• 제목/요약/키워드: FW-H Equation

검색결과 26건 처리시간 0.021초

FW-H 방정식에서 적분표면의 크기가 유동소음 해석결과에 미치는 영향 (Size Effect of Integral Surface of FW-H Equations on Prediction of Aeroacoustic Noise)

  • 유승원;이종수;민옥기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.416-421
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    • 2001
  • This paper presents the numerical prediction of sound generated by viscous flow past a circular cylinder. The two dimensional flow field is predicted using FEM based Reynolds-averaged Navier-Stokes solver, and the calculated unsteady fluid field values are utilized by an acoustic code that implements Ffowcs Willianms-Hawkings(FW-H) equation. The integration surface used in acoustic analysis is extended from the cylinder surface to permeable surfaces. The 2D based CFD calculations overpredict the acoustic amplitude, however, if adequate correlation length is used, the predicted acoustic amplitude agrees well with experiment. The predictions using extended integral surface in FW-H equation show results that contain the characteristics of quadrupole - volume integration - noise term, and do not vary seriously with the integral surface location.

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

  • 구가람;유서윤;정철웅
    • 한국음향학회지
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    • 제37권5호
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    • pp.263-270
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    • 2018
  • 외부 유동소음 문제를 다루는 대부분의 산업현장에서 FW-H(Ffowcs Williams and Hawkings) 방정식을 이용한 복합전산공력음향 기법이 수치적인 효율성으로 인하여 널리 사용되고 있다. 그러나 사중극자항을 무시한 면적분 형태의 FW-H 방정식을 사용할 때 경우에 따라 무시할 수 없는 비물리적인 소음이 발생한다고 알려져 있다. 특히, 수중 프로펠러와 같이 날개 끝 와류 공동(tip vortex cavitation)이 하류방향으로 길게 형성되는 유동에 대해서는 적절하게 모델링하지 않으면 소음 예측의 정확도가 떨어지게 된다. 따라서 본 연구에서는 사중극자 보정항을 추가하여 적분면에서 FW-H 방정식으로부터 발생하는 비물리적인 음향을 저감시키고자 하였다. 먼저 FW-H 방정식에 기초하여 개발한 내부 예측코드의 정확성을 확인하기 위하여 에어컨 실외기에 사용되는 축류팬을 대상으로 검증을 수행하였으며, ANSYS Fluent의 결과와 비교하여 잘 일치하는 것을 확인하였다. 사중극자 보정항의 효과를 확인하기 위하여 등엔트로피 와류 전파에 대한 소음 해석을 수행하였으며, 사중극자 보정항에 의한 오차의 저감 효과가 발생하는 것을 확인하였다. 마지막으로 Clark-Y 수중익형에서 발생하는 공동 유동장을 대상으로 소음 해석을 수행하였으며, 공동이적분면을 통과할 때 발생하는 오차를 사중극자 보정항을 이용하여 저감할 수 있다는 것을 확인하였다.

정지비행 조건에서의 축소 로터 실험을 통한 소음 예측 기법 검증 (Validation of Noise Prediction Theory Using Scaled Rotor Experiment for Hovering Condition)

  • 민안기;이재하;이욱;최종수
    • 한국항공우주학회지
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    • 제40권3호
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    • pp.201-208
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    • 2012
  • 본 논문에서는 정지비행 조건에서의 무향실 내 축소 로터 실험을 이용해 Lowson의 하중 소음식과 FW-H의 음향상사식으로 예측한 이산 주파수 소음(Discrete frequency noise)을 검증하였다. 소음 예측 기법의 방향성(Directivity) 검증은 전반적으로 실험결과와 유사하게 예측되었으며, 거리에 대한 검증의 경우 근거리(Near-field)에서는 FW-H식의 예측결과가, 원거리(Far-field)에서는 Lowson식의 예측결과가 실험결과와 더 유사한 것을 확인하였다. 피치 각(Collective pitch angle)에 대한 검증의 경우 낮은 피치각에서는 FW-H식의 예측결과가, 높은 피치각에서는 Lowson식의 예측결과가 실험결과와 더 유사한 것을 확인하였다.

DVD 드라이브내에서 발생하는 유동소음에 관한 수치적 연구 (A Numerical Study on the Characteristic of Aeroacoustic Noise in DVD Drive)

  • 유승원;이종수;민옥기
    • 소음진동
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    • 제11권3호
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    • pp.471-476
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    • 2001
  • This paper focuses on the numerical prediction of airflow-induced sound in DVD drives. As a first step, computational fluid dynamics (CFD) is conducted to evaluate flow field characteristics due to the high-speed disk rotation, and to support the acoustic analysis. Acoustic analogy based on Ffowcs Wi1liams-Hawkings (FW-H) equation is adopted to predict aeroacoustic noise patterns. The integral solution for quadrupole volume source is included to identify the turbulence noise generated inside the DVD tray. The strength of sound pressure revel with respect to rotating speed is discussed to meet upfront demand on the high fidelity product development. The present study also focuses on the noise directivity and examines how much the sound noise is sensitive to change in rotating speed. Near-field noise is strongly affected by the flow field characteristic, which is caused by the complex shape of the tray. For a mid-field, the quadrupole noise play as a counterpart of thickness noise or loading noise, so it generates different sound noise Patterns compared with those in the near field.

