45th AIAA Aerospace Sciences Meeting and Exhibit, January 8-11, 2007, Reno, NV., USA.
Investigation of Noise Sources in Turbulent Hot Jets using
Large Eddy Simulation Data
Phoi-Tack Lew
∗
, Gregory A. Blaisdell
†
, and Anastasios S. Lyrintzis
‡
School of Aeronautics and Astronautics
Purdue University
West Lafayette, IN 47907
Through the use of Lighthill’s acoustic analogy, the aim of this paper is to investigate the noise sources
of turbulent heated round jets using previously simulated Large Eddy Simulation (LES) data. Two heated
and one unheated jet are considered to study the effects of heating on the noise source contributions to the
far-field. Firstly, the computed overall sound pressure level (OASPL) and spectra are in good agreement with
the prediction obtained from the porous Ffowcs Williams-Hawkings (FWH) surface integral method. Like
the FWH prediction, however, the computed OASPL over-predicts the experiments by approximately 3dB
but the trends agree reasonably well with the experimental results. Through decomposition of the Lighthill
source term we obtain such sources as shear, self and entropy noise. An important finding is that when a high
speed subsonic compressible jet is heated while keeping the ambient jet Mach number constant, significant
cancellations occur in the far-field between the shear and entropy noise. In addition, heating a jet reduces the
intensity of the nonlinear self noise terms compared to an unheated jet. For a low speed heated jet, the main
contributing source is the entropy noise source while the shear and self noise sources hardly contribute to the
far-field noise.
Nomenclature
Roman Symbols
a
j
Jet centerline speed of sound
a
∞
Ambient speed of sound
D
j
Jet diameter
M
j
Mach number = U
j
/a
j
M
∞
Acoustic Mach number = U
j
/a
∞
OASPL Overall sound pressure level
p pressure
r
o
Initial jet radius
R Radial arc length from centerline jet exit
Re
D
Jet Reynolds number = ρ
j
U
j
D
j
/μ
j
Sr Strouhal number = fD
j
/U
j
T
j
Jet centerline temperature
T
ij
Lighthill stress tensor, total noise
T
l
ij
Shear noise
T
n
ij
Self noise
T
s
ij
Entropy noise
T
∞
Ambient temperature
U
j
Jet streamwise centerline velocity
∗
Graduate Research Assistant, Student Member AIAA.
†
Associate Professor, Senior Member AIAA.
‡
Professor, Associate Fellow AIAA.
Copyright c 2007 by P. Lew, G. A. Blaisdell and A. S. Lyrintzis. All other rights are reserved by the copyright owner.
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American Institute of Aeronautics and Astronautics Paper 2007-0016
45th AIAA Aerospace Sciences Meeting and Exhibit
8 - 11 January 2007, Reno, Nevada
AIAA 2007-16
Copyright © 2007 by P. Lew, G. A. Blaisdell and A. S. Lyrintzis. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.