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Atmósfera 30(1), 53-61 (2017)
doi: 10.20937/ATM.2017.30.01.05
© 2017 Universidad Nacional Autónoma de México, Centro de Ciencias de la Atmósfera.
This is an open access article under the CC BY-NC-ND License (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Annual atmospheric corrosion rate and dose-response function for carbon
steel in Bogotá
John Fredy RÍOS-ROJAS,a*
David APERADOR-RODRÍGUEZ,b
Edwin Arbey HERNÁNDEZ-GARCÍAc
and Carlos Enrique ARROYAVEa
a
	Grupo de Investigación Research on Energy and Materials, Facultad de Ingeniería Mecánica, Universidad Antonio
Nariño, Bogotá, Colombia
b
	Grupo de Investigación en Recursos, Ecología, Desarrollo Sostenible e Ingeniería Ambiental, Facultad de Ingeniería
Ambiental, Universidad Antonio Nariño, Bogotá, Colombia
c
	Grupo de Investigación REGIONALIZAR, Facultad de Economía y Comercio Internacional, Universidad Antonio
Nariño, Bogotá, Colombia
*
	Corresponding author; johnri@uan.edu.co
Received: June 19, 2016; accepted: December 5 2016
RESUMEN
Este trabajo presenta una evaluación del comportamiento del acero al carbono expuesto a la atmósfera de
Bogotá. Los principales parámetros climáticos y ambientales medidos fueron humedad relativa (HR), tempe-
ratura (T), deposición de dióxido de azufre (DSO2) y deposición de material particulado (DPM). En adición, la
pérdida de masa de platinas de aceroAISI/SAE 1006 se midió en ocho sitios de ensayo de corrosión atmosfé-
rica ubicados a través de la ciudad durante un año de exposición. Los resultados del estudio muestran que la
velocidad de corrosión del acero al carbono es menor a 35 μm/año luego del primer año de estudio. Además
se encontró que el occidente de la ciudad presenta la mayor agresividad, ya que ahí los niveles de material
particulado y dióxido de azufre son más altos, relacionados con las características de la distribución de las
actividades antrópicas en toda la ciudad. Una función dosis-respuesta de la corrosión del acero al carbono
fue obtenida en función de HR, T y SO2.
ABSTRACT
This paper presents an assessment on the behavior of plain carbon steel exposure to the atmosphere of Bogotá.
The main climate and environmental parameters, including relative humidity (RH), temperature (T), sulphur
dioxide deposition (DSO2) and particulate matter deposition (DPM) were measured. Furthermore, mass loss of
AISI/SAE 1006 plain carbon steel coupons was measured along one year. In this case, coupons were exposed
in eight test sites located across the city of Bogotá. Results show that the corrosion rate of carbon steel is
less than 35 μm yr–1
after one year. It was found that the west part of the city has the greatest aggressivity,
which has the highest levels of DPM and DSO2,related with the characteristics of the anthropogenic activities
distribution across the city. A dose-response function of plain carbon steel exposure to the atmosphere of
Bogotá, based on RH, T and DSO2, was obtained.
Keywords: Materials deterioration, particulate matter, pollutants, SO2.
54 J.F. Ríos-Rojas et al.
1.	 Introduction
Atmospheric corrosion is the deterioration of a ma-
terial due to electrochemical reactions of its surface
with the constituents of the surrounding atmosphere.
Climatic factors such as temperature, relative humidity
(RH), precipitation and air pollution, determine the
atmospheric corrosion of metallic elements exposed
to such conditions (Oesch, 1996). Air pollutants, to-
gether with moisture, are key elements of atmospheric
corrosion; in consequence, corrosivity depends largely
on the thickness of the humidity layer and the degree
of pollutant deposition rates on the material surface.
When a material is exposed to the atmosphere, the
metal surface will be covered with a thin layer of
water resulting from atmospheric moisture.This layer
dissolvescontaminantsandallowsforthedepositionof
corrosivespeciesonthesurface.Studiesonatmospher-
ic corrosion performed in many cities have concluded
that the nature of atmospheric pollutants and their level
of concentration play an important role on the service
life of different engineering materials (Kucera, 2003;
de la Fuente et al., 2013)
The atmospheric corrosion of steel increases
mainly by the time of wetness, which depends on
meteorological factors such as temperature and RH,
and some pollutants, which tend to significantly
accelerate the attack. In particular, the presence
of sulphur dioxide (SO2) in urban and industrial
atmospheres, and chlorides in areas influenced
by the sea (Mendoza and Corvo, 1999) have been
highlighted. However, in the last decades decreasing
SO2 concentrations have resulted in a new pollution
condition. In tropical climates, the influence of high
temperatures combined with high precipitation and
humidity are observed, because the moisture over
time is very high (Mikhailov et al., 2007; Corvo et
al., 2008).
Some approaches have been used to estimate the
behavior of a material in a given atmosphere, such
as direct measurement of atmospheric corrosion
through the detailed follow up of simple behaviors of
materials of interest, and application of dose-response
functions or damage functions. These have been as-
sociated with the degree of deterioration of similar
materials in equivalent microclimates (Tidblad et al.,
2001) through the application of a function to predict
annual damage caused by atmospheric corrosion.
Damage functions or dose-response equations for
carbon steel corrosion determined in several studies
are shown in Table I.
Table I. Dose-response functions for the atmospheric corrosion of plain carbon steel regarding climatic conditions.
