Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Two-phase flow stability analysis using a level set approach
Submission Author:
Bruno Marins Soares , RJ , Brazil
Co-Authors:
Mamta Raju Jotkar, Daniel Rodriguez, Bruno Marins Soares
Presenter: Bruno Marins Soares
doi://10.26678/ABCM.COBEM2017.COB17-0431
Abstract
Prediction methods for flow pattern transition within pipelines in industrial applications still relies on the famous one-dimensional two-phase model, which in turn owes its success to being calibrated with empirical correlations. Mathematical and physical models capable of doing such predictions from first principles exist only for two-dimensional channels. Extending such models for real three-dimensional cases remains as a challenge to the scientific community. Using a variable-properties, single-fluid formulation together with the level set method, as opposed to the traditional one which considers two separated fluid phases is a promising approach to accomplish a rigorous stability analysis for three-dimensional flows. This work presents the theoretical derivation and computational implementation of this methodology, and compares its predictions with those from the classic approach for a simple, two-dimensional channel flow. Linearization of the Navier-Stokes equations, interface condition terms and level set advection additional equation, and substitution of the modal instability Ansatz, leads to an eigenvalue problem (EVP). Arnoldi algorithm was applied to efficiently solve the EVP from which modal analysis was performed.
Keywords
Two-phase Flow, hydrodynamic stability, flow-pattern transition
