady flow field were used as inputs to compute the far-field sounds and directivity patterns from rotating blades by a hybrid approach that exploits Farassat's formula. The BEM (Boundary Element Method) was applied to predict the frequency characteristics from the rotating blades for the cases of even- and uneven-pitched fans. The BEM results suggested that the unevenly pitched fan have less pronounced discrete peaks at BEF frequencies, which was confirmed by the experiment.

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Acoustic Analysis of Plenum Fan using Kirchhoff-BEM (Kirchhoff-BEM 을 이용한 Plenum Fan 소음해석)

  • Song, W.-S.;Jang, G. J.;Lee, S.
    • 유체기계공업학회:학술대회논문집
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    • 2004.12a
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    • pp.89-93
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    • 2004
  • To numerically construct the sound fields by a plenum fan mostly found in Air-Handling Unit (AHU), the Kirchhoff-BEM approach was applied to the near-field data of a turbo fan. The scattering effects were found to be significant by the plenum box structure for high-frequency components of source. The directivity petterns and sound pressure levels were also dependent upon the helmholts number which must be considered of the design stage for sound reduction program.

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Acoustic Analysis of Axial Fan using Kirchhoff Surface (Kirchhoff 면을 이용한 홴소음 해석)

  • Park, Yong-Min;Song, Woo-Seog;Lee, Seung-Bae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.6
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    • pp.701-713
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    • 2003
  • The BEM is a highly efficient method in the sense of economical computation. However, boundary integration is not easy for the complex geometry and moving surface, e.g. a rotating blade. Thus, Kirchhoff surface is designed in an effort to overcome the difficulty resulting from complex boundary conditions. A Kirchhoff surface is a fictitious surface which envelopes acoustic sources of main concern. Acoustic sources may be distributed on each Kirchhoff surface element according to their acoustic characteristics. In this study, an axial fan is assumed to have unsteady loading noise as a dominant source. Dipole sources can be modeled to solve the FW-H equation. Acoustic field is then computed by determining Kirchhoff surface on which near-field is implemented, to analyze the effect of Kirchhoff surface on it. The optimal shape and the location of Kirchhoff surface are discussed by comparing with experimental data acquired in an anechoic chamber.

Numerical investigation on cavitation and non-cavitation flow noise on pumpjet propulsion (펌프젯 추진기의 공동 비공동 유동소음에 대한 수치적 연구)

  • Garam Ku;Cheolung Cheong;Hanshin Seol;Hongseok Jeong
    • The Journal of the Acoustical Society of Korea
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    • v.42 no.3
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    • pp.250-261
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    • 2023
  • In this study, the noise contributions by the duct, stator and rotor, which are the propulsor components, are evaluated to identify the flow noise source in cavitation and non-cavitation conditions on pumpjet propulsion and the noise levels in both conditions are compared. The unsteady incompressible Reynolds averaged Navier-Stokes (RANS) equation based on the homogeneous mixture assumption is applied on the suboff submarine hull and pumpjet propeller in the cavitation tunnel, and the Volume of Fluid (VOF) method and Schnerr-Sauer cavitation model are used to describe the two-phase flow. Based on the flow simulation results, the acoustic analogy formulated by Ffowcs Williams and Hawkings (FW-H) equation is applied to predict the underwater radiated noise. The noise contributions are evaluated by using the three types of impermeable integral surface on the duct, stator and rotor, and the two types of permeable integral surface surrounding the propulsor. As a result of noise prediction, the contribution by the stator is insignificant, but it affects the generation of flow noise source due to flow separation in the duct and rotor, and the noise is predominantly radiated into the upward and right where the flow separations are. Also, the noise is radiated into the thrust direction due to pressure fluctuation between suction and pressure sides on the rotor blades, and the it can be seen that the cavitation effect into the noise can be considered through the permeable integral surface.