Function Sources
rcorr = 1.77D0.52
SO2
e[0.020RH+fcs(T)]
+ 0.102DCl
0.62
e[0.033RH+0.040T]
rcorr = 1.58[SO2]0.52
e [0.020RH+fcs(T)]
+ 0.102DCl
0.62
e [0.033Rh+0.040T]
where:	fcs(T) = 0.15(T–10) when T < 10 °C,
	 fcs(T) = –0.054(T–10), otherwise
Mikhailov et al., 2004;
Tidblad, 2012
k = 2.72[SO2]0.28
e[0.0171RH+fs(T)]
τ0.575
k = 6.05 [SO2]0.25
e[0.017RH+0.014T–0.000138Rad]
τ0.59
for T > 10 ºC
k = 4.28 [SO2]0.28
e[0.022RH+0.021T–0.000207Rad]
τ0.58
+ 0.121DCl
0.71
e(0.018RH+0.059T)
τ0.62
for T > 10 ºC
where:	fs(T) = –0.0467(T-18) when 10 ºC < T < 18 ºC,
	 fs(T) = 0.0421(T-18) when T > 18 ºC
Mikhailov et al., 2007
ML = 29.1 + {21.7 + 1.39[SO2]0.6
RH60efcs(T) + 1.29Rain[H+
] + 0.593PM10} τ0.6
where:	fcs(T) = 0.15(T–10) when T < 10 ºC,
	 fcs(T) = –0.054(T–10) otherwise
Tidblad et al., 2005
rcorr: corrosion rate in µm yr–1
; k: corrosion rate expressed in terms of a decrease of the metal thickness in µm;
ML: mass loss in g m–2
; T: mean temperature in ºC; RH: relative humidity in %; [SO2]: gaseous SO2 concentration
in µg m–3
, DSO2: SO2 deposition rate in mg m–2
day–1
; DCl: Cl–
deposition rate in mg m–2
day–1
; Rad: total solar
radiation in MJ m–2
year–1
; rain: amount of precipitation in mm; [H+
]: H+
concentration of precipitation in mg L–1
;
PM10: concentration in µg m–3
of particulate matter up to 10 µm in size, and τ: time in years.
55Atmospheric corrosion in Bogotá: Dose-response function
Among some of the most significant results, it is
worthmentioningtheestablishmentofadose-response
function for the corrosion of plain carbon steel due to
the impact of a significant number of environmental
parameters.
1.1 Dose-response function considerations
The statistical methods used in obtaining dose-re-
sponse functions for various metals use multivariate
models, which are based on techniques for estimating
functions with cross-sectional analyses or time series
analyses. Nevertheless, a procedure for using both
transversal and time series data is the longitudinal
data,whoseadvantages(GujaratiandPorter,2009)are:
1.	 The model has explicitly taken into account the
heterogeneity caused by the atmosphere at each
site, allowing the existence of specific variables
per station.
2.	 The model provides more data, more variability,
less colinearity among variables, more degrees of
freedom and more efficiency.
3.	 This model is more suitable for studying the dy-
namics of change, when cross-sectional data per
station are repeated.
4.	 The model allows detecting and measuring effects
which cannot be observed in cross-sectional data
or time series. For example, the effect of pollution
and atmospheric parameters on corrosion can be
better studied because the model includes the
variations of other variables.
5.	 Allows identifying factors other than atmospheric
parameters of a region in a single equation.
Longitudinal data can be estimated using meth-
ods such as the pooled ordinary least squares (OLS)
model, the fixed effects least squares dummy variable
(LSDV) model, the fixed effects within-group or the
random effects model.
The effect of atmospheric variables and pollutants
on the corrosion rate is analyzed by the dose-response
function represented by Eq. (1):
rcorr,it = f (RHit, Tit, DSO2it
, DPMit, τ)	(1)
where DPM is the particulate matter (PM) deposition
in mg m–2
day–1
and τ is the exposure time (months);
i corresponds to the i-th corrosion station and t is the
time period in which data were collected.
According to the dose-response functions re-
ported by Mikhailov (2001) and Mikhailov et al.
(2004, 2007) and using the methodology of longi-
tudinal data, functions for any city are represented
by Eq. (2):
rcorr,it = β1DSO2it
+ β2DPMit
+ β3RHit
+ β4Titt
+ β5τit + α1 +∑i=2
n+1
α1Di + µit
	(2)
where Di is a dummy variable or a dichotomous vari-
able which is used to take into account the specified
characteristics of each station, and n is the number
of corrosion stations. Eq. (2) shows ML as a linear
function of an asset of explanatory variables. On the
other hand, dichotomous variables are introduced
in this equation in order to use longitudinal data
(Eq. 3).
rcorr,it = β0[DSO2it
β1][DPMit
β2]exp(β3RHit + β4Tit)
[τit
β5] + µit
	(3)
Eqs. (2) and (3) represent deviations of the cor-
rosion rate between the experimental and estimated
values from the dose-response function.
Eq. (3) assumes that the variables included in the
model affect similarly carbon steel throughout the
city. This equation is in accordance with the studies
of Mikhailov, but also assumes that there is a statis-
tically homogeneous behavior in the different sites of
the region. For the above two equations, parameters
β1, β2, β3, β4 and β5 measure the variables effects on
the corrosion rate.
The main difference between these two equations
is that Eq. (2) assumes a linear relationship, while Eq.
(3) assumes an exponential relationship.
1.2 Site
Colombia is an equatorial country with the Andes
mountain range crossing the west side from south to
north and with a wide geographic diversity, including
savannas, mountains from the sea level to perpetual
snow peaks, desserts and forests.
Bogotá city, the capital of Colombia and one of
the most air-polluted cities in the region, is located
in the center of the country in an intertropical zone
2600 masl (Franco et al., 2015). It shows concentra-
tions of pollutants such as sulfur oxides (SOx), PM,
nitrogen oxides (NOx), and others, distributed within
urban and periurban areas according to socio-eco-
nomic activities. These variables along with the
56 J.F. Ríos-Rojas et al.
climatic features of the city converge in degradation
processes of materials exposed to the atmosphere.
A former research reported that atmospheric
corrosion of carbon steel in Bogotá was less than
50 μmyr–1
(400 g m–2
yr–1
) according to meteorological
parameters and pollutant concentration data collect-
ed by the city network of environmental assessment
during several years, and there was mass loss of carbon
steel after one year of exposure (Ríos Rojas et al.,
2015). Nevertheless, a damage function of carbon steel
corrosion from measurements of standard specimens
was not found.
The aim of this study was to determine the be-
havior of plain carbon steel in Bogotá from mea-
surements in different exposure sites, searching for
an annual dose-response function for this material.
Therefore, the current study was oriented to assess
general atmospheric corrosion of plain carbon steel in
Bogotá city from the exposure of samples in specific
points of interest, locating racks according to the
ASTM G-50 standard.
2.	 Experimental procedure and materials
CommercialAISI-SAE 1006 carbon steel plates (100
× 150 × 1.6 mm) were used to evaluate corrosion
rates.The composition of steel was 0.061% C, 0.015%
Si, 0.180% Mn, 0.008% S, 0.001% P, 0.019% Cu,
0.040% Al, 0.020% Cr, 0.010% Ni. The plate surface
was initially prepared by degreasing with ethanol
and drying with an air jet. Before testing, the plates
were weighed on an analytical balance of 0.1 mg of
resolution; the initial mass was recorded and then they
were stored in a desiccator prior to exposure.The eval-
uation of carbon steel plates was then carried out by
triplicate over 12 months. Specimens were withdrawn
after 3, 6, 9 and 12 months, between February 2012
and February 2013. Likewise, the values of RH and
temperature were recorded continuously at each site
using a thermohygrometer (42270 Extech) (recording
three points per hour).
