Application of the thermal wave resonator cavity sensor to the
measurement of the thermal diffusivity in air contaminated with
vapours of different liquid hydrocarbons
E. Marín
† , *
, J. A. P. Lima
††
, M. G. da Silva
††
, M. S. Sthel
††
, S. L. Cardoso
††
and H. Vargas
††
†
Facultad de Física, Universidad de La Habana, San Lázaro y L, Vedado 10400, Ciudad de La
Habana, Cuba
††
Universidade Estadual do Norte Fluminense. Centro de Ciencia e Tecnologia. Av. Alberto Lamego 2000,
28015-620, Campos dos Goytacazes, RJ, Brasil.
*
Now postdoctoral fellow of the Centro Latinoamericano de Física (CLAF) at ††.
A measuring device based in thermal wave interference in a cavity is described. It was tested measuring the air thermal
diffusivity with good accuracy. The device is further applied to the measurement of the thermal diffusivity of air mixed with the vapors
of liquid hydrocarbons of the paraffin family (n-pentane, n-hexane and n-heptane). Our results illustrate how the diffusion of their
vapors in air can be monitored by a simple method and how the thermal properties (i.e. the thermal diffusivity) of the gas mixture
change as a result of this mechanism. Based in the former results a device suitable for in field measurements is predicted.
(Received on June 29, 2000, accepted on October 22, 2000)
Introduction
Despite the increasing number of techniques and
methods suitable for materials characterization, their applications
to gases have been limited to a few examples, mainly
spectroscopic in nature. These traditional techniques are based on
the absorption of certain characteristic laser lines by gas atoms or
molecules, typically in the infrared range of the electromagnetic
spectrum, thus leading to the use of expensive signal generation
and detection schemes used mainly for low concentration
measurements [1]. As there is a well known expanding demand for
reliable and precise measurement of basic properties of gases and
as there exist some lack of information related to their thermal
properties, such as thermal diffusivity [2], we discuss an
alternative method for measurement of this parameter in gas
mixtures. It is based on the phenomena of thermal wave
interference. The method is another application of photothermal
(PT) techniques [3], a field that has experienced enormous
expansion in many directions as a result of its general applicability
and adaptability to several areas of research. It was proposed
recently by Shen and Mandelis [4], who’s succeeded to measuring
the air thermal diffusivity with high accuracy by detecting the
temperature resulting from the propagation of a thermal wave
through the air filling a cavity formed between a PVDF
pyroelectric sensor and an Al foil, namely a Thermal Wave
Resonator Cavity (TWRC). In the present paper, the method is
applied to measure the thermal diffusivity of air saturated with
different concentrations of vapors of different liquid hydrocarbons
of the paraffin family.
Experimental
The instrument designed in our laboratories consists of a
chamber of total volume 210 cm
3
, containing the gas under
investigation, in which a TWRC [3] is enclosed. This is shown in
Fig. 1. The cavity, of variable length L, is formed between a 15 μm
thick Al foil and a pyroelectric temperature sensor (a 25 μm thick
Polyvinyledene Fluoride (PVDF) film with Al-coated surfaces).
Light chopped at a frequency f illuminates the external surface of
the Al foil, which is painted black and acts as a light absorber. The
foil temperature therefore oscillates periodically and generates a
thermal wave that diffuses through the gas filling the cavity and
causes a temperature fluctuation at the surface of the pyroelectric
detector.
The temperature distribution T(x,t) within the gas region
along the longitudinal x coordinate follows the periodic heating of
the Al foil and can be obtained by solving the heat diffusion
equation with the boundary condition that light energy is totally
absorbed at the foil surface. The solution of physical interest for
applications in PT techniques is related to the time-dependent
Variable
L
Pyroelectric
Signal
V(L)
Modulated
Light Flux
Gas
Sample
Thermal
Wave
0
L x
Al-Foil
Metalized
Pyroelectric
Temperature
Sensor
Fig. 1. Schematic view of the TWRC sensor.
2001 © The Japan Society for Analytical Chemistry
s475 ANALYTICAL SCIENCES APRIL 2001, VOL.17 Special Issue