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BSU bulletin. Mathematics, Informatics

Bibliographic description:
Badmaev B. B.
,
Dembelova T. S.
,
Makarova D. N.
,
Vershinina E. D.
,
Fedorova S. B.
,
Mashanov A. N.
THEORY OF THE RESONANT METHOD FOR DETERMINING THE COMPLEX SHEAR MODULUS OF LIQUID // BSU bulletin. Mathematics, Informatics. - 2022. №1. . - С. 45-56.
Title:
THEORY OF THE RESONANT METHOD FOR DETERMINING THE COMPLEX SHEAR MODULUS OF LIQUID
Financing:
Codes:
DOI: 10.18101/2304-5728-2022-1-45-56UDK: 534.21:532.135
Annotation:
Shear elasticity should appear at high megahertz frequencies according to existing fluid theories. However, low-frequency (100 kHz) shear elasticity in all liquids independently of their viscosity and polarity was discovered for the first time in our team. It was assumed that a low-frequency viscoelastic relaxation process exists in liq- uids. It is possible that dynamic movements of large groups of molecules appear by low-frequency shear action on the liquid layer. Therefore, further comprehensive de- tailed studies of low-frequency shear elasticity by various methods are of fundamental importance for the physics of liquids. A piezoelectric crystal of rectangular shape for shear action on the studied liquid layer at low frequencies is used in the resonance method. A liquid layer covered with a solid cover-plate is applied to the horizontal face of the piezoelectric quartz. The liquid layer experiences dynamic shear deformations when the piezoelectric quartz oscillates at a resonant frequency and a shear wave is excited in this liquid layer. The general solution to the problem of interaction of the oscillatory system “the piezoelectric quartz — the interlayer of the liquid — the coverplate” is considered in the work. The values of the real shear modulus and the mechani- cal losses angle are calculated from the parameters of the shear wave.
Keywords:
piezocrystal, impedance, resonant frequency, oscillations, attenuation, wave equation, shear modulus, the tangent of the mechanical losses angle, additional bond, shear wave.
List of references: