NDLI: Sound Propagation in a Sheared Flow Based on Fluctuating Total Enthalpy as Generalized Acoustic Variable

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Sound Propagation in a Sheared Flow Based on Fluctuating Total Enthalpy as Generalized Acoustic Variable

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Legendre, César Lielens, Gregory Coyette, Jean-Pierre
Abstract	Noise propagation mechanisms in presence of a rotational flow are currently receiving some attention from the aircraft industry. Different methods are used in order to compute the acoustic wave propagation in sheared flows in terms of pressure perturbations (e.g. Linearized Euler Equations (LEE), Lilley’s and Galbrun’s equations). Nevertheless, they have drawbacks in terms of computational performance (high number of DOFs per node, inadequacies of classical numerical schemes like standard FE). In contrast with other studies, in this work, the fluctuating total enthalpy is selected as the main variable in order to describe the acoustic field, which obeys to a convected wave equation obtained by linearization of momentum (Crocco’s form), energy and continuity equations and with coefficients depending on flow variables. The resulting 3D convected wave operator is an extension of the Möhring acoustic analogy which is able to predict the sound propagation through rotational flows in the subsonic regime and is well adapted to FE discretization. A 2D convected wave equation is generated from the previous operator. This is followed by a numerical solution based on FEM with two types of boundary conditions: non reflecting BC and incident plane wave excitation. The numerical results are used to estimate the reflection coefficient generated by the shear flow. The new acoustic wave operator is compared to well-known theories of flow acoustics (Pridmore-Brown wave operator) and shows promising results. Finally additional development steps are presented so further improvements on the new operator can be carried out.
Sponsorship	Noise Control and Acoustics Division
Starting Page	279
Ending Page	284
Page Count	6
File Format	PDF
ISBN	9780791845325
DOI	10.1115/NCAD2012-0838
Volume Number	ASME 2012 Noise Control and Acoustics Division Conference
Conference Proceedings	ASME 2012 Noise Control and Acoustics Division Conference at InterNoise 2012
Language	English
Publisher Date	2012-08-19
Publisher Place	New York City, New York, USA
Access Restriction	Subscribed
Subject Keyword	Enthalpy Wave equations Boundary-value problems Acoustics Excitation Rotational flow Finite element methods Flow (dynamics) Waves Aircraft
Content Type	Text
Resource Type	Article

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