Vibration analysis of a pipe conveying two-phase flow with an improved drift-flow model

The interaction between fluids and pipes induces vibrations, and can lead to complex instability phenomena and dynamic behaviors. This study presents a comprehensive theoretical investigation and numerical simulations to examine the dynamic responses of pipes conveying gas–liquid two-phase flows by employing the Euler–Bernoulli beam theory in conjunction with the Generalized Integral Transform Technique. The dynamics of two-phase flows within pipes is modeled using the drift flux approach applicable to full flow pattern domain and full inclination range, whose advantage lies in its ability to avoid computational discontinuities induced by flow pattern transitions. The convergence of the proposed model is validated through rigorous testing. A detailed analysis explores the impact of various flow parameters, including the density, viscosity, and void fraction of the liquid phase, on the linear stability and vibrational characteristics of the pipes. Furthermore, the study investigates the influence of internal gas volume fraction and boundary conditions on the linear stability of the pipe system. Numerical results show that the fluid properties and two-phase flow parameters, coupled with the boundary conditions of the pipe, play a pivotal role in determining the dynamic behavior of the fluid-pipe system.