Study on Vibration Instability Characteristics of Pipe Conveying Solid-Liquid Two-phase Mixed Internal Flow
In this paper,a two-phase solid-liquid mixed internal flow induced vibration instability governing model for the lifting pipe is established,based on the conservation of momentum and the introduction of a slip model.The vibration governing equation is solved using the harmonic differential quadrature(HDQ)method,and the influence of the grid arrangement strategy of homogeneous and non-homogeneous grids coupled with boundary end-point translation on the solution accuracy of the HDQ method is analyzed.The results show that the vibration characteristics of pipes induced by solid-liquid two-phase flow are significantly different from those induced by single-phase flow.Under the clamped-free boundary condition,the first-order critical velocity increases with the solid particle conveying concentration and size increasing,while the second-order critical velocity decreases instead.Both the first and second order critical frequencies increase as conveying concentration and size increases.The effect of conveying concentration on the critical velocity and frequency is significant,with particle size having a very limited degree of influence.
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