Variational Formulation by Integral Equations for the Sound Radiation in a Non Uniform Flow

Tahar, Mabrouk Ben; Hamdi, M. A.

doi:10.1007/978-94-009-3653-9_34

Cited by 1 publication

(3 citation statements)

References 9 publications

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“…Finally, the resolution of this algebraic system by the computer code 15 allows the computation of acoustic potential m (X) at any point X of the domain.…”

Section: A Prediction Proceduresmentioning

confidence: 99%

“…The theoretical far field radiated by the duct is calculated by a computer program 15 BEM and FEM are coupled. It is based on a new variational formulation by integral equations, taking into account internal flow, and where the input data is the complex acoustic potential.…”

Section: A Prediction Proceduresmentioning

confidence: 99%

“…14 Also, investigations have been carried out on a prediction method which leads to a computer program based on a variational formulation by integral equations where FEM and BEM are coupled. [15][16][17] This prediction procedure is applied to a six-bladed/one stator configuration axial fan inside a 2.3-m-long, 0.6-mdiam cylindrical duct. Acoustic pressure, acoustic axial particle velocity, and mean flow velocity measurements inside the duct are performed by the probe and constitute a data base for the numerical process.…”

Section: Introductionmentioning

confidence: 99%

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A mixed experimental and theoretical method for noise propagation and radiation prediction of a cowled axial fan

Lazreq

Tahar

Ville

et al. 1996

The Journal of the Acoustical Society of America

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A method for predicting acoustic pressure radiated by a duct opening with internal axial flow, based upon mixed experimental and numerical tools, is presented. It is applied to a six-bladed/one stator configuration axial fan cowled by a cylindrical duct 2.3 m long, 0.6 m in diameter and carrying a low-speed axial flow ͑M 0 р0.1͒. Experimental mappings of acoustic pressure, acoustic axial particle velocity, and axial mean flow velocity at blade passing frequencies upstream of the rotor are carried out using a probe made of a microphone and a single hot wire. The results show an acoustic field structure as expected by acoustic propagation laws in ducts. After a modal filtering, experimental radial acoustic potential profiles are input to the database for the prediction process. In the second step, the theoretical radiated far field is computed using a program based on a variational formulation by integral equations accounting for internal flow. The very good agreement between theoretical and experimental results demonstrates the validity of this method.

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“…Finally, the resolution of this algebraic system by the computer code 15 allows the computation of acoustic potential m (X) at any point X of the domain.…”

Section: A Prediction Proceduresmentioning

confidence: 99%

Section: A Prediction Proceduresmentioning

confidence: 99%