A two-dimensional solution of the FW-H equation for rectilinear motion of sources

Alireza Bozorgi; Leonidas Siozos-Rousoulis; Ahmad Nourbakhsh; Ghader Ghorbaniasl

doi:10.1016/j.jsv.2016.10.035

A two-dimensional solution of the FW-H equation for rectilinear motion of sources

Alireza Bozorgi, Leonidas Siozos-Rousoulis, Ahmad Nourbakhsh, Ghader Ghorbaniasl

Faculty of Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, a subsonic solution of the two-dimensional Ffowcs Williams and Hawkings (FW-H) equation is presented for calculation of noise generated by sources moving with constant velocity in a medium at rest or in a moving medium. The solution is represented in the frequency domain and is valid for observers located far from the noise sources. In order to verify the validity of the derived formula, three test cases are considered, namely a monopole, a dipole, and a quadrupole source in a medium at rest or in motion. The calculated results well coincide with the analytical solutions, validating the applicability of the formula to rectilinear subsonic motion problems.

Original language	English
Pages (from-to)	216-229
Number of pages	14
Journal	JOURNAL OF SOUND AND VIBRATION
Volume	388
DOIs	https://doi.org/10.1016/j.jsv.2016.10.035
Publication status	Published - 3 Feb 2017

Keywords

FW-H equations
Far-field
Rectilinear subsonic motion
Frequency domain

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10.1016/j.jsv.2016.10.035

FWOAL791: Uncertainty Quantification in Aeroacoustic Robust Design Applications
Contino, F. & Ghorbaniasl, G.
1/01/16 → 31/12/19
Project: Fundamental
IWT664: Prediction of direct and scattered sound field from rotating machinery
De Troyer, T., Ghorbaniasl, G., Lacor, C. & Siozos-Rousoulis, L.
1/01/14 → 31/12/17
Project: Fundamental

Cite this

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title = "A two-dimensional solution of the FW-H equation for rectilinear motion of sources",

abstract = "In this paper, a subsonic solution of the two-dimensional Ffowcs Williams and Hawkings (FW-H) equation is presented for calculation of noise generated by sources moving with constant velocity in a medium at rest or in a moving medium. The solution is represented in the frequency domain and is valid for observers located far from the noise sources. In order to verify the validity of the derived formula, three test cases are considered, namely a monopole, a dipole, and a quadrupole source in a medium at rest or in motion. The calculated results well coincide with the analytical solutions, validating the applicability of the formula to rectilinear subsonic motion problems.",

keywords = "FW-H equations, Far-field, Rectilinear subsonic motion, Frequency domain",

author = "Alireza Bozorgi and Leonidas Siozos-Rousoulis and Ahmad Nourbakhsh and Ghader Ghorbaniasl",

year = "2017",

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doi = "10.1016/j.jsv.2016.10.035",

language = "English",

volume = "388",

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T1 - A two-dimensional solution of the FW-H equation for rectilinear motion of sources

AU - Bozorgi, Alireza

AU - Siozos-Rousoulis, Leonidas

AU - Nourbakhsh, Ahmad

AU - Ghorbaniasl, Ghader

PY - 2017/2/3

Y1 - 2017/2/3

N2 - In this paper, a subsonic solution of the two-dimensional Ffowcs Williams and Hawkings (FW-H) equation is presented for calculation of noise generated by sources moving with constant velocity in a medium at rest or in a moving medium. The solution is represented in the frequency domain and is valid for observers located far from the noise sources. In order to verify the validity of the derived formula, three test cases are considered, namely a monopole, a dipole, and a quadrupole source in a medium at rest or in motion. The calculated results well coincide with the analytical solutions, validating the applicability of the formula to rectilinear subsonic motion problems.

AB - In this paper, a subsonic solution of the two-dimensional Ffowcs Williams and Hawkings (FW-H) equation is presented for calculation of noise generated by sources moving with constant velocity in a medium at rest or in a moving medium. The solution is represented in the frequency domain and is valid for observers located far from the noise sources. In order to verify the validity of the derived formula, three test cases are considered, namely a monopole, a dipole, and a quadrupole source in a medium at rest or in motion. The calculated results well coincide with the analytical solutions, validating the applicability of the formula to rectilinear subsonic motion problems.

KW - FW-H equations

KW - Far-field

KW - Rectilinear subsonic motion

KW - Frequency domain

U2 - 10.1016/j.jsv.2016.10.035

DO - 10.1016/j.jsv.2016.10.035

M3 - Article

VL - 388

SP - 216

EP - 229

JO - Journal of sound and vibration

JF - Journal of sound and vibration

SN - 0022-460X

ER -

A two-dimensional solution of the FW-H equation for rectilinear motion of sources

Abstract

Keywords

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Projects

FWOAL791: Uncertainty Quantification in Aeroacoustic Robust Design Applications

IWT664: Prediction of direct and scattered sound field from rotating machinery

Cite this