Deposition rates of SO2 and particulate matter
(PM) were determined each three months using
passive samplers, which allow quantification of cu-
mulative air pollutant deposited on. The deposition
rate of SO2 at each site was determined by the lead
dioxide technique, according to standard ASTM
D-2010 (ASTM_D2010, 2004). These candles were
exposed for three months, then removed and re-
placed with other candles. The deposition rate of PM
was determined in triplicate from petri glass dishes
located into a louvered enclosure. After exposure,
the disk was washed and the amount of deposited
material was evaluated, which allows calculating
the deposition rate of PM. Both candles and discs
were installed in a rectangular louvered enclosure
to provide maximum protection from rain.
2.1 Exposure sites
Carbon steel plates were exposed in eight different
sites across Bogotá as it is shown in Figure 1. The
exposure angle was 45º from the horizontal and
with the upper surface facing south according to
ASTM G50 (ASTM_G50, 2003). The exposure
sites were selected based on the level of pollutants
and meteorological parameters reported by the
city network of environmental assessment, and
located according to standards for sampling total
sulfation activity and chloride deposition from the
atmosphere, as well as siting criteria for ambient air
monitoring (ASTM_G140, 2002; ASTM_D2010,
2004; EPA, 2006). These sites were distributed as
follows: one in the north (Calle 170), one in the
northwest (Suba-Corpas), one in the east (Can-
delaria), one in the west (Federman), two in the
southwest (Fontibón,Autopista-Sur), and two in the
south (Restrepo and USME). The higher density of
stations in the west and south was due to the higher
concentration of pollutants in those areas.
N
S
EW
Suba Corpas
Suba Calle 170
Federman
USME
Restrepo
Candelaria centro
Fontibon
Kennedy
Autopista Sur
Fig. 1. Location of the stations across the city.
57Atmospheric corrosion in Bogotá: Dose-response function
3.	 Results and discussion
3.1 Meteorological variables
Bogotá is located on a very high plateau, surrounded
by a mountain range that influences its precipitation
regime. Bogotá´s rainy seasons run from March
to May and from September to November. Mete-
orological data of the city of Bogotá are shown in
Figure 2.
Figure 2a, b shows the mean temperature in the
period 1998-2011 and the average temperature in
2012 (year of exposure). The average temperature
was almost constant during the last years, which is
observed in the annual temperature value in Figure 2a.
The recorded values of mean temperature ranged from
12 ºC to 15 ºC, being March,April, May, October and
November the months with highest values (Fig. 2b).
A slight increase in temperature is recorded during
the last quarter of the year. Temperature is distrib-
uted over the year in a slightly bimodal manner,
associated with the precipitation regime. In addition,
temperature inversion is normally present from
December to January due to winds of low intensity
causing frost. Throughout 2012, the maximum abso-
lute values of temperature exceeded slightly 25 ºC,
especially in the months of January, February, March,
April, October, November and December, and the
absolute minimum recorded was 3.2 ºC in January
(RMCAB, 2013).
Precipitation in Bogotá could range from 500 to
1000 mm yr–1
, being highest in the eastern part of
the city. Figure 2c shows the historical series of pre-
cipitation recorded from August 1997 up to 2012. A
significant increase in the cumulative precipitation is
observed, reaching greater values between late 2010
and early 2011, when Colombia suffered natural disas-
ters resulting from high precipitation rates. Bogotá has
less than 200 days of precipitation per year. January
and February are the driest months and October and
November the most humid (Fig. 2d). The behavior
of precipitation throughout the year corresponds to a
a)
15
1000
82
80
78
76
74
72
70
68
66
800
600
400
14
13
12
1998
Time (year)
Temperature(ºC)
b)
15
14
Average 1998-2011
Average 2012
13
Temperature(ºC)
Relativehumidity(%)
Precipitation(mm)
2000 2002 2004 2006 2008 2010 2012 1 2 3 4 5 6
Time (months)
7 8 9 10 11 12
1998
Time (year)
2000 2002 2004 2006 2008 2010 2012
1998
Time (year)
2000 2002 2004 2006 2008 2010 2012
c)
e)
d)
100
50
Average 1998-2011
Average 2012
0
Precipitation(mm)
1 2 3 4 5 6
Time (months)
7 8 9 10 11 12
f)75
70
65
Average 1998-2011
Average 2012
60
Relativehumidity(%)
1 2 3 4 5 6
Time (months)
7 8 9 10 11 12
Fig. 2. Meteorological parameters in Bogotá.Annual average values (a, c, and e), and monthly
average values for 2012 and previous years (b, d, and f).
58 J.F. Ríos-Rojas et al.
bimodal distribution, from March to May and October
to November.
The registered annual and monthly average RHs
between 2006 and 2012 are shown in Figures 2e, f,
respectively. The average RH slightly decreases
during the last years (Fig. 2e). The RH mean values
recorded range between 65 and 80%. The higher val-
ue registered in 2011 is associated with the increase
of precipitation during that year. March, April, May,
October, November and December have the highest
RH, which corresponds to the months of the year
with highest precipitation.
3.2 Pollution
The air consists of several chemical components such
as N2, O2, H2O, CO2, Ar, Ne, He, H2, and CH4, but
anthropogenic activities affect such basic composi-
tion. Burning fossil fuels and industrialization are
factors that have influenced air composition due to
the generation of pollutants such as volatile organic
compounds (VOC), NOX, SO2, CO, and PM.
Bogotá city is among the most polluted metropolis
in Latin America, after Mexico City and Santiago.
Nevertheless, Bogotá does not suffer the rigorous
consequences of this fact, due to its topographical dis-
tribution and meteorological variables that produce
pollutants dispersion. The most critical air pollutant
in the city is PM10. Studies report that mobile sources
contribute very significantly to the emissions of this
pollutant (Behrentz, 2009); also, that the chemical
composition of PM has an ion contribution where
sulfates and nitrates are the anions species making
the greatest contribution to the composition of PM10
in Bogotá. According to Figure 3a, a significant
reduction of PM in recent years contrasts with its
relevant increase from 2004 to 2007.
