1
, 2
, and 3
methods for measurements of thermal properties
Rev. Sci. Instrum. 76, 124902 (2005); doi:10.1063/1.2130718
Published 21 December 2005
You are not logged in to this journal. Log in
3
methods are commonly used to measure the thermal conductivity of a substrate adjacent to a strip heater or the thermal conductivity and specific heat of a suspended wire. Here we consider the general case of a line heater that is also used to sense temperature. Analysis of all harmonics is presented in terms of generic thermal and electrical transfer functions and is readily adapted to other experimental configurations. We identify voltage signals at 2
and 1
that contain the same information about the thermal properties as the 3
signal. The 2
voltage requires a dc offset at the current source. The 1
voltage requires a very stable current source, but eliminates the need for higher-harmonic detection, and is advantageous for studying the dynamics of systems with very fast thermal response times. The 1
, 2
, and 3
methods compare favorably with experiments using a suspended platinum wire and a line heater on a Pyrex substrate. With a modern lock-in amplifier, no common-mode voltage subtraction is necessary, which simplifies the experiment compared to the common practice of balancing a bridge or using a multiplying digital-to-analog converter. We also show that the widespread practice of using a voltage source to approximate a current source is only valid when the sample resistance is small compared to the total electrical resistance of the circuit, and derive and experimentally verify a correction factor to be used otherwise.
©2005 American Institute of Physics
methods are commonly used to measure the thermal conductivity of a substrate adjacent to a strip heater or the thermal conductivity and specific heat of a suspended wire. Here we consider the general case of a line heater that is also used to sense temperature. Analysis of all harmonics is presented in terms of generic thermal and electrical transfer functions and is readily adapted to other experimental configurations. We identify voltage signals at 2
and 1
that contain the same information about the thermal properties as the 3
signal. The 2
voltage requires a dc offset at the current source. The 1
voltage requires a very stable current source, but eliminates the need for higher-harmonic detection, and is advantageous for studying the dynamics of systems with very fast thermal response times. The 1
, 2
, and 3
methods compare favorably with experiments using a suspended platinum wire and a line heater on a Pyrex substrate. With a modern lock-in amplifier, no common-mode voltage subtraction is necessary, which simplifies the experiment compared to the common practice of balancing a bridge or using a multiplying digital-to-analog converter. We also show that the widespread practice of using a voltage source to approximate a current source is only valid when the sample resistance is small compared to the total electrical resistance of the circuit, and derive and experimentally verify a correction factor to be used otherwise.
©2005 American Institute of Physics
| History: | Received 10 September 2005; accepted 3 October 2005; published 21 December 2005 |
| Permalink: |
http://link.aip.org/link/?RSINAK/76/124902/1 |
KEYWORDS and PACS
RELATED DATABASES
PUBLICATION DATA
0034-6748 (print)
1089-7623 (online)
REFERENCES (13)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- L. A. Rosenthal, Rev. Sci. Instrum. 32, 1033 (1961).
- L. R. Holland, J. Appl. Phys. 34, 2350 (1963).
- L. Lu, W. Yi, and D. L. Zhang, Rev. Sci. Instrum. 72, 2996 (2001).
- D. G. Cahill, Rev. Sci. Instrum. 61, 802 (1990).
- D. G. Cahill, M. Katiyar, and J. R. Abelson, Phys. Rev. B 50, 6077 (1994).
- T. Borca-Tasciuc, A. R. Kumar, and G. Chen, Rev. Sci. Instrum. 72, 2139 (2001).
- N. O. Birge, Phys. Rev. B 34, 1631 (1986).
- N. O. Birge and S. R. Nagel, Rev. Sci. Instrum. 58, 1464 (1987).
- L. Shi, D. Li, C. Yu, W. Jang, D. Kim, Z. Yao, P. Kim, and A. Majumdar,
J. Heat Transfer 125, 881 (2003) . - A. E. Perry, Hot-Wire Anemometry (Oxford Science, Oxford, 1982).
- L. R. Holland and R. C. Smith, J. Appl. Phys. 37, 4528 (1966).
- Thermophysical Properties Research Center, Purdue University, Thermophysical Properties of Matter, edited by Y. S. Touloukian (IFI/Plenum, New York, 1970).
- Y. C. Tai, C. H. Mastrangelo, and R. S. Muller, J. Appl. Phys. 63, 1442 (1988).







