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Applied Thermal Engineering
journal homepage: www.elsevier.com/locate/apthermeng
Research Paper
Numerical study of the drift and evaporation of water droplets cooled down
by a forced stream of air
Oskar Javier González Pedraza, J. Jesús Pacheco Ibarra, Carlos Rubio-Maya
⁎
,
Sergio Ricardo Galván González, Jorge Alberto Rangel Arista
Faculty of Mechanical Engineering, Edif. W, Central Campus, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán C.P. 58030, Mexico
HIGHLIGHTS
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A numerical simulation of water droplets falling in a forced air stream was performed.
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Suitable size of water droplets for reducing drift and evaporation was estimated.
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Mass evaporated was between 0.2 and 1.2% of the total droplet mass.
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Droplet diameters between 4 and 10 mm are suitable for reducing water losses.
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Diameter higher than 3 mm and air velocities lower than 5 m/s avoid drifting.
ARTICLE INFO
Keywords:
Numerical simulation
Water losses
Water droplets
Evaporation
Drift
ABSTRACT
Evaporation is the basic heat transfer mechanism to reduce temperature of water in a cooling tower. Drift is a
phenomenon in which water particles are carried by the leaving air stream causing water losses. In both pro-
cesses the droplet size plays an important role for an effective cooling and minimum losses. A numerical si-
mulation of water droplets falling in a forced air stream was performed by means of an Eulerian-Lagrangian
reference framework. The aim of this work is to investigate water droplet size, inlet air temperature and inlet air
velocities that reduce water losses. Particularly, the study is focused on the assessment of water losses caused by
evaporation, as well as to determine the suitable size of water droplets for reducing water losses caused by drift.
The mathematical model includes improvements to represent in a more realistic manner the heat and mass
transfer mechanisms. One of these improvements is related to the convective heat transfer coefficient that for
this study varies according to the temperature as well as to the instantaneous velocities of the continuous and
dispersed phases. The results shows that the amount of mass evaporated for particles of 1 mm in diameter was
around 1.2% of the total droplet’s mass. On the contrary, for particles of 8 mm that percentage was around 1%
for the same residence time. Results also indicate that the minimum diameter of water droplets should be higher
than 3 mm and air velocities lower than 5 m/s, in order to avoid drifting.
1. Introduction
Cooling towers are devices widely utilized in industry to dissipate
heat from different heat rejection components and processes to the
ambient air. Since the basic heat transfer mechanism to reduce water’s
temperature is the process of evaporation, significant amounts of water
are demanded. Losses of water are essentially found in three ways:
evaporation, drift and blowdown, being evaporation and drift the most
significant. In a cooling tower the energy performance and amount of
water losses depend on the correct design and proper management of
recirculated water. Therefore, both aspects require a comprehensive
understanding of the heat and mass transfer mechanisms occurring
between air and water, which in turns allow improvements for reduc-
tion of water consumption and for achieving better thermal perfor-
mance.
Merkel [1] introduced the first mathematical theory about cooling
towers that describes the heat and mass transfer phenomena between
water droplets and air flowing inside the cooling tower. Although this
theory is the most employed for sizing and performance estimation of
cooling towers, water losses due to evaporation are not considered.
Such a process is relevant because it causes an increase of temperature
and moisture inside the cooling tower. Since Merkeĺs model does not
https://doi.org/10.1016/j.applthermaleng.2018.07.011
Received 24 January 2018; Received in revised form 14 June 2018; Accepted 3 July 2018
⁎
Corresponding author at: Group of Energy Efficiency and Renewable Energy (GREEN-ER), Mexico.
E-mail address: rmaya@umich.mx (C. Rubio-Maya).
Applied Thermal Engineering 142 (2018) 292–302
Available online 04 July 2018
1359-4311/ © 2018 Elsevier Ltd. All rights reserved.
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