SO2 occurs mainly due to the use of fossil fuels
with sulfur content such as coal, diesel or gasoline
used in industries and automobiles. Industrial sources
contribute about 60% of PM emissions and 70% of
the SOx emissions into the atmosphere of Bogotá
(Rojas, 2007). According to the local environmental
authority, PM10 and SO2 concentrations decreased
during the last years due to the control of permissible
maximum levels in the industrial sector and mobile
sources (such as public transportation systems).
Figure 3a, b shows the effects of mandatory lower
sulfur concentrations in fuel. These figures confirm
the idea that the city is following the general trend
of decreasing pollution in many capitals worldwide
(Kucera, 2003).
3.3 Corrosion rate
Meteorological behavior at the test sites is shown in
Figure 4. Figure 5 shows the corresponding pollutants
deposition for the same period of time.
Temperature is homogeneous and almost constant
within the urban area (close to 15 ºC), considering
the topographic features (a plain area). The USME
station, located south of the city within the periurban
area, and at a higher elevation than the other sites, has
the lowest value of average temperature. This station
in turn shows the highest value of RH. Average RH
values are usually higher than 60% in all sites, with
80
70
60
50
Particulatematter10(µg•m–3
)
40
2000 2004
Time (year)
2008 2012
40
30
20
10
Sulfurdioxide,SO2(µg•m–3
)
0
2000 2004
Time (year)
2008 2012
Fig. 3. Annual atmospheric pollution in Bogotá. (a) Particulate
matter. (b) Sulfur dioxide.
59Atmospheric corrosion in Bogotá: Dose-response function
higher values in the stations located south and north
of the city.
The average deposition rate of SO2 is less than 10
mg m–2
day–1
, which is in accordance with the atmo-
spheric concentrations shown above. It was found
that Autopista-Sur and Fontibón stations, located in
semi-industrial areas, showed the highest values of
the SO2 deposition rate due to industrial activities and
high vehicle traffic. In accordance with the SO2 trend,
PM deposition data are homogeneous and the stations
located in the west part of the city show higher values
(mainly the Autopista-Sur station).
The corrosion rates of carbon steel in the exposure
sites are shown in Figure 6. The corrosion rate was in
very good agreement with the behavior of pollutants,
mainly with the SO2 level; however, the magnitude
of rcorr is not strictly proportional to that of the SO2
deposition. The corrosion rate was almost constant
in the test sites having low SO2 and PM depositions,
suggesting that carbon steel does not produce a pro-
tective corrosion layer in these sites. Candelaria and
USME generally show corrosion rate values below
10 µm yr–1
, closely associated to the low level of
pollutants. Nevertheless, the USME station shows a
greater value than the Candelaria station, associated
with higher RH. The corrosion rate throughout the
16
a)
15
14
13
12
0 3
Suba-Corpas Calle 170 Fontibón Federman
Candelaria Autopista Sur Restrepo Usme
6
Exposure time (months)
Temperature(ºC)
9 12
90
b)
80
70
60
50
0 3 6
Exposure time (months)
Relativehumidity(%)
9 12
Fig. 4. Meteorological features of the test sites.
8
a)
6
4
2
0
0 3
Suba-Corpas Calle 170 Fontibón Federman
Candelaria Autopista Sur Restrepo Usme
6
Exposure time (months)
SO2(mg•m–2
•day–1
)
9 12
200
b)
160
140
120
180
100
40
20
80
60
0
0 3 6
Exposure time (months)
Particulatematter(mg•m–2
•day–1
)
9 12
Fig. 5. Pollutants deposition rates at the test sites.
60 J.F. Ríos-Rojas et al.
exposure time only decreases clearly at Auto-
pista-Sur, which has the greatest pollution levels and
average RH below 70%. A similar behavior for the
corrosion rate was obtained in Restrepo, which has an
equal value of RH but less pollutant deposition rates.
It may be considered that the highest SO2 deposition
registered in this study leads to the formation of a
protective corrosion product on carbon steel surface
due to a more compact and thicker layer, which has
been reported by other researchers for low and me-
dium contents of SO2 (Morcillo et al., 1998).
3.4 Dose-response function
Preliminary analyses were often made with the use
of PM deposition data, which increased the goodness
of fit or R2
; however, being strongly correlated to the
SO2 concentration and included in the equations, PM
produced an underestimation of the true effect of SO2,
whichiswhyitwasfinallyexcludedfromthestatistical
analysis.Ontheotherhand,Eq.(3)gaveabetterestima-
tion than Eq. (2) of the corrosion rates, including both
best-fit and individual significance of the parameters.
Accordingly, the annual dose-response function
of carbon steel in Bogotá city, in agreement with the
experimental data, is shown in Eq. (4):
Fig. 6. Corrosion rate throughout the exposure time.
80
60
50
70
40
30
20
10
0
0 3
Suba-Corpas Calle 170
Fontibón Federman
Candelaria Autopista sur
Restrepo Usme
6
Exposure time (months)
Corrosionrate(µg•year–1
)
9 12
rcorr,it = 0.071[DSO2it
0.37
]exp(0.045 RH + 0.14 T)
	(4)
Eq. (4) allows for calculating the annual corro-
sion rate as a function of the main climatic variables.
The coefficient of determination or prediction
capacity value (R2
) is 0.67, indicating a proper
goodness of fit, and the model is globally significant
because the value of the statistic F(4.27) = 6.81; that
is, the corrosion rate of carbon steel is adequately
explained by the change in the explanatory variables
(RH, T, SO2).
All climatological parameters have a positive
relationship with the metal corrosion rate according
to this equation. The function proves possible nonlin-
ear effects of independent variables on atmospheric
corrosion (primarily SO2, RH and T).
4.	 Conclusions
An average atmospheric corrosivity value on plain
carbon steel could be ranged between 5 µm yr–1
and
35 µm yr–1
in Bogotá. The highest values are general-
ly associated with higher SO2 levels, associated with
regions of higher anthropogenic activity.
Environments with higher level of pollutants
(mainly SO2) and an average relative humidity
below 70% have a greater tendency to form a pro-
tective corrosion layer after one year of exposure.
This behavior is most evident in sites with medium
SO2 content.
A dose-response function of RH, T and SO2
deposition, to determine the corrosion rate of plain
carbon steel for the first year of exposure, has been
derived. The obtained annual dose-response function
provided a valid method to estimate the corrosion
rate of carbon steel during the first year of exposure
to the atmosphere of Bogotá.
