Love wave propagation in heterogeneous micropolar media

Investigation of the effect of characteristics of gas­containing suspensions on the parameters of the process of ultrasonic wave propagation

“…Following the integration of expression (14) by the angular variable, we shall obtain a value of integral intensity…”

“…The expression to determine the magnitude of a flat wave absorption in a fluid, depending on the viscosity of medium, was obtained in the works of Stokes [14]. The sound absorption coefficient, predetermined by thermal conductivity of the medium, was defined in the works by Kirchhoff and Beeker [14].…”

“…We shall assume that there are solid spherical particles of radius r and density r 1 in water, then the absorption cross-section for such a particle would be determined from formula [14] Absorption cross-section determines part of the energy absorbed by a particle. These energy losses are due to friction (viscosity) at particle fluctuations.…”

“…Similar to the Rayleigh waves in nature, but with horizontal polarization, are the Love waves [14]. The Love waves, similar to the surface waves, exist due to the addition to the half-space of a solid layer, which is a load for the half-space.…”

Development of the method to operatively control quality of iron ore raw materials at open and underground extraction

“…Articles [19,20] describe the principles of ultrasonic control of the ore materials' characteristics; however, the authors give no information on the practical application of these principles under industrial conditions. Papers [21,22] considered the ultrasonic control methods, based on the measurements of processes of ultrasonic volumetric and surface waves propagation, as well as high-energy ultrasound in liquid and solid media. These methods are rather critical in terms of the granulometric composition of the investigated medium, which is why it is impossible to use them in order to control quality of lumpy ore. Studies [23,24] considered models of ultrasound propagation in a cavitating fluid, which is unacceptable for solid media.…”