Dynamic stability of a straight pipe conveying pulsatile flow under thermal loads

Dynamic stability of a straight pipe conveying pulsatile flow under thermal loads

Автор: Lolov D.S., Lilkova-markova Sv.V.

Журнал: Вестник Пермского национального исследовательского политехнического университета. Механика @vestnik-pnrpu-mechanics

Статья в выпуске: 2, 2023 года.

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Pipes conveying fluid are considered as a fundamental dynamical problem in the field of fluid-structure interaction. They are widely used in the petroleum industry, in nuclear engineering, aviation and aerospace, in nanostructures. This article investigates the effect of temperature load on the dynamic stability of a straight pipe conveying pulsatile flow. The fluid velocity is a harmonic function of time. The Galerkin method is applied for the solution of the differential equation of the transverse vibrations of the pipe. The differential equation is reduced to a first-order differential equation system. The system of differential equations is transformed and rewritten in a matrix form. The harmonic function of the fluid velocity allows the Floquet theory to be applied in order to investigate the dynamic stability of the system. The static scheme of the investigated pipe is a beam with restricted horizontal and vertical displacements at both of its ends. A numerical solution for a straight pipe conveying fluid with specified geometric and physical characteristics has been carried out. The temperature load and the constant fluid rate are considered as parameters of the problem. The results show that the temperature load affects the vibrational characteristics of the pipe, as well as its critical velocity.

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Pipe, fluid, dynamic stability, thermal load, pulsatile flow

Короткий адрес: https://sciup.org/146282667

IDR: 146282667   |   DOI: 10.15593/perm.mech/2023.2.01

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