Heat transfer to oil-water flow in horizontal and inclined pipes:
Experimental investigation and ANN modeling
Milad Boostani
a
, Hajir Karimi
a, *
, Sadra Azizi
b
a
Department of Chemical Engineering, Yasouj University, Yasouj 75914-353, Iran
b
Young Researchers and Elite Club, Yasouj Branch, Islamic Azad University, Yasouj, Iran
article info
Article history:
Received 19 February 2016
Received in revised form
12 June 2016
Accepted 6 September 2016
Keywords:
Heat transfer
Oil-water flow
Flow pattern
Inclined pipe
Artificial neural network
abstract
In this work, local heat transfer coefficients (HTC) and different flow patterns of oil-water two-phase flow
in a horizontal and slightly upward inclined (þ4
and þ7
) pipe were investigated. The test section was
an 11 mm inner diameter (ID) copper pipe with a length to diameter ratio of 164. Water and diesel fuel
(2.49 mPa s viscosity and 798 kg/m
3
density) were selected as immiscible liquids and high speed
photography technique was used for the flow pattern identification. The superficial Reynolds numbers
ranged from 1350 to 13,700 for water and 300e3700 for oil. The experimental results indicated that the
oil-water heat transfer is dependent on the inclination angle and flow pattern. As the pipe inclination
angle increases averaged HTC values for each flow pattern increases. It was found that the effect of the
flow pattern on the oil-water HTCs is higher than the pipe inclination. In addition, an artificial neural
network (ANN) model was developed for predicting the HTC of oil-water two-phase flow in the studied
different inclination angles of pipe. Superficial oil Reynolds number (Re
so
), superficial water Reynolds
number (Re
sw
), inclination angles (IA) and some numbers appropriated for each flow pattern (FPN) were
selected as input variables, whereas two-phase HTC (h
TP
) values were selected as output variables. The
ANN was trained, validated and tested against the experimental data. The obtained optimal ANN model
had good prediction for all of the positions and all flow patterns. Mean absolute percent error (MAPE) of
1.98% and correlation coefficient (R) of 0.993 for testing data set and MAPE of 1.81% and R value of 0.995
for all data sets were achieved.
© 2016 Elsevier Masson SAS. All rights reserved.
1. Introduction
The oil-water two-phase flow in pipes is commonly observed in
many industries, such as petrochemical processes, extraction pro-
cesses, tubular reactors, heat exchangers and crude oil production
and transportation through both horizontal and inclined pipes.
Estimating heat transfer rate is demanding in all of the above
processes for economical design and optimized operation. It is of
great interest to know how the two-phase heat transfer rate varies
with flow rates, flow pattern and pipe inclination. Therefore, it is
very important to test the various factors affecting the oil-water
flows and develop new models to gives accurate prediction.
Most of the reported two-phase heat transfer studies concern
gas-liquid heat transfer. For instance, the influences of flow pattern,
velocity of each phase and pipe inclination on the gas-liquid heat
transfer have been studied experimentally by several researchers
[1e6]. The characteristics of oil-water flow are generally different
from gas-liquid flow, because of lower density difference between
the two phases, lower viscosity ratio and more complex interfacial
forces [7]. The complexity in oil-water two-phase flow makes it
harder to predict the heat transfer rate.
Limited studies on heat transfer to oil-water flow in pipes have
been performed compared with the gas-liquid heat transfer. Some
methods for calculating the heat transfer of oil-water flow in hor-
izontal pipes have been published, such as developing the empirical
correlations [8,9] and theoretical models [10e12]. However, there is
no model applicable for predicting the heat transfer coefficient for a
variety of flow patterns and pipe inclination angles. In addition,
some of these methods cannot be employed in situations when
high accuracy is required.
The understanding of the oil-water flow behaviour is very
important in field development and in oil production. The tem-
perature difference between the hydrocarbon fluids and the
seawater results in wax deposition blockage [6]. In addition, owing
* Corresponding author.
E-mail address: hakar@yu.ac.ir (H. Karimi).
Contents lists available at ScienceDirect
International Journal of Thermal Sciences
journal homepage: www.elsevier.com/locate/ijts
http://dx.doi.org/10.1016/j.ijthermalsci.2016.09.005
1290-0729/© 2016 Elsevier Masson SAS. All rights reserved.
International Journal of Thermal Sciences 111 (2017) 340e350