Dynamics of a fluid-filled curvilinear pipeline

doi:10.1007/s10483-018-2338-9

Abstract

Abstract: A mathematical model is presented, and numerical experiments are performed to describe the mechanics of the slow movement of a pipeline. The problem reduction algorithm to one-dimensional formulation is offered. Results of numerical experiment for the model problem are adduced. The proposed mathematical model is found to adequately describe the dynamics of known phenomena of pipes. The cross-sections of the extended curvilinear thin-walled pipeline are numerically demonstrated to experience warping, which has experimental confirmation in the literature.

Key words: KdV equation, spectral method, Galerkin approximation, pseudospectral approximation, numerical experiment, hydroelasticity, shell theory, bent pipeline

2010 MSC Number:

V. A. RUKAVISHNIKOV, O. P. TKACHENKO. Dynamics of a fluid-filled curvilinear pipeline. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 905-922.

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