Determination of porosity of saturated solid using the effect of non-specular reflection of Gaussian sound beam

• Autorzy: Piddubniak O. , Pakowski Z.
• Języki publikacji: EN

Abstrakty

EN

A new accoustical method of determination of porosity of the solid saturated by a liquid is proposed. The new method is based on the multiple application of the focused Gaussian beam of the quasi . harmonic sound waves locally irradiating a plane boundary interface between a fluid phase and porous medium in the mass transfer process, in particular, drying of the materials. The scanning of the sound beam on the boundary surface allows a possibility of the non-specular reflection. It is shown that maximum value of the wave power in the non-specular reflected sound can be achieved, when an angle of the incidence wave coincidences with a critical angle of the Rayleigh surface wave excitation in the porous elastic solid. A solution of the dispersion equation of this problem connected with the Rayleigh critical angle, from one hand, and porosity parameters of the reflecting body, from other hand. It allows immediately to determinate the initial porosity of the medium from the amplitude of non-specular reflected sound for each of the discrete acts of the sound irradiation. Numerical calculations demonstrate the effect of the non-specular reflection effect for a system: water . sandstone saturated by kerosene.

Słowa kluczowe

EN

Gaussian; solid; sound beam

• Wydawca: Komitet Inżynierii Chemicznej i Procesowej Polskiej Akademii Nauk
• Czasopismo: Inżynieria Chemiczna i Procesowa
• Rocznik: 2004
• Tom: T. 25, z. 3/3
• Strony: 1487--1493
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Piddubniak O.

• National University Lviv Politechnika, Institute of Computer Technology, Automatics and Metrology, Bandera's str. 12, 79-046 Lviv, Ukraine

autor

Pakowski Z.

• Technical University of Lodz, Faculty of process and Environmental Engineering, Wolczanska str. 213/215, 90-924 Lodz, Poland

Bibliografia

• [1] STRUMIŁŁO CZ., Podstawy teorii i techniki suszenia, WTN, Warszawa, 1983, 473.
• [2] GAVIGLIA G., MORRO A., STRAUGHAM B., Reflection and refraction at a fluid-porous medium interface, i. Acoust. Soc. Amer., 1992, 92, 1113.
• [3] SASAKI S., Back reflection of ultrasonic wave obliąuely incident to solid surface in water, Japan J. Appl. Phys., 1963, 2, No 3, 198.
• [4] LEROY O., Nonspecular reflection-transmission phenomena of bounded beams described by inhomogeneous piane waves, Acoustic Interactions with Submerged Elastic Structures, Part 1: Acoustic Scattering and Resonances, World Sci. Publ., New York, 1996, 129.
• [5] PIDDUBNYAK O., MATUS V., Non-specular reflection of bounded acoustic beam from a porous half- space, DIPED-97: Proceedings II International Seminar/ Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (Lviv, Sept. 15-17, 1997), Lviv, 1997, 97.
• [6] VINOGRADOVA MB., RUDENKO O.V., SUKHORUKOV A.P., Theory of the waves, Nauka, Moscow, 1979,383 p. (In Russian).
• [7] FELSEN B.L., MARCUVITZ N. Radiation and scattering of waves, Vol. 1, Mir, Moscow, 1978, 547 p. (In Russian)
• [8] YAVARI B., BEDFORD A., Comparison of numerical calculations ot two Biot coefficients with anayticalsolution, J. Acoust. Soc. Amer., 1991, 90, 985.