Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Numerical nonlinear Dynamics study of a simplified two-phase flow model for pipeline-riser systems
Submission Author:
ADILSON PAULO DE JUNIOR , SP , Brazil
Co-Authors:
ADILSON PAULO DE JUNIOR, karl peter burr
Presenter: ADILSON PAULO DE JUNIOR
doi://10.26678/ABCM.COBEM2021.COB2021-0765
Abstract
Nonlinear dynamics of multi-phase flow in pipeline-riser systems is studied as a function of the system param- eters and boundary conditions. The pipeline and the riser are both modeled as control volumes. For the pipeline, liquid and mass conservation equations are considered and the flow regime is assumed as always stratified. The pipeline void fraction follows from the local balance among gas and liquid wall friction forces, gas-liquid interfacial friction force and gravity force. For the riser, liquid and gas mass conservation and linear momentum balance equations are considered plus a kinematic relation to close the model. The resulting model is composed of three differential equations and a set of algebraic equations, and therefore, contains the minimum conditions to present chaotic behavior. It is also simple enough to allow a numerical study of its nonlinear dynamics with techniques, such as Poincare maps and the evaluation of Lyapunov exponents. These techniques are used to numerically map the regions in the system parameters and boundary conditions space with stable and unstable stationary states, with periodic orbits and possibly with chaotic behavior.
Keywords
Numerical simulation, non-linear dynamics, Poincare Maps, Lyapunov Exponents, Two-phase Flow, pipeline-riser systems