Acknowledgements
The authors acknowledge Universidad Antonio
Nariño for the support given during the devel-
opment of project No. 2010257. Likewise, the
authors express their gratitude to the Secretaría
de Ambiente de Bogotá (Environment Secretar-
iat of Bogotá) for providing meteorological and
pollutants data used in this paper. The authors
also acknowledge the following institutions and
companies for allowing them to locate stations in
their facilities: Hilandería Fontibón, Almacenes
MAKRO and CIEDI School.
61Atmospheric corrosion in Bogotá: Dose-response function
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Annual atmospheric corrosion rate and dose-response function for carbon steel in Bogotá

  • 1. Atmósfera 30(1), 53-61 (2017) doi: 10.20937/ATM.2017.30.01.05 © 2017 Universidad Nacional Autónoma de México, Centro de Ciencias de la Atmósfera. This is an open access article under the CC BY-NC-ND License (http://creativecommons.org/licenses/by-nc-nd/4.0/). Annual atmospheric corrosion rate and dose-response function for carbon steel in Bogotá John Fredy RÍOS-ROJAS,a* David APERADOR-RODRÍGUEZ,b Edwin Arbey HERNÁNDEZ-GARCÍAc and Carlos Enrique ARROYAVEa a Grupo de Investigación Research on Energy and Materials, Facultad de Ingeniería Mecánica, Universidad Antonio Nariño, Bogotá, Colombia b Grupo de Investigación en Recursos, Ecología, Desarrollo Sostenible e Ingeniería Ambiental, Facultad de Ingeniería Ambiental, Universidad Antonio Nariño, Bogotá, Colombia c Grupo de Investigación REGIONALIZAR, Facultad de Economía y Comercio Internacional, Universidad Antonio Nariño, Bogotá, Colombia * Corresponding author; johnri@uan.edu.co Received: June 19, 2016; accepted: December 5 2016 RESUMEN Este trabajo presenta una evaluación del comportamiento del acero al carbono expuesto a la atmósfera de Bogotá. Los principales parámetros climáticos y ambientales medidos fueron humedad relativa (HR), tempe- ratura (T), deposición de dióxido de azufre (DSO2) y deposición de material particulado (DPM). En adición, la pérdida de masa de platinas de aceroAISI/SAE 1006 se midió en ocho sitios de ensayo de corrosión atmosfé- rica ubicados a través de la ciudad durante un año de exposición. Los resultados del estudio muestran que la velocidad de corrosión del acero al carbono es menor a 35 μm/año luego del primer año de estudio. Además se encontró que el occidente de la ciudad presenta la mayor agresividad, ya que ahí los niveles de material particulado y dióxido de azufre son más altos, relacionados con las características de la distribución de las actividades antrópicas en toda la ciudad. Una función dosis-respuesta de la corrosión del acero al carbono fue obtenida en función de HR, T y SO2. ABSTRACT This paper presents an assessment on the behavior of plain carbon steel exposure to the atmosphere of Bogotá. The main climate and environmental parameters, including relative humidity (RH), temperature (T), sulphur dioxide deposition (DSO2) and particulate matter deposition (DPM) were measured. Furthermore, mass loss of AISI/SAE 1006 plain carbon steel coupons was measured along one year. In this case, coupons were exposed in eight test sites located across the city of Bogotá. Results show that the corrosion rate of carbon steel is less than 35 μm yr–1 after one year. It was found that the west part of the city has the greatest aggressivity, which has the highest levels of DPM and DSO2,related with the characteristics of the anthropogenic activities distribution across the city. A dose-response function of plain carbon steel exposure to the atmosphere of Bogotá, based on RH, T and DSO2, was obtained. Keywords: Materials deterioration, particulate matter, pollutants, SO2.
  • 2. 54 J.F. Ríos-Rojas et al. 1. Introduction Atmospheric corrosion is the deterioration of a ma- terial due to electrochemical reactions of its surface with the constituents of the surrounding atmosphere. Climatic factors such as temperature, relative humidity (RH), precipitation and air pollution, determine the atmospheric corrosion of metallic elements exposed to such conditions (Oesch, 1996). Air pollutants, to- gether with moisture, are key elements of atmospheric corrosion; in consequence, corrosivity depends largely on the thickness of the humidity layer and the degree of pollutant deposition rates on the material surface. When a material is exposed to the atmosphere, the metal surface will be covered with a thin layer of water resulting from atmospheric moisture.This layer dissolvescontaminantsandallowsforthedepositionof corrosivespeciesonthesurface.Studiesonatmospher- ic corrosion performed in many cities have concluded that the nature of atmospheric pollutants and their level of concentration play an important role on the service life of different engineering materials (Kucera, 2003; de la Fuente et al., 2013) The atmospheric corrosion of steel increases mainly by the time of wetness, which depends on meteorological factors such as temperature and RH, and some pollutants, which tend to significantly accelerate the attack. In particular, the presence of sulphur dioxide (SO2) in urban and industrial atmospheres, and chlorides in areas influenced by the sea (Mendoza and Corvo, 1999) have been highlighted. However, in the last decades decreasing SO2 concentrations have resulted in a new pollution condition. In tropical climates, the influence of high temperatures combined with high precipitation and humidity are observed, because the moisture over time is very high (Mikhailov et al., 2007; Corvo et al., 2008). Some approaches have been used to estimate the behavior of a material in a given atmosphere, such as direct measurement of atmospheric corrosion through the detailed follow up of simple behaviors of materials of interest, and application of dose-response functions or damage functions. These have been as- sociated with the degree of deterioration of similar materials in equivalent microclimates (Tidblad et al., 2001) through the application of a function to predict annual damage caused by atmospheric corrosion. Damage functions or dose-response equations for carbon steel corrosion determined in several studies are shown in Table I. Table I. Dose-response functions for the atmospheric corrosion of plain carbon steel regarding climatic conditions. Function Sources rcorr = 1.77D0.52 SO2 e[0.020RH+fcs(T)] + 0.102DCl 0.62 e[0.033RH+0.040T] rcorr = 1.58[SO2]0.52 e [0.020RH+fcs(T)] + 0.102DCl 0.62 e [0.033Rh+0.040T] where: fcs(T) = 0.15(T–10) when T < 10 °C, fcs(T) = –0.054(T–10), otherwise Mikhailov et al., 2004; Tidblad, 2012 k = 2.72[SO2]0.28 e[0.0171RH+fs(T)] τ0.575 k = 6.05 [SO2]0.25 e[0.017RH+0.014T–0.000138Rad] τ0.59 for T > 10 ºC k = 4.28 [SO2]0.28 e[0.022RH+0.021T–0.000207Rad] τ0.58 + 0.121DCl 0.71 e(0.018RH+0.059T) τ0.62 for T > 10 ºC where: fs(T) = –0.0467(T-18) when 10 ºC < T < 18 ºC, fs(T) = 0.0421(T-18) when T > 18 ºC Mikhailov et al., 2007 ML = 29.1 + {21.7 + 1.39[SO2]0.6 RH60efcs(T) + 1.29Rain[H+ ] + 0.593PM10} τ0.6 where: fcs(T) = 0.15(T–10) when T < 10 ºC, fcs(T) = –0.054(T–10) otherwise Tidblad et al., 2005 rcorr: corrosion rate in µm yr–1 ; k: corrosion rate expressed in terms of a decrease of the metal thickness in µm; ML: mass loss in g m–2 ; T: mean temperature in ºC; RH: relative humidity in %; [SO2]: gaseous SO2 concentration in µg m–3 , DSO2: SO2 deposition rate in mg m–2 day–1 ; DCl: Cl– deposition rate in mg m–2 day–1 ; Rad: total solar radiation in MJ m–2 year–1 ; rain: amount of precipitation in mm; [H+ ]: H+ concentration of precipitation in mg L–1 ; PM10: concentration in µg m–3 of particulate matter up to 10 µm in size, and τ: time in years.
