Archives of Acoustics, 37, 2, pp. 151–160, 2012

Numerical Modelling of the Acoustic Pressure Inside an Axisymmetric Lined Flow Duct

Mohamed TAKTAK
Unite de Mecanique, Modelisation et Productique (U2MP) Departement de Genie Mecanique, Ecole Nationale d’Ingenieurs de Sfax, Universite de Sfax

Mohamed Ali MAJDOUB
Unite de Mecanique, Modelisation et Productique (U2MP) Departement de Genie Mecanique, Ecole Nationale d’Ingenieurs de Sfax, Universite de Sfax

Mabrouk BENTAHAR
(Laboratoire Roberval UMR UTC-CNRS n◦6253.Universite de Technologie de Compiegne

Mohamed HADDAR
Unite de Mecanique, Modelisation et Productique (U2MP) Departement de Genie Mecanique, Ecole Nationale d’Ingenieurs de Sfax, Universite de Sfax

Numerical methods are mostly used to predict the acoustic pressure inside duct systems. In this
paper, the development of a numerical method based on the convected Helmholtz equation to compute
the acoustic pressure inside an axisymmetric duct is presented. A validation of the proposed method was
done by a comparison with the analytical formulation for simple cases of hard wall and lined ducts. The
effect of the flow on the acoustic pressure inside these ducts was then evaluated by computing this field
with different Mach numbers.
Keywords: lined duct; mean flow; finite element method; axisymmetric duct
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