A model of hydraulic transport of a permeable elastic body in a pipe


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Abstract

A steady-state axisymmetric model of transport and transition into a plastic state of a permeable elastic body carried by an incompressible power-law fluid in a vertical pipe flow is constructed. Possible flow regimes are found and the threshold values of the parameters responsible for the change of a regime are determined. Semi-analytical expressions for the fluid velocity distribution in the annulus, the pressure difference, and the steady-state velocity of the body are obtained. The conditions of the transition of the body into a plastic state are studied depending on the governing parameters of the problem.

About the authors

N. A. Lebedeva

Moscow Research Center of the Schlumberger Company

Author for correspondence.
Email: nlebedeva4@slb.com
Russian Federation, Leningradskoe sh. 16A str. 3, Moscow, 125171

K. F. Sin’kov

Moscow Research Center of the Schlumberger Company; Moscow Institute of Physics and Technology (State University)

Email: nlebedeva4@slb.com
Russian Federation, Leningradskoe sh. 16A str. 3, Moscow, 125171; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

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