  • 3. 55Atmospheric corrosion in Bogotá: Dose-response function Among some of the most significant results, it is worthmentioningtheestablishmentofadose-response function for the corrosion of plain carbon steel due to the impact of a significant number of environmental parameters. 1.1 Dose-response function considerations The statistical methods used in obtaining dose-re- sponse functions for various metals use multivariate models, which are based on techniques for estimating functions with cross-sectional analyses or time series analyses. Nevertheless, a procedure for using both transversal and time series data is the longitudinal data,whoseadvantages(GujaratiandPorter,2009)are: 1. The model has explicitly taken into account the heterogeneity caused by the atmosphere at each site, allowing the existence of specific variables per station. 2. The model provides more data, more variability, less colinearity among variables, more degrees of freedom and more efficiency. 3. This model is more suitable for studying the dy- namics of change, when cross-sectional data per station are repeated. 4. The model allows detecting and measuring effects which cannot be observed in cross-sectional data or time series. For example, the effect of pollution and atmospheric parameters on corrosion can be better studied because the model includes the variations of other variables. 5. Allows identifying factors other than atmospheric parameters of a region in a single equation. Longitudinal data can be estimated using meth- ods such as the pooled ordinary least squares (OLS) model, the fixed effects least squares dummy variable (LSDV) model, the fixed effects within-group or the random effects model. The effect of atmospheric variables and pollutants on the corrosion rate is analyzed by the dose-response function represented by Eq. (1): rcorr,it = f (RHit, Tit, DSO2it , DPMit, τ) (1) where DPM is the particulate matter (PM) deposition in mg m–2 day–1 and τ is the exposure time (months); i corresponds to the i-th corrosion station and t is the time period in which data were collected. According to the dose-response functions re- ported by Mikhailov (2001) and Mikhailov et al. (2004, 2007) and using the methodology of longi- tudinal data, functions for any city are represented by Eq. (2): rcorr,it = β1DSO2it + β2DPMit + β3RHit + β4Titt + β5τit + α1 +∑i=2 n+1 α1Di + µit (2) where Di is a dummy variable or a dichotomous vari- able which is used to take into account the specified characteristics of each station, and n is the number of corrosion stations. Eq. (2) shows ML as a linear function of an asset of explanatory variables. On the other hand, dichotomous variables are introduced in this equation in order to use longitudinal data (Eq. 3). rcorr,it = β0[DSO2it β1][DPMit β2]exp(β3RHit + β4Tit) [τit β5] + µit (3) Eqs. (2) and (3) represent deviations of the cor- rosion rate between the experimental and estimated values from the dose-response function. Eq. (3) assumes that the variables included in the model affect similarly carbon steel throughout the city. This equation is in accordance with the studies of Mikhailov, but also assumes that there is a statis- tically homogeneous behavior in the different sites of the region. For the above two equations, parameters β1, β2, β3, β4 and β5 measure the variables effects on the corrosion rate. The main difference between these two equations is that Eq. (2) assumes a linear relationship, while Eq. (3) assumes an exponential relationship. 1.2 Site Colombia is an equatorial country with the Andes mountain range crossing the west side from south to north and with a wide geographic diversity, including savannas, mountains from the sea level to perpetual snow peaks, desserts and forests. Bogotá city, the capital of Colombia and one of the most air-polluted cities in the region, is located in the center of the country in an intertropical zone 2600 masl (Franco et al., 2015). It shows concentra- tions of pollutants such as sulfur oxides (SOx), PM, nitrogen oxides (NOx), and others, distributed within urban and periurban areas according to socio-eco- nomic activities. These variables along with the
  • 4. 56 J.F. Ríos-Rojas et al. climatic features of the city converge in degradation processes of materials exposed to the atmosphere. A former research reported that atmospheric corrosion of carbon steel in Bogotá was less than 50 μmyr–1 (400 g m–2 yr–1 ) according to meteorological parameters and pollutant concentration data collect- ed by the city network of environmental assessment during several years, and there was mass loss of carbon steel after one year of exposure (Ríos Rojas et al., 2015). Nevertheless, a damage function of carbon steel corrosion from measurements of standard specimens was not found. The aim of this study was to determine the be- havior of plain carbon steel in Bogotá from mea- surements in different exposure sites, searching for an annual dose-response function for this material. Therefore, the current study was oriented to assess general atmospheric corrosion of plain carbon steel in Bogotá city from the exposure of samples in specific points of interest, locating racks according to the ASTM G-50 standard. 2. Experimental procedure and materials CommercialAISI-SAE 1006 carbon steel plates (100 × 150 × 1.6 mm) were used to evaluate corrosion rates.The composition of steel was 0.061% C, 0.015% Si, 0.180% Mn, 0.008% S, 0.001% P, 0.019% Cu, 0.040% Al, 0.020% Cr, 0.010% Ni. The plate surface was initially prepared by degreasing with ethanol and drying with an air jet. Before testing, the plates were weighed on an analytical balance of 0.1 mg of resolution; the initial mass was recorded and then they were stored in a desiccator prior to exposure.The eval- uation of carbon steel plates was then carried out by triplicate over 12 months. Specimens were withdrawn after 3, 6, 9 and 12 months, between February 2012 and February 2013. Likewise, the values of RH and temperature were recorded continuously at each site using a thermohygrometer (42270 Extech) (recording three points per hour). Deposition rates of SO2 and particulate matter (PM) were determined each three months using passive samplers, which allow quantification of cu- mulative air pollutant deposited on. The deposition rate of SO2 at each site was determined by the lead dioxide technique, according to standard ASTM D-2010 (ASTM_D2010, 2004). These candles were exposed for three months, then removed and re- placed with other candles. The deposition rate of PM was determined in triplicate from petri glass dishes located into a louvered enclosure. After exposure, the disk was washed and the amount of deposited material was evaluated, which allows calculating the deposition rate of PM. Both candles and discs were installed in a rectangular louvered enclosure to provide maximum protection from rain. 2.1 Exposure sites Carbon steel plates were exposed in eight different sites across Bogotá as it is shown in Figure 1. The exposure angle was 45º from the horizontal and with the upper surface facing south according to ASTM G50 (ASTM_G50, 2003). The exposure sites were selected based on the level of pollutants and meteorological parameters reported by the city network of environmental assessment, and located according to standards for sampling total sulfation activity and chloride deposition from the atmosphere, as well as siting criteria for ambient air monitoring (ASTM_G140, 2002; ASTM_D2010, 2004; EPA, 2006). These sites were distributed as follows: one in the north (Calle 170), one in the northwest (Suba-Corpas), one in the east (Can- delaria), one in the west (Federman), two in the southwest (Fontibón,Autopista-Sur), and two in the south (Restrepo and USME). The higher density of stations in the west and south was due to the higher concentration of pollutants in those areas. N S EW Suba Corpas Suba Calle 170 Federman USME Restrepo Candelaria centro Fontibon Kennedy Autopista Sur Fig. 1. Location of the stations across the city.
