Dynamics of a pipeline with a liquid under longitudinal rotation

Abstract

A mathematical model of a pipeline conveying liquid is considered. The
pipeline performs rotational motion around its longitudinal straight-line
state. The nonlinear coupled fluid-structure interaction problem is solved.
The constructed mathematical model appears as a system of ordinary dif-
ferential equations governing the amplitude functions of the natural eigen
modes; the system is resolved with respect to the second derivatives. For
the constant angular velocity of the pipeline, the system is analysed for
subcritical and supercritical ranges of the liquid flow velocities.