Spectral Characteristics of Wave Processes in Circular Porous Cylinder Rotated in Acoustical Medium with a Non-Constant Angular Velocity

Abstract

The plane strain of an porous, infinitely long circular cylinder saturated by a liquid and rotating around its axis of symmetry with a non-uniform angular velocity in an ideal compressible non-viscous fluid (gas) is studied. The mass transfer boundary surface condition is satisfied. The spectral characteristics for the elastic displacement and stresses for a case of sandy cylinder saturated by the kerosene and immersed in the air are numerical calculated. IntroductionThe plane strain of the homogeneous elastic circular cylinder of infinite length rotated about its axis with a non-uniform angular velocity in an acoustical medium around its axis of symmetry was studied in the our papers [10,12]. In the work [11] we investigated sound radiation from the porous circular cylinder saturated by a liquid and rotating around its axis of symmetry. Influence of axisymmetric rotation of a porous circular on spectral characteristics of porosity was reported in [8]. A possibility of measuring porosity of a fully saturated medium by using the effect of the non-specular reflection of the Gaussian focused acoustic beam was considered in paper [9].The objective of this work is analysis of the frequency characteristics for the displacements and stress in the saturated porous circular cylinder with taking into account of the mass transfer (isotermal drying).