Advances in Chemical Engineering and Science, 2013, 3, 6-14
http://dx.doi.org/10.4236/aces.2013.34A1002 Published Online October 2013 (http://www.scirp.org/journal/aces)
Theoretical Evaluation of Two-Phase Flow in a Horizontal
Duct with Leaks
Morgana de Vasconcellos Araújo
1
, Severino Rodrigues de Farias Neto
1
,
Antonio Gilson Barbosa de Lima
2
1
Department of Chemical Engineering, Center of Science and Technology, Federal University of Campina Grande (UFCG),
Campina Grande, Brazil
2
Department of Mechanical Engineering, Center of Science and Technology, Federal University of Campina Grande (UFCG),
Campina Grande, Brazil
Email: morganamva@gmail.com, fariasn@deq.ufcg.edu.br, gilson@dem.ufcg.edu.br
Received July 23, 2013; revised August 23, 2013; accepted September 4, 2013
Copyright © 2013 Morgana de Vasconcellos Araújo et al. This is an open access article distributed under the Creative Commons
Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is
properly cited.
ABSTRACT
The transport of oil and its derivates are done, mostly, by pipeline. The time to detect leaks has to be short for pre-
venting big disasters in the nature and decreasing losses for industries. The techniques available for leak detection vary
from visual inspection to the use of computational techniques such as mathematical modeling. This paper aims to study
the fluid dynamics of two-phase flow (water-oil) in the pipe with leakage. The equations of the mass and momentum
conservation are numerically solved by using the ANSYS
®
CFX commercial code with the aid of a structured mesh of a
horizontal pipe with three holes of leaks. The Eulerian-Eulerian model was adopted considering the oil as continuous
phase and water as dispersed phase, and constant fluid properties. With profiles of pressure and volume fraction along
the time in the pipe, the influence of leakage on the single-phase (oil) and two-phase (water-oil) was evaluated.
Keywords: Two-Phase Flow; Numerical Simulation; Leakage; Pipeline
1. Introduction
The transportation of oil and its derivatives are mostly
conducted through pipelines that connect production fa-
cilities, refineries and, in some situations, the consumer
centers.
The materials used for making pipes come through
technological improvements, where there is a signifi-
cant use of materials based on special steel, lighter and
stronger. However, despite these advances, there are still
problems with leaks in pipelines generating great interest
from the oil industry in view of the high costs incurred
by financial services, potential risks and environmental
costs.
Environmental disasters related to the oil spill in addi-
tion to degrading the environment, are responsible for
spending millions of dollars in remediation.
In oil activities, particularly in transportation by pipe-
lines, accidents have happened, causing financial and
environmental losses.
There are currently a variety of techniques available for
the detection of leaks, ranging from simple physical in-
spection by acoustic methods. Zhang [1] classified the
detection methods into three categories: observation
(perhaps the simplest and most ancient, is conducted
through a visual inspection noting any ponding on the
soil surface or anomalous growth of vegetation), direct
detection (devices are used for the detection and location
of leakage) and indirect detection (software is used based
on mathematical models which allow to perform detec-
tion by means of data flow like pressure, temperature,
mass flow rate, etc.).
The faster the identification of a leak in a pipeline, the
faster valves are closed and the pumps will stop and,
consequently, the greater the chances of avoiding a ca-
tastrophe are. However, in order to do the detection and
precise identification of the position of a leak, it is nec-
essary to know the behavior(s) of fluid(s) within the duct
which allows determination of pressure drop between
two points being evaluated.
According to Buiatti [2] the kind of leaks appearing in
pipe networks can be divided into two classes:
1) Leak by “breaking” the tube—Occurs less fre-
quently, but it is dangerous due to the amount of product
spilled in the vicinity of the leak. However, these disrup-
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