• 제목/요약/키워드: Homogeneous isotropic turbulence

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Multi-scale coherent structures and their role in the energy cascade in homogeneous isotropic turbulence

  • Goto, Susumu
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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    • pp.355-358
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    • 2008
  • In order to investigate the physical mechanism of the energy cascade in homogeneous isotropic turbulence, we introduce Galilean-invariant energy and its transfer rate in the real space as a function of position, time and scale. By using a database of direct numerical simulations (DNS) of homogeneous isotropic turbulence, it is shown that (i) fully developed turbulence consists of multi-scale coherent vortices of tubular shapes, (ii) the energy at each scale is mainly confined in vortex tubes with the radii of the same order of the length scale, and (iii) the energy transfer takes place around pairs (especially, anti-parallel pairs) of such vortex tubes. Based on these observations, it is suggested that the energy cascade can be caused, in the real space, by the process of the stretching and creation of smaller (i.e. thinner) vortex tubes by the straining field around pairs of larger (i.e. fatter) vortex tubes. Indeed, it is quite easy to find such events (in our DNS fields) which strongly support this scenario of the energy cascade.

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Multi-scale coherent structures and their role in the energy cascade in homogeneous isotropic turbulence

  • Goto, Susumu
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.355-358
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    • 2008
  • In order to investigate the physical mechanism of the energy cascade in homogeneous isotropic turbulence, we introduce Galilean-invariant energy and its transfer rate in the real space as a function of position, time and scale. By using a database of direct numerical simulations (DNS) of homogeneous isotropic turbulence, it is shown that (i) fully developed turbulence consists of multi-scale coherent vortices of tubular shapes, (ii) the energy at each scale is mainly confined in vortex tubes with the radii of the same order of the length scale, and (iii) the energy transfer takes place around pairs (especially, anti-parallel pairs) of such vortex tubes. Based on these observations, it is suggested that the energy cascade can be caused, in the real space, by the process of the stretching and creation of smaller (i.e. thinner) vortex tubes by the straining field around pairs of larger (i.e. fatter) vortex tubes. Indeed, it is quite easy to find such events (in our DNS fields) which strongly support this scenario of the energy cascade.

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균질한 등방향성 난류 생성 및 특성 변화 분석 (Generation and Characterization of Homogeneous Isotropic Turbulence)

  • 이훈상;한규호;박한준;정현균;황원태
    • 한국가시화정보학회지
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    • 제16권1호
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    • pp.21-29
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    • 2018
  • Homogeneous and isotropic turbulence (HIT) with no mean flow is a very useful type of flow for basic turbulence research. However, it is difficult to generate HIT in the lab. In this study, we implemented HIT in a confined box through synthetic jet actuators using sub-woofer speakers. Characteristics of HIT are varied depending on the strength of the jets. We used 2D PIV to measure the velocity field. Turbulence statistics such as homogeneity, isotropy ratio, turbulence kinetic energy, dissipation rate, Taylor microscale, Kolmogorov scale, and velocity correlation coefficient were calculated. Most of the turbulence statistics increased exponentially according to the strength of the jets, and the Taylor Reynolds number reached up to 185.

중력이 존재하는 등방성 난류에서 작은 입자의 유동 (Behavior of small particles in isotropic turbulence in the presence of gravity)

  • 조성기;여경민;이창훈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회B
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    • pp.2396-2400
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    • 2008
  • The motion of small heavy particles in homogeneous isotropic turbulence in the present of gravity is investigated using Direct Numerical Simulations (DNS) at moderate Reynolds number. The Lagrangian velocity and acceleration statistics of particles and of flow for a wide range of Stokes number, defined as the ratio of the particle response time to Kolmogorov time scale of turbulence, were obtained for the direction of the gravity and normal direction, respectively. It is found that particles lose their correction faster than the case without gravity. Then, a significant increase in the average settling velocity was observed for a certain range of Stokes number. Our focus is placed on gravitational effect on very small particles. Our simulations show that as the Stokes number reduces to zero, their mean settling velocity approaches the terminal velocity in still fluid.