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

  • 유기완
    • 한국항공우주학회지
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    • 제33권2호
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    • pp.39-45
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    • 2005
  • 본 연구에서는 현재 일반 프로펠러 항공기에 사용 중인 둥근 팁 형상을 갖는 Hartzell 사 제작 프로펠러에 대해서 두께소음과 하중소음에 대한 예측을 시도하였다. 음향장 해석에 앞서서 프로펠러 표면상에 존재하는 압력분포는 자유후류 패널 방법과 비정상 베르누이 방정식을 이용하여 구하였다. 음향장 해석을 위해서는 FW-H의 음향상사 법칙을 적용하였다. 주어진 프로펠러 형상과 운전 조건에 대한 소음 예측으로부터 두께소음은 프로펠러 회전면을 기준으로 전방과 후방이 서로 비슷한 면대칭 분포를 갖는 반면에, 하중소음은 프로펠러 후방의 소음이 전방에 비해서 더 크게 나오는 결과를 보여주었다. 일반적인 운전조건에서는 전반적으로 하중소음이 두께소음보다 지배적인 결과를 보여주었다.

음향상사이론을 이용한 DVD Drive 내에서의 유동소음 예측 (A Prediction of Airflow-Induced Noise in DVD Drive using Acoustic Analogy)

  • 유승원;이종수;민옥기
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집B
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    • pp.502-507
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    • 2000
  • This paper presents the numerical prediction of airflow-induced sound in DVD drives. Computational fluid dynamics (CFD) is first conducted to evaluate flow field characteristics due to the high-speed disk rotation, and to support the acoustic analysis. The acoustic analogy based on Ffowcs Williams-Hawkings (FW-H) equation is adopted to predict aeroacoustic noise patterns. The integral solution for quadrupole volume source is included to identify the turbulence noise generated inside the DVD tray. Near-field noise is strongly affected by the flow field characteristic, which is caused by the complex shape of the tray. For a mid-field, the quadrupole noise play as a counterpart of thickness noise or loading noise, resulting in a different pattern compared with those in the near field.

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

  • 박용민;이승배
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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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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Kirchhoff Surface 변화에 따른 송풍기 소음의 BEM 해석 (Acoustic Analysis of Axial Fan using BEM based on Kirchhoff Surface)

  • 박용민;이승배
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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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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FW-H 방정식을 이용한 선박 추진기 날개통과주파수 소음의 수치예측과 모형시험 검증 (Numerical Prediction of Marine Propeller BPF Noise Using FW-H Equation and Its Experimental Validation)

  • 설한신;박철수;김기섭
    • 한국소음진동공학회논문집
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    • 제26권6_spc호
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    • pp.705-713
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    • 2016
  • Underwater noise produced by ships has been becoming an increasing issue. A dominantly contributing noise source is a ship propeller. Therefore, it is important to predict the propeller noise at the propeller design stages. This study applied the acoustic analogy based on Ffowcs Williams equation for the prediction of the marine propeller BPF noise. A marine propeller BPF noise is investigated experimentally as well as numerically. Propeller BPF noise measurement and propeller cavitation observation tests are performed in the KRISO medium size cavitation tunnel. Numerical prediction schemes of marine propeller BPF noise are presented together with the noise measurement method. Propeller BPF noise predictions and experiments are performed under the various propeller operating conditions including non-cavitating and caveating conditions. Numerical and experimental results are compared and analyzed. It is shown that numerical prediction results are generally in good agreement with the measured data.

DVD 드라이브 내에서의 유동 및 유동소음 특성에 관한 수치적 연구 (A Numerical Study on the Characteristic of Airflow and Aeroacoustic Noise in DVD Drive)

  • 유승원;이종수;민옥기;김수경
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 추계학술대회논문집
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    • pp.759-764
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    • 2000
  • The accurate prediction of aeroacoustic analysis is necessary for designers to control and reduce airflow-induced sound pressure levels in high speed rotating DVD drives. This paper focuses on the numerical prediction of airflow-induced sound in DVD drives. Computational fluid dynamics(CFD) is first conducted to evaluate flow field characteristics due to the high-speed disk rotation, and to support the acoustic analysis. The acoustic analogy based on Ffowcs Williams-Hawkings(FW-H) equation is adopted to predict aeroacoustic noise patterns. The integral solution for quadrupole volume source is included to identify the turbulence noise generated inside the DVD tray. The strength of sound pressure level with respect to rotating speed is discussed to meet upfront demand on the high fidelity product development. The present study also focuses on the noise directivity and examines how much the sound noise is sensitive to change in rotating speed. Near-field noise is strongly affected by the flow field characteristic, which is caused by the complex shape of the tray. For a mid-field, the quadrupole noise play as a counterpart of thickness noise or loading noise, so it generates different sound noise patterns compared with those in the near field.

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