Accepted new paper in Int. J. Numer. Meth. Fluids

A five-equation, transient, hyperbolic, one-dimensional model for slug capturing in pipes

Marco Ferrari, Arianna Bonzanini, Pietro Poesio: A five-equation, transient, hyperbolic, one-dimensional model for slug capturing in pipes. In: International Journal for Numerical Methods in Fluids, 2017.

Abstract

A novel numerical scheme for slug capturing in pipes using a 1D transient hyperbolic five-equation two-fluid model is presented. Previous work has shown that one-dimensional two-fluid models are able to capture slug flow automatically. In this work a similar approach is further developed using a new numerical scheme, applied to a hyperbolic five-equation two-fluid model. Starting from a finite volume discretisation of a five equations two-fluid hyperbolic model and adding appropriate closure relations, a second-order code is implemented and applied to air-water flows in horizontal pipes, simulating the two-phase to one-phase flow process. The code is evaluated in some common standard test cases. A slug capturing application is also discussed.We show, in an air/water horizontal pipe, slug initiation, growth and development. Moreover, a grid refinement analysis is performed showing that the method is grid independent and we show the code capability to take into account eventual surface tension effects, through the instantaneous pressure relaxation process. Finally, a prediction of flow regime transitions is shown and compared to a well-known theoretical flow pattern map in addition to a preliminary comparison of computed slug characteristics against well-known empirical correlations.

BibTex

BibTeX (Download)

@article{Ferrari_Bonzanini_2017,
title = {A five-equation, transient, hyperbolic, one-dimensional model for slug capturing in pipes},
author = {Marco Ferrari and Arianna Bonzanini and Pietro Poesio},
doi = {10.1002/fld.4387},
year  = {2017},
date = {2017-06-01},
journal = {International Journal for Numerical Methods in Fluids},
abstract = {A novel numerical scheme for slug capturing in pipes using a 1D transient hyperbolic five-equation two-fluid model is presented. Previous work has shown that one-dimensional two-fluid models are able to capture slug flow automatically. In this work a similar approach is further developed using a new numerical scheme, applied to a hyperbolic five-equation two-fluid model. Starting from a finite volume discretisation of a five equations two-fluid hyperbolic model and adding appropriate closure relations, a second-order code is implemented and applied to air-water flows in horizontal pipes, simulating the two-phase to one-phase flow process. The code is evaluated in some common standard test cases. A slug capturing application is also discussed.We show, in an air/water horizontal pipe, slug initiation, growth and development. Moreover, a grid refinement analysis is performed showing that the method is grid independent and we show the code capability to take into account eventual surface tension effects, through the instantaneous pressure relaxation process. Finally, a prediction of flow regime transitions is shown and compared to a well-known theoretical flow pattern map in addition to a preliminary comparison of computed slug characteristics against well-known empirical correlations.},
keywords = {Finite volume, Hyperbolic, Partial differential equations, slug capturing, Two-fluid model, Two-phase flow},
pubstate = {published},
tppubtype = {article}
}