Abstract
Propagation of a pressure pulse in a circular elastic pipe filled with viscoelastic liquid is studied. The liquid rheology is described by Oldroyd equation in an integral form; the time-dependent friction in liquid at the tube wall is calculated within quasi-one-dimensional approach from solution of non-stationary hydrodynamic problem for the same waveguide but with rigid walls. Equations of liquid dynamics in the wave are coupled with the stress-displacement relation for the thin tube by appropriate boundary conditions. The resulting system of equations is solved by operational method. The expression for the pressure amplitude in the wave in Laplace domain is inverted numerically. Plots of pressure evolution in the waveguide are presented; they demonstrate essentially less wave attenuation along the tube, as compared with a pure viscous liquid.
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The study was supported by the Shamoon College of Engineering (SCE).
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Levitsky, S., Bergman, R. (2017). Fluid Rheology Effect on Wave Attenuation in an Elastic Pipe. In: Ben-Dor, G., Sadot, O., Igra, O. (eds) 30th International Symposium on Shock Waves 2. Springer, Cham. https://doi.org/10.1007/978-3-319-44866-4_34
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DOI: https://doi.org/10.1007/978-3-319-44866-4_34
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