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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v12.i6.40
pages 537-548

Propagation of Sound Waves in a Cylindrical Tube Filled with a Porous Medium

Hamzeh M. Duwairi
Mechanical Engineering Department, Faculty of Engineering and Technology, The University of Jordan, 11942, Amman, Jordan
Hazim M. Dwairi
Civil Engineering Department, Hashemite University, Jordan

ABSTRACT

It is shown that the three main parameters governing the propagation of sound waves in a fluid contained in rigid cylindrical tubes filled with a saturated porous medium are the shear wave number s = R√(ρω/μ), the porosity ε, and the Darcy number Da = R/√(K). A variational solution of the problem with an isentropic wave's propagation in a cylindrical tube in the presence or absence of a convective steady flow is presented. The manner in which the flow influences the attenuation and the phase velocity of the forward and backward propagating acoustic waves is deduced. It is found that the increasing of porosity increases the wave's attenuations and enhances phase shift for both the forward and backward propagated sound waves for either case of absent or present steady flow; this is due to the favorable effect of the solid matrix in damping sound waves. It is also found that as the Darcy number is increased the attenuation and phase shift are increased for both the forward and backward sound waves for the case of absent steady flow, while for the case of present steady flow the attenuation is increased and phase shift is decreased for the forward sound waves, and both the attenuation and phase shift are decreased for the backward sound waves; this is due to the favorable retarding effect of the solid matrix on the forward sound waves and unfavorable collision effect on the backward sound waves.


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