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평판 에어포일 캐스케이드와 입사 난류의 상호작용에 의한 광대역 소음의 모달 음향 파워 (Modal acoustic power of broadband noise by interaction of a cascade of flat-plate airfoils with inflow turbulence)

  • 정철웅;쥬딕빈센트;죠셉필립
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.1467-1475
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    • 2007
  • This paper investigates the modal acoustic power by a cascade of flat-plate airfoils interacting with homogeneous, isotropic turbulence. Basic formulation for the acoustic power upstream and downstream is based on the analytical theory of Smith and its generalization due to Cheong et al. The acoustic power spectrum has been expressed as the sum of cut-on acoustic modes, whose modal power is the product of three terms: a turbulence series, an upstream or downstream power factor and an upstream or downstream acoustic response function. The effect of these terms in the modal acoustic power has been examined. For isotropic turbulence gust, the turbulent series are only reducing factor of the modal acoustic power. The power factor tends to reduce the modal acoustic power in the upstream direction, although the power factor is liable to increase the modal acoustic power in the downstream direction. The modes close to cut-off are decreasing strongly, especially in the downstream direction. Therefore the modes close to cut-off don't contribute highly to the radiated acoustic power in the downstream direction, although the modal acoustic pressure is high for these modes.

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평판 에어포일 캐스케이드와 입사 난류의 상호작용에 의한 광대역 소음의 모달 음향 파워 특성 (Characteristics of Modal Acoustic Power of Broadband Noise by Interaction of a Cascade of Flat-plate Airfoils with Inflow Turbulence)

  • 정철웅;쥬딕 빈센트;죠셉 필립
    • 한국소음진동공학회논문집
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    • 제18권1호
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    • pp.61-70
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    • 2008
  • This paper investigates the modal acoustic power by a cascade of flat-plate airfoils interacting with homogeneous, isotropic turbulence. Basic formulation for the acoustic power upstream and downstream is based on the analytical theory of Smith and its generalization due to Cheong et al. The acoustic power spectrum has been expressed as the sum of cut-on acoustic modes, whose modal power is the product of three terms: a turbulence series, an upstream or downstream power factor and an upstream or downstream acoustic response function. The effect of these terms in the modal acoustic power has been examined. For isotropic turbulence gust, the turbulent series are only reducing factor of the modal acoustic power. The power factor tends to reduce the modal acoustic power in the upstream direction, although the power factor is liable to increase the modal acoustic power in the downstream direction. The modes close to cut-off are decreasing strongly, especially in the downstream direction. Therefore the modes close to cut-off don't contribute highly to the radiated acoustic power in the downstream direction, although the modal acoustic pressure is high for these modes.

난류 유동장 내 두께를 가지는 단일 에어포일의 음향파워 예측 (Prediction of acoustic power radiated from an airfoil with thickness in turbulent flow)

  • 김대환;정철웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.353-358
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    • 2013
  • Present paper deals with turbulence-airfoil interaction noise and mainly investigates the effects of airfoil thickness on the broadband noise spectrum. The acoustic power radiation from an airfoil is predicted using high-order time-domain method, which is based on the computational aeroacoustic technique solving the linear Euler equations. The homogeneous and isotropic turbulence is generated by utilizing the synthetic turbulence modeling based on random particle method. The airfoils taken into consideration are a flat-plate and a NACA0012 airfoil aligned with uniform mean flow. The effects of airfoil thickness on the radiated inflow turbulence noise are investigated by comparing acoustic power spectrum predicted for each airfoil. The comparison of acoustic power spectrum reveals that the airfoil thickness significantly contributes the high frequency noise reduction.

