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Polymer Testing
journal homepage: www.elsevier.com/locate/polytest
Short Communication: Analysis Method
Significant hidden temperature gradients in thermogravimetric tests
Carlos Gracia-Fernández
a
, Begoña Álvarez-García
b
, Silvia Gómez-Barreiro
b
,
Jorge López-Beceiro
b
, Ramón Artiaga
b,∗
a
TA Instruments-Waters Cromatografía, Alcobendas, 20108, Madrid, Spain
b
University of A Coruña, EPS, Avda. Mendizábal s/n, 15403, Ferrol, Spain
ARTICLE INFO
Keywords:
Thermogravimetry
Temperature gradient
Error
Simulation
ABSTRACT
In thermal analysis, correct measurement of temperature is usually ensured by means of a calibration procedure.
However, in addition to make sure that the right value of temperature is measured, estimation of temperature
gradients into the sample is important. That is especially important in thermogravimetric (TG) analysis, where
combinations of some of the common sample sizes heating rates could lead to important differences of tem-
perature into the sample. If there is a significant gradient between different parts of the sample, then the
temperature of the thermocouple, although correct, does not actually represent the temperature of the whole
sample. While the correctness of the temperature is always important, errors in temperature measurement are
critical in kinetic studies. Thus, estimations of the temperature gradients that appear into the sample as a result
of a given treatment are of highest interest to choose the right operational conditions that minimize that gra-
dient. That is particularly important for kinetic studies. In this work, thermal gradients originated into a sample
during a typical TG test are estimated through a simulation study performed on the Comsol ™ software. A typical
vertical TG furnace, sample size of about 125 mg, and several heating rates were used. Additionally, samples of
different void contents were considered. The results of the simulation show that significant gradients of tem-
perature can be achieved into the sample with experimental conditions like those that are often used. It is also
observed that the difference of temperature between the sample and the furnace wall not only depends on the
heating rate, which can be easily corrected by calibration at the corresponding heating rate, but also varies with
temperature, which makes highly recommended to calibrate in more than one temperature point when broad
ranges of temperature are considered.
1. Introduction
Thermogravimetry is a technique that measures the mass of a
sample as a function of temperature or time while it is subjected to a
controlled temperature program in a controlled atmosphere [1]. The
origin and first developments of this technique were thoroughly de-
scribed by different authors [2–5]. Most of the early thermobalances
were constructed by individual investigators [6], such as Nernst and
Riesenfeld [7], Brill [8], Truchot [9], Urbain and Boulanger [10] and
Honda [11] at the beginning of the twenty-first century. It is also re-
markable the work of Duval [12], who developed an automated ana-
lytical method based on thermogravimetry. His work provided a strong
impetus for this technique [13]. The first commercial thermobalance
appeared in 1945 and it was based on the work of Chevenard [14]. The
evolution has been fast from the beginning up to now, and the sensi-
bility and precision of the thermobalance were increasing continuously.
Nowadays, TG is one of the most common thermal analysis techniques
and it is used in many industrial and scientific fields. A clear review of
TG and other thermophysical characterization techniques has been
provided by K.P. Menard [15].
Temperature calibration is routinely performed in any thermal
analysis technique. While there are many works discussing the im-
portance of temperature calibration and several standards indicating
the right procedures to calibrate temperature of different instruments
[16–26], only a few works paid attention to the possible gradients of
temperature originated into the sample while subjected to a typical
thermo-analytical temperature program [27,28]. Thermal gradients
originated into the sample during a typical thermogravimetric (TG) test
are estimated here through a simulation study. For the simulation, a
typical vertical TG furnace, samples of different porosity and thermal
conductivity, and a few of the most common heating rates were used.
https://doi.org/10.1016/j.polymertesting.2018.04.039
Received 4 December 2017; Received in revised form 5 April 2018; Accepted 26 April 2018
∗
Corresponding author.
E-mail address: ramon.artiaga@udc.es (R. Artiaga).
Polymer Testing 68 (2018) 388–394
Available online 30 April 2018
0142-9418/ © 2018 Elsevier Ltd. All rights reserved.
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