Pipelines frequently experience vibration due to fluid-induced forces, presenting a complex array of destabilization mechanisms and dynamic characteristics. This paper delves into the dynamic behavior of pipelines during the conveyance of gas-liquid two-phase flow, utilizing theoretical analysis and numerical simulation. Employing the Euler-Bernoulli beam model in conjunction with the Generalized Integral Transform Method (GITT), the study provides a detailed examination of the impacts of flow parameters, including liquid-phase density, viscosity, and void fraction on the linear stability and vibrational characteristics of pipelines.
Pipelines, essential for transporting fluids in the petrochemical industry, play a crucial role in oil and gas extraction, transportation, and processing. The flow of fluids within these pipelines can exert forces on the pipe walls, leading to vibrations. Over time, these vibrations can cause progressive support damage due to micromotor wear or fatigue, potentially resulting in pipeline leakage and instability. These issues, if not addressed, can culminate in catastrophic events(Ma et al., 2023; Tuo et al., 2022). Significant progress has been achieved in researching the dynamic behavior of pipelines conveying both single-phase and two-phase flows(Ebrahimi-Mamaghani et al., 2022; Païdoussis, 2021). The dynamic behavior of pipes conveying two-phase flow is influenced by several factors, including fluid-solid coupling, which encompasses both fluid properties and the structural properties of the pipe(Fu et al., 2024). Additionally, boundary conditions, time-varying phenomena, such as pulsating fluids impacting the pipe's inner and outer walls(Sazesh and Shams, 2019), and external excitations, play a significant role.
The research of Bao et al. (2023) examines how changes in liquid-phase density and viscosity affect the linear stability of pipelines in gas-liquid two-phase flows, incorporating extensive simulations and experimental data analysis. It specifically focuses on how vibration influences factors such as cross-sectional liquid holdup, pressure fluctuation, and secondary flow in these systems. The results of this study are crucial for a deeper understanding of the behavior of inclined pipes in different scenarios, particularly in the context of offshore oil and gas engineering. Charreton et al. (2015) explore two-phase flow-induced vibration, a major concern in the nuclear industry. The research identifies that two-phase damping depends on flow patterns and volumetric fraction, particularly in bubbly flow. It concludes that bubble drag forces play a significant role in two-phase damping dissipation. This paper provides valuable insights into understanding and predicting vibration effects in steam generators and similar systems. Fu et al. (2023) explore the dynamic responses of the pipe system using the GITT method through various analytical methods, such as bifurcation diagrams, phase trajectory diagrams, power spectrum diagrams, and Poincaré maps. The findings reveal that the amplitude and frequency of base excitation significantly influence the pipe's dynamic behavior, leading to diverse resonance phenomena and complex motion behaviors like quasi-periodic or chaotic motions.