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동해 묵호항 근처에서의 난류세기인자에 따른 음향수신신호의 위상분산 추정 (Estimation of Phase Variance of Acoustic Signals Depending on Turbulence Strength Near the Mukho Port in the East Sea of Korea)

  • 김정훈;복태훈;팽동국;심태보;김영규;박정수
    • 한국음향학회지
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    • 제28권4호
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    • pp.328-335
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    • 2009
  • 음향수신신호의 위상은 매질에 대한 정보를 포함하고 있기 때문에 위상 변동을 연구하는 것은 매질에 대한 연구와 동반 되어야 한다. 또한 SAS (Synthetic Aperture Sonar)나 수중통신 등의 신호처리 시 수신신호의 위상변동 보정이 필요하다. 본 연구에서는 미세구조 난류에 의한 수신신호의 위상분산을 고찰하였다. 국지적으로 등방성이고 균질한 난류 환경 하에서 난류세기인자를 구하였고 음파 전달경로에 따라 난류세기가 미치는 영향을 고려하여 위상분산을 계산하였다. 난류세기 계산에 필요한 CTD자료와 ADCP자료는 묵호항 근처에 설치된 부표에서 획득하였으며 음파 전달경로는 Bellhop알고리즘을 이용한 음선 모델을 사용하였다. 결과적으로 난류세기인자는 주로 수온과 유속의 변화에 의해 결정되었으며 수신신호의 위상분산에 영향을 주었다. 이러한 위상분산은 소나 운용에 고려되어야 할 사항으로 여겨진다.

유입 난류에 의한 에어포일 캐스케이드 광대역 소음장의 고주파 근사 예측식의 개발 (High-frequency Approximate Formulation for the Prediction of Broadband Noise of Airfoil Cascades with Inflow Turbulence)

  • 정성수;정완섭;이수갑;정철웅
    • 한국소음진동공학회논문집
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    • 제15권10호
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    • pp.1177-1185
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    • 2005
  • This paper investigates the noise radiated by a cascade of flat-plate airfoils interacting with homogeneous, isotropic turbulence. At frequencies above the critical frequency, all wavenumber components of turbulence excite propagating cascade modes, and cascade effects are shown to be relatively weak. In this frequency range, acoustic power was shown to be approximately proportional to the number of blades. Based on this finding at high frequencies, an approximate expression is derived for the power spectrum that is valid above the critical frequency and which is in excellent agreement with the exact expression for the broadband power spectrum. The approximate expression shows explicitly that the acoustic Power above the critical frequency is proportional to the blade number, independent of the solidity, and varies with frequency as ${\phi}_{ww}(\omega/W$), where ${\phi}_{ww}$ is the wavenumber spectrum of the turbulence velocity and W is mean-flow speed. The formulation is used to perform a parametric study on the effects on the power spectrum of the blade number stagger angle, gap-chord ratio and Mach number. The theory is also shown to provide a close fit to the measured spectrum of rotor-stator interaction when the mean square turbulence velocity and length-scale are chosen appropriately.

광통신에 이용되는 배열 수신기의 측정과 통계적 해석 (Staistical analysis and measurements of array receivers for use in optical communication)

  • 성평식
    • 한국컴퓨터산업학회논문지
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    • 제8권1호
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    • pp.57-64
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    • 2007
  • 본 논문은 공간적으로 변화하지 않는 신호장 $S_\jmath(t)$의 합과 부가적이고 동차이고 공간적으로 등방성(x축 평면배열)이고, 분리할 수 있는 Covariance이며, Zero-mean Gaussion random 잡음장 n(t, x)를 처리하기 위해 n개의 동일 검파로 구성되는 검파 시스템을 고찰할 수 있도록 최적산란 대기공간 광통신용 배열 수신기와 공분산회로를 구성하여 최대 이득의 직접 광검파를 통계적으로 해석한 이론값과 실험을 통해 얻은 측정값과 비교 해석한다. 또한 측정값이 joint Gaussian 이론곡선과 일치함을 확인한다.

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