The thermal conductivity of a liquid is generally measured under conditions that suppress bulk flow in the sample. However, in situ measurement of the thermal conductivity of a flowing liquid would be useful in various scientific and engineering applications. This work demonstrates that a thermal wave technique, such as the three omega method, can effectively measure the thermal conductivity of flowing liquid if the frequency range is adjusted such that the thermal boundary layer is sufficiently thinner than the momentum boundary layer. A new dimensionless number was defined to assess the convection effects, and a criterion for thermal conductivity measurements was obtained for water flowing in a circular tube.

References

1.
Durst
,
F.
,
Al-Salaymeh
,
A.
, and
Jovanovic
,
J.
, 2001, “
Theoretical and Experimental Investigations of a Wide-Range Thermal Velocity Sensor
,”
Meas. Sci. Technol.
,
12
, pp.
223
237
.
2.
Chung
,
W. S.
,
Kwon
,
O.
,
Choi
,
D. S.
,
Park
,
S.
,
Choi
,
Y. K.
, and
Lee
,
J. S.
, 2004, “
Tunable AC Thermal Anemometry
,”
Superlattices Microstruct.
,
35
, pp.
325
338
.
3.
Mailly
,
F.
,
Martinez
,
A.
,
Giani
,
A.
,
Pascal-Delannoy
,
F.
, and
Boyer
,
A.
, 2003, “
Design of a Micromachined Thermal Accelerometer: Thermal Simulation and Experimental Results
,”
Microelectron. J.
,
34
, pp.
275
280
.
4.
Courteaud
,
J.
,
Crespy
,
N.
,
Combette
,
P.
,
Sorli
,
B.
, and
Giani
,
A.
, 2008, “
Studies and Optimization of the Frequency Response of a Micromachined Thermal Accelerometer
,”
Sens. Actuators, A
,
147
, pp.
75
82
.
5.
Berlicki
,
T. M.
, 2001, “
Thermal Vacuum Sensor With Compensation of Heat Transfer
,”
Sen. Actuators, A
,
93
, pp.
27
32
.
6.
Kimura
,
M.
,
Sakurai
,
F.
,
Ohta
,
H.
, and
Terada
,
T.
, 2007, “
Proposal of a New Structural Thermal Vacuum Sensor With Diode-Thermistors Combined With a Micro-Air-Bridge Heater
,”
Microelectron. J.
,
38
, pp.
171
176
.
7.
Cantor
,
H. P.
, and
Williams
,
O. M.
, 1976, “
A Hot Wire Sensor for Liquid Level Detection
,”
J. Phys. E
,
9
, pp.
1136
1139
.
8.
Hong
,
J.
,
Chang
,
Y. S.
, and
Kim
,
D.
, 2010, “
Development of a Micro Liquid-Level Sensor for Harsh Environments Using a Periodic Heating Technique
,”
Meas. Sci. Technol.
,
21
, p.
105408
.
9.
Hong
,
J.
,
Chang
,
Y. S.
, and
Kim
,
D.
, 2011, “
Development of a Micro Thermal Sensor for Real-Time Monitoring of Lubricating Oil Concentration
,”
HVAC&R Res.
,
34
, pp.
374
382
.
10.
Cahill
,
D. G.
, 1990, “
Thermal Conductivity Measurement From 30 to 750 K: The 3” Method
,”
Rev. Sci. Instrum.
,
61
, pp.
802
808
.
11.
Cahill
,
D. G.
,
Katiyar
,
M.
, and
Abelson
,
J. R.
, 1994, “
Thermal Conductivity of a-Si:H Thin Films
,”
Phys. Rev. B
,
50
, pp.
6077
6081
.
12.
Moon
,
I. K.
,
Jeong
,
Y. H.
, and
Kwun
,
S. I.
, 1996, “
The 3” Technique for Measuring Dynamic Specific Heat and Thermal Conductivity of a Liquid or Solid
,”
Rev. Sci. Instrum.
,
67
, pp.
29
35
.
13.
Chen
,
F.
,
Shulman
,
J.
,
Xue
,
Y.
,
Chu
,
C. W.
, and
Nolas
,
G. S.
, 2004, “
Thermal Conductivity Measurement Under Hydrostatic Pressure Using the 3ω Method
,”
Rev. Sci. Instrum.
,
75
, pp.
4578
4584
.
14.
Choi
,
S. R.
,
Kim
,
J.
, and
Kim
,
D.
, 2007, “
3ω Method to Measure Thermal Properties of Electrically Conducting Small-Volume Liquid
,”
Rev. Sci. Instrum.
,
78
, p.
084902
.
15.
Choi
,
S. R