DOI: 10.1007/s10765-005-5581-7
International Journal of Thermophysics, Vol. 26, No. 3, May 2005 (© 2005)
High-Precision and High-Resolution Measurements
of Thermal Diffusivity and Infrared Emissivity
of Water–Methanol Mixtures Using a Pyroelectric
Thermal Wave Resonator Cavity: Frequency-Scan
Approach
A. Matvienko
1
and A. Mandelis
1,2
Received January 21, 2005
The thermal diffusivity and effective infrared emissivity of water–methanol mix-
tures were measured at atmospheric pressure and ambient temperature using a pyro-
electric thermal-wave resonator cavity. The applied frequency-scan method allows
keeping the cavity length fixed, which eliminates instrumental errors and substan-
tially improves the precision and accuracy of the measurements. A theoretical model
describing conduction and radiation heat transfer in the cavity was developed. The
model predictions and the frequency-scan experimental data were compared, show-
ing excellent agreement. The measurements were performed for methanol volume
fractions of 0, 0.5, 1, 2, 5, 10, 20, 40, 75, and 100%. The fitted thermal diffusivity
and effective emissivity vs. concentration results of the mixtures were compared to
literature theoretical and experimental data. The maximum resolution of 0.5% by
volume of methanol in water by means of the thermal-wave cavity method is the
highest reported to date using thermophysical techniques. Semi-empirical expres-
sions for the mixture thermal diffusivity and infrared emissivity as functions of
methanol concentration have been introduced. The expression for infrared emissiv-
ity is consistent with the physical principle of detailed balance (Kirchhoff’s law).
The expression for thermal diffusivity was found to describe the data satisfactorily
over the entire methanol volume-fraction range.
KEY WORDS: infrared emissivity; methanol; mixtures; photopyroelectric tech-
nique; thermal diffusivity; thermal-wave resonator cavity; water.
1
Center for Advanced Diffusion Wave Technologies, Department of Mechanical and Indus-
trial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario M5R 3G8,
Canada.
2
To whom correspondence should be addressed. E-mail: mandelis@mie.utoronto.ca
837
0195-928X/05/0500-0837/0 © 2005 Springer Science+Business Media, Inc.