  • 5. 57Atmospheric corrosion in Bogotá: Dose-response function 3. Results and discussion 3.1 Meteorological variables Bogotá is located on a very high plateau, surrounded by a mountain range that influences its precipitation regime. Bogotá´s rainy seasons run from March to May and from September to November. Mete- orological data of the city of Bogotá are shown in Figure 2. Figure 2a, b shows the mean temperature in the period 1998-2011 and the average temperature in 2012 (year of exposure). The average temperature was almost constant during the last years, which is observed in the annual temperature value in Figure 2a. The recorded values of mean temperature ranged from 12 ºC to 15 ºC, being March,April, May, October and November the months with highest values (Fig. 2b). A slight increase in temperature is recorded during the last quarter of the year. Temperature is distrib- uted over the year in a slightly bimodal manner, associated with the precipitation regime. In addition, temperature inversion is normally present from December to January due to winds of low intensity causing frost. Throughout 2012, the maximum abso- lute values of temperature exceeded slightly 25 ºC, especially in the months of January, February, March, April, October, November and December, and the absolute minimum recorded was 3.2 ºC in January (RMCAB, 2013). Precipitation in Bogotá could range from 500 to 1000 mm yr–1 , being highest in the eastern part of the city. Figure 2c shows the historical series of pre- cipitation recorded from August 1997 up to 2012. A significant increase in the cumulative precipitation is observed, reaching greater values between late 2010 and early 2011, when Colombia suffered natural disas- ters resulting from high precipitation rates. Bogotá has less than 200 days of precipitation per year. January and February are the driest months and October and November the most humid (Fig. 2d). The behavior of precipitation throughout the year corresponds to a a) 15 1000 82 80 78 76 74 72 70 68 66 800 600 400 14 13 12 1998 Time (year) Temperature(ºC) b) 15 14 Average 1998-2011 Average 2012 13 Temperature(ºC) Relativehumidity(%) Precipitation(mm) 2000 2002 2004 2006 2008 2010 2012 1 2 3 4 5 6 Time (months) 7 8 9 10 11 12 1998 Time (year) 2000 2002 2004 2006 2008 2010 2012 1998 Time (year) 2000 2002 2004 2006 2008 2010 2012 c) e) d) 100 50 Average 1998-2011 Average 2012 0 Precipitation(mm) 1 2 3 4 5 6 Time (months) 7 8 9 10 11 12 f)75 70 65 Average 1998-2011 Average 2012 60 Relativehumidity(%) 1 2 3 4 5 6 Time (months) 7 8 9 10 11 12 Fig. 2. Meteorological parameters in Bogotá.Annual average values (a, c, and e), and monthly average values for 2012 and previous years (b, d, and f).
  • 6. 58 J.F. Ríos-Rojas et al. bimodal distribution, from March to May and October to November. The registered annual and monthly average RHs between 2006 and 2012 are shown in Figures 2e, f, respectively. The average RH slightly decreases during the last years (Fig. 2e). The RH mean values recorded range between 65 and 80%. The higher val- ue registered in 2011 is associated with the increase of precipitation during that year. March, April, May, October, November and December have the highest RH, which corresponds to the months of the year with highest precipitation. 3.2 Pollution The air consists of several chemical components such as N2, O2, H2O, CO2, Ar, Ne, He, H2, and CH4, but anthropogenic activities affect such basic composi- tion. Burning fossil fuels and industrialization are factors that have influenced air composition due to the generation of pollutants such as volatile organic compounds (VOC), NOX, SO2, CO, and PM. Bogotá city is among the most polluted metropolis in Latin America, after Mexico City and Santiago. Nevertheless, Bogotá does not suffer the rigorous consequences of this fact, due to its topographical dis- tribution and meteorological variables that produce pollutants dispersion. The most critical air pollutant in the city is PM10. Studies report that mobile sources contribute very significantly to the emissions of this pollutant (Behrentz, 2009); also, that the chemical composition of PM has an ion contribution where sulfates and nitrates are the anions species making the greatest contribution to the composition of PM10 in Bogotá. According to Figure 3a, a significant reduction of PM in recent years contrasts with its relevant increase from 2004 to 2007. SO2 occurs mainly due to the use of fossil fuels with sulfur content such as coal, diesel or gasoline used in industries and automobiles. Industrial sources contribute about 60% of PM emissions and 70% of the SOx emissions into the atmosphere of Bogotá (Rojas, 2007). According to the local environmental authority, PM10 and SO2 concentrations decreased during the last years due to the control of permissible maximum levels in the industrial sector and mobile sources (such as public transportation systems). Figure 3a, b shows the effects of mandatory lower sulfur concentrations in fuel. These figures confirm the idea that the city is following the general trend of decreasing pollution in many capitals worldwide (Kucera, 2003). 3.3 Corrosion rate Meteorological behavior at the test sites is shown in Figure 4. Figure 5 shows the corresponding pollutants deposition for the same period of time. Temperature is homogeneous and almost constant within the urban area (close to 15 ºC), considering the topographic features (a plain area). The USME station, located south of the city within the periurban area, and at a higher elevation than the other sites, has the lowest value of average temperature. This station in turn shows the highest value of RH. Average RH values are usually higher than 60% in all sites, with 80 70 60 50 Particulatematter10(µg•m–3 ) 40 2000 2004 Time (year) 2008 2012 40 30 20 10 Sulfurdioxide,SO2(µg•m–3 ) 0 2000 2004 Time (year) 2008 2012 Fig. 3. Annual atmospheric pollution in Bogotá. (a) Particulate matter. (b) Sulfur dioxide.
