Broadband noise prediction of fan outlet guide vane using a cascade response function

Posson, Hélène; Moreau, Stéphane; Roger, Michel

doi:10.1016/j.jsv.2011.07.040

Cited by 92 publications

(56 citation statements)

References 52 publications

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“…(39)) is: (54) It is then possible to use the same strategy as was done up to now (e.g. [4,12,13]) to compute the noise generated, by simply providing the pressure jump (assuming flat plate) or the blade pressure distribution by an analytical model or a CFD simulation to compute the radiated noise.…”

Section: Pressure Field Given By the Acoustic Analogymentioning

confidence: 99%

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The acoustic analogy in an annular duct with swirling mean flow

Posson

Peake

2013

J. Fluid Mech.

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The present study aims at developing an acoustic formulation for the sound generated by the interaction of solid surfaces (such as blades) with an unsteady flow in an annular duct with swirl. Indeed, the mean flow in between the rotor and the stator of the fan or of a compressor stage is highly swirling. As a result, in order to properly predict the rotor self-noise radiated downstream of the rotor or the rotor-stator interaction noise radiated upstream of the stator, the swirling mean flow effect must be accounted for, either in the source terms or in the differential operator in an acoustic analogy. The proposed approach here, is to develop an acoustic analogy with an operator accounting for the swirl. It can be seen as an extension of Goldstein formulation in uniform mean flow (Aeroacoustics, 1976). The Navier-Stokes equations are first recast to obtain the differential operator and the associated equivalent noise sources in space and time. Then, the Green's function tailored to the rigid annular duct with swirl is derived in the frequency domain. Finally, the formulation to be used in the fan noise context is outlined.

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Section: Pressure Field Given By the Acoustic Analogymentioning

confidence: 99%

“…(50) is the analog in an annular duct (used for instance by [12,13]) to that given by Goldstein in the circular duct case for the density field.…”

Section: Particular Configurations 41 Sheared Flow With No Surfaces:mentioning

confidence: 99%

The acoustic analogy in an annular duct with swirling mean flow

Posson

Peake

2013

J. Fluid Mech.

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“…Posson et al [12] recently presented an acoustic model for the broadband noise due to rotor-stator interaction. It relies on a striptheory method based on a previously published formulation of the unsteady vane loading for a rectilinear cascade [10], which is then coupled with an acoustic analogy in an annular duct [11,25].…”

Section: B Cascade-based Acoustic Model 1 Analytical Cascade Responmentioning

confidence: 99%

“…Recently, Posson et al [10,11] proposed a model for rotor-stator interaction considering skewed (3-D) gusts and a 3-D analytical cascade response. Whereas this model has only been used for fan broadband noise applications [12], the current study focuses on the evaluation of this model for fan tonal noise prediction.…”

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confidence: 99%

Evaluation of a Cascade-Based Acoustic Model for Fan Tonal Noise Prediction

Laborderie

Moreau

2014

AIAA Journal

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This study aims at evaluating an analytical model for the prediction of tonal fan noise created by the rotor-stator interaction. The methodology consists of comparing unsteady flow simulations with the cascade-based acoustic model to quantify the influence of some technological effects not included in the model. The simulations are performed with a dedicated turbomachinery flow solver Turb'Flow on a simplified stator vane cascade. They allow discussing the effects of both model assumptions of no vane thickness and inviscid flow on the predictions of the acoustic sources as well as on the modal acoustic powers radiated within the duct. The Kutta condition is found to be efficient to locally represent the viscosity effects, and the vane thickness tends to moderately modify the distributions of the sources and the amplitudes of the duct modes. Moreover, a three-dimensional decomposition of the aerodynamic excitation is proposed and coupled with the three-dimensional analytical cascade response. This fully three-dimensional acoustic model is evaluated by comparisons with an unsteady simulation of a realistic axial compressor stage. An improvement in the prediction of the acoustic sources and powers is clearly shown with respect to the previously used twodimensional version of the model. Nomenclature a = index of intervane channel acoustic mode B = number of rotor blades C = chord, m c 0 = speed of sound, m · s −1 d = nonoverlapping distance of the cascade, m E m;μ = duct radial function of the mode m; μ e = thickness, m f = force per surface unity, N · m −2 G = Green's function h = normal intervane distance, m j = index of the harmonic of the blade-passing frequency k = index of rectilinear cascade acoustic mode k r = spanwise aerodynamic wave number, m −1 M = Mach number m = order of azimuthal duct mode p = acoustic pressure, Pa p = order of the spanwise aerodynamic wave number S = surface, m 2 s= intervane distance, m T r = duct span, m t = time, s U xc = axial velocity in the rectilinear cascade reference frame, m · s −1 U xd = axial velocity in the duct reference frame, m · s −1 V = number of stator vaneŝ W j = azimuthal Fourier coefficient of w, m · s −1 W j;p = azimuthal and radial Fourier coefficient of w, m · s −1 w = upwash velocity (aerodynamic excitation), m · s −1 x, r, θ = cylindrical coordinates y = dimensionless wall distance ΔP = pressure jump across a flat plate (vane response), Pa μ = order of radial duct mode Π j = tonal acoustic power, W σ = intervane phase angle, rad χ m;μ = duct eigenvalue of the duct mode m; μ, m −1 χ s = vane stagger angle, rad Ω = rotational velocity, rad · s −1 Subscripts c = relative to the cascade reference frame d = relative to the duct reference frame H = relative to hub T = relative to tip

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“…For compressors, fans, pumps, and so forth, IGV is also used to manipulate their operating load [6][7][8][9][10][11]. Outlet guide vane (OGV) is heavily used at downstream of low pressure turbines, fans, compressors, and pumps, where the rotating velocity can be effectively transformed to static pressure, reducing flowinduced vibration and noise [12][13][14][15][16][17][18][19]. Nozzle guide vane (NGV) is widely used in turbines.…”

Section: Introductionmentioning

confidence: 99%

A New Proposed Return Guide Vane for Compact Multistage Centrifugal Pumps

Zhang

Shi

et al. 2013

International Journal of Rotating Machinery

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For widely used multistage centrifugal pumps, their former structures are so bulky that nowadays growing interest has been shifted to the development of more compact structures. Following this trend, a compact pump structure is provided and analysed. To maintain the pump's pressure recovery, as well as to meet the water flow from the impeller, a circumferential twisted return guide vane (RGV) is proposed. To validate this design method, the instantaneous CFD simulations are performed to investigate the rotorstator interventions. Within the impeller, the pressure fluctuation is cyclic symmetry, where the impeller frequency dominates. At the zone where flow leaves impeller for RGV, the pressure fluctuation is nonperiodic, the impeller frequency is major, and the rotation frequency is secondary. Within RGV, the periodic symmetric fluctuation is recovered, where the rotation frequency is governing. The fluctuation decreases from seven cycles within impeller to two cycles within RGV, indicating that the flow from impeller is well handled by RGV. To examine the pump's performance, a prototype multistage pump is designed. The testing shows that the pump efficiency is 57.5%, and the stage head is 9 m, which is comparable to former multistage centrifugal pumps. And this design is more advantageous in developing compact multistage centrifugal pumps.

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Broadband noise prediction of fan outlet guide vane using a cascade response function

Cited by 92 publications

References 52 publications

The acoustic analogy in an annular duct with swirling mean flow

The acoustic analogy in an annular duct with swirling mean flow

Evaluation of a Cascade-Based Acoustic Model for Fan Tonal Noise Prediction

A New Proposed Return Guide Vane for Compact Multistage Centrifugal Pumps

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