Propagation of sound in a duct with mean flow

Ayub, M.; Tiwana, M.H.; Mann, A.B.

doi:10.1016/j.cnsns.2009.02.003

Cited by 16 publications

(14 citation statements)

References 18 publications

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“…Now we have those conditions at infinity which are relevant to the nature of the lowest propagating modes which the various duct regions can sustain [5]: For the region (Àa 6 y 6 a; X < 0Þ, we may write…”

Section: ð2:16þmentioning

confidence: 99%

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Acoustic diffraction in a trifurcated waveguide with mean flow

Ayub

Tiwana

Mann

2010

Communications in Nonlinear Science and Numerical Simulation

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Section: ð2:16þmentioning

confidence: 99%

“…It has attracted the attention of various investigators working in the field [1][2][3][4][5]. In view of historical perspectives the story goes that Jones [6] analyzed the scattering of plane wave from three parallel soft semi-infinite and equidistant plates and evaluated the far field and the field within the waveguide.…”

Section: Introductionmentioning

confidence: 99%

Acoustic diffraction in a trifurcated waveguide with mean flow

Ayub

Tiwana

Mann

2010

Communications in Nonlinear Science and Numerical Simulation

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“…The associated boundary conditions = 0 and ∂ ∂ y = 0 are termed as soft and hard boundary conditions and correspond to the surfaces having infinite and zero complex admittances, respectively [17]. Now we have those conditions at infinity which are relevant to the nature of the lowest propagating modes which the various duct regions can sustain [4]:…”

Section: Problem Statementmentioning

confidence: 99%

Wiener-Hopf analysis of an acoustic plane wave in a trifurcated waveguide

2010

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In this paper, we have made Wiener-Hopf analysis of an acoustic plane wave by a semi-infinite hard duct that is placed symmetrically inside an infinite soft/hard duct. The method of solution is integral transform and Wiener-Hopf technique. The imposition of boundary conditions result in a 2 × 2 matrix Wiener-Hopf equation associated with a new canonical scattering problem which is solved by using the pole removal technique. In the solution, two infinite sets of unknown coefficients are involved that satisfy two infinite systems of linear algebraic equations. These systems of linear algebraic equations are solved numerically. The graphs are plotted for sundry parameters of interest. Kernel functions are also factorized.

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“…The three-dimensional function f=(p,Φ) represents the acoustic field in which p is the acoustic pressure and that Φ is the acoustic velocity potential. They are related by the following Bernoulli equation 86 …”

Section: Modal Formulationsmentioning

confidence: 99%

A modal boundary element method for axisymmetric acoustic problems in an arbitrary uniform mean flow

Barhoumi

Bessrour

2020

International Journal of Aeroacoustics

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This paper presents a new numerical analysis approach based on an improved Modal Boundary Element Method (MBEM) formulation for axisymmetric acoustic radiation and propagation problems in a uniform mean flow of arbitrary direction. It is based on the homogeneous Modal Convected Helmholtz Equation (MCHE) and its convected Green’s kernel using a Fourier transform method. In order to simplify the flow terms, a general modal boundary integral solution is formulated explicitly according to two new operators such as the particular and convected kernels. Through the use of modified operators, the improved MBEM approach with flow takes a convective form of the general MBEM approach and has a similar form of the nonflow MBEM formulation. The reference and reduced Helmholtz Integral Equations (HIEs) are implicitly taken into account a new nonreflecting Sommerfeld condition to solve far field axisymmetric regions in a uniform mean flow. For isolating the singular integrations, the modal convected Green’s kernel and its modified normal derivative are performed partly analytically in terms of Laplace coefficients and partly numerically in terms of Fourier coefficients. These coefficients are computed by recursion schemes and Gauss-Legendre quadrature standard formulae. Specifically, standard forms of the free term and its convected angle resulting from the singular integrals can be expressed only in terms of real angles in meridian plane. To demonstrate the application of the improved MBEM formulation, three exterior acoustic case studies are considered. These verification cases are based on new analytic formulations for axisymmetric acoustic sources, such as axisymmetric monopole, axial and radial dipole sources in the presence of an arbitrary uniform mean flow. Directivity plots obtained using the proposed technique are compared with the analytical results.

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Propagation of sound in a duct with mean flow

Cited by 16 publications

References 18 publications

Acoustic diffraction in a trifurcated waveguide with mean flow

Acoustic diffraction in a trifurcated waveguide with mean flow

Wiener-Hopf analysis of an acoustic plane wave in a trifurcated waveguide

A modal boundary element method for axisymmetric acoustic problems in an arbitrary uniform mean flow

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