NDLI: On the Non-Isentropic Sound Waves Propagation in a Cylindrical Tube Filled with Saturated Porous Media

Content Provider	Springer Nature Link
Author	Duwairi, H. M.
Copyright Year	2008
Abstract	A rigid frame, cylindrical capillary theory of sound propagation in porous media that includes the nonlinear effects of the Forchheimer type is laid out by using variational solutions. It is shown that the five main parameters governing the propagation of sound waves in a fluid contained in rigid cylindrical tubes filled with a saturated porous media are: the shear wave number, $${s = R\sqrt{{\overline{\rho}\omega/\mu}}}$$ , the reduced frequency parameter, $${k = {wR}/\overline{a}}$$ , the porosity, ε, Darcy number, $${Da = R/\sqrt{K}}$$ , and Forchheimer number, $${C_F^\ast =2C_F}$$ . The manner in which the flow influences the attenuation and the phase velocities of the forward and backward propagating non-isentropic acoustic waves is deduced. It is found that the inclusion of the solid matrix increases wave’s attenuations and phase velocities for both forward and backward sound waves, while increasing the porosity and the reduced frequency number decreased attenuation and increased phase velocities. The effect of the steady flow is found to decrease the attenuation and phase velocities for forward sound waves, and enhance them for the backward sound waves.
Starting Page	285
Ending Page	300
Page Count	16
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	79
Issue Number	2
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-12-31
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Non-isentropic Sound waves Porous medium Fluid flow Mechanics, Fluids, Thermodynamics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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