  • 7. 59Atmospheric corrosion in Bogotá: Dose-response function higher values in the stations located south and north of the city. The average deposition rate of SO2 is less than 10 mg m–2 day–1 , which is in accordance with the atmo- spheric concentrations shown above. It was found that Autopista-Sur and Fontibón stations, located in semi-industrial areas, showed the highest values of the SO2 deposition rate due to industrial activities and high vehicle traffic. In accordance with the SO2 trend, PM deposition data are homogeneous and the stations located in the west part of the city show higher values (mainly the Autopista-Sur station). The corrosion rates of carbon steel in the exposure sites are shown in Figure 6. The corrosion rate was in very good agreement with the behavior of pollutants, mainly with the SO2 level; however, the magnitude of rcorr is not strictly proportional to that of the SO2 deposition. The corrosion rate was almost constant in the test sites having low SO2 and PM depositions, suggesting that carbon steel does not produce a pro- tective corrosion layer in these sites. Candelaria and USME generally show corrosion rate values below 10 µm yr–1 , closely associated to the low level of pollutants. Nevertheless, the USME station shows a greater value than the Candelaria station, associated with higher RH. The corrosion rate throughout the 16 a) 15 14 13 12 0 3 Suba-Corpas Calle 170 Fontibón Federman Candelaria Autopista Sur Restrepo Usme 6 Exposure time (months) Temperature(ºC) 9 12 90 b) 80 70 60 50 0 3 6 Exposure time (months) Relativehumidity(%) 9 12 Fig. 4. Meteorological features of the test sites. 8 a) 6 4 2 0 0 3 Suba-Corpas Calle 170 Fontibón Federman Candelaria Autopista Sur Restrepo Usme 6 Exposure time (months) SO2(mg•m–2 •day–1 ) 9 12 200 b) 160 140 120 180 100 40 20 80 60 0 0 3 6 Exposure time (months) Particulatematter(mg•m–2 •day–1 ) 9 12 Fig. 5. Pollutants deposition rates at the test sites.
  • 8. 60 J.F. Ríos-Rojas et al. exposure time only decreases clearly at Auto- pista-Sur, which has the greatest pollution levels and average RH below 70%. A similar behavior for the corrosion rate was obtained in Restrepo, which has an equal value of RH but less pollutant deposition rates. It may be considered that the highest SO2 deposition registered in this study leads to the formation of a protective corrosion product on carbon steel surface due to a more compact and thicker layer, which has been reported by other researchers for low and me- dium contents of SO2 (Morcillo et al., 1998). 3.4 Dose-response function Preliminary analyses were often made with the use of PM deposition data, which increased the goodness of fit or R2 ; however, being strongly correlated to the SO2 concentration and included in the equations, PM produced an underestimation of the true effect of SO2, whichiswhyitwasfinallyexcludedfromthestatistical analysis.Ontheotherhand,Eq.(3)gaveabetterestima- tion than Eq. (2) of the corrosion rates, including both best-fit and individual significance of the parameters. Accordingly, the annual dose-response function of carbon steel in Bogotá city, in agreement with the experimental data, is shown in Eq. (4): Fig. 6. Corrosion rate throughout the exposure time. 80 60 50 70 40 30 20 10 0 0 3 Suba-Corpas Calle 170 Fontibón Federman Candelaria Autopista sur Restrepo Usme 6 Exposure time (months) Corrosionrate(µg•year–1 ) 9 12 rcorr,it = 0.071[DSO2it 0.37 ]exp(0.045 RH + 0.14 T) (4) Eq. (4) allows for calculating the annual corro- sion rate as a function of the main climatic variables. The coefficient of determination or prediction capacity value (R2 ) is 0.67, indicating a proper goodness of fit, and the model is globally significant because the value of the statistic F(4.27) = 6.81; that is, the corrosion rate of carbon steel is adequately explained by the change in the explanatory variables (RH, T, SO2). All climatological parameters have a positive relationship with the metal corrosion rate according to this equation. The function proves possible nonlin- ear effects of independent variables on atmospheric corrosion (primarily SO2, RH and T). 4. Conclusions An average atmospheric corrosivity value on plain carbon steel could be ranged between 5 µm yr–1 and 35 µm yr–1 in Bogotá. The highest values are general- ly associated with higher SO2 levels, associated with regions of higher anthropogenic activity. Environments with higher level of pollutants (mainly SO2) and an average relative humidity below 70% have a greater tendency to form a pro- tective corrosion layer after one year of exposure. This behavior is most evident in sites with medium SO2 content. A dose-response function of RH, T and SO2 deposition, to determine the corrosion rate of plain carbon steel for the first year of exposure, has been derived. The obtained annual dose-response function provided a valid method to estimate the corrosion rate of carbon steel during the first year of exposure to the atmosphere of Bogotá. Acknowledgements The authors acknowledge Universidad Antonio Nariño for the support given during the devel- opment of project No. 2010257. Likewise, the authors express their gratitude to the Secretaría de Ambiente de Bogotá (Environment Secretar- iat of Bogotá) for providing meteorological and pollutants data used in this paper. The authors also acknowledge the following institutions and companies for allowing them to locate stations in their facilities: Hilandería Fontibón, Almacenes MAKRO and CIEDI School.
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