On the Theory of Acoustic Sounding of Tubular Channels Containing Depressurization Portions

A study is made of the evolution of pressure perturbations that propagate in a tubular channel filled with liquid or gas and having a damaged portion in the form of fairly large slots when their hydraulic resistance is minor. For this purpose, the authors have adopted a mathematical model taking acc...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2018-05, Vol.91 (3), p.663-672
Main Authors: Shagapov, V. Sh, Galiakbarova, É. V., Khakimova, Z. R.
Format: Article
Language:English
Subjects:
ATTENUATION
Classical Mechanics
Complex Systems
DAMAGE
DEPRESSURIZATION
DISPERSION RELATIONS
ENGINEERING
Engineering Thermodynamics
HARMONICS
HEAT
Heat and Mass Transfer
HYDRAULICS
Industrial Chemistry/Chemical Engineering
LIQUIDS
MATHEMATICAL MODELS
PHASE VELOCITY
SIGNALS
SOUND WAVES
Thermodynamics
THIN FILMS
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Summary:A study is made of the evolution of pressure perturbations that propagate in a tubular channel filled with liquid or gas and having a damaged portion in the form of fairly large slots when their hydraulic resistance is minor. For this purpose, the authors have adopted a mathematical model taking account of viscous friction and of the transfer of heat in a thin layer of the liquid (or the gas) near the wall. Based on this model, dispersion relations have been obtained for the processes of propagation and reflection of harmonic waves from the damaged portion. An analysis has been made of the dependences of the phase velocity, the attenuation factor, and also the coefficients of reflection and transmission on the circular frequency, the physical properties of the liquid or the gas, and also the size of damage. The authors have presented results illustrating the dynamics of pulsed signals as a function of the distance to the damaged portion from the inlet cross section of the channel, the damage scale, and of the form of the medium (liquid or a gas) in the channel.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-018-1788-x