ON THE VERTICAL VELOCITY COMPONENT EFFECTS ON SOUND WAVE PROPAGATION OF A STATIONARY OR FLOWING FLUID IN A CYLINDRICAL TUBE FILLED WITH A POROUS MEDIA

摘要

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 media are the shear wave number s = R(ρ{top}-ω/μ)~(1/2), porosity φ, and the Darcy number Da = R~2/K. A variational solution of the problem with isentropic wave propagation in a cylindrical tube in the presence and absence of a convective steady flow is presented. The radial velocity component is included in the continuity and momentum equations. 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 inclusion of the solid matrix increases wave attenuation and enhances the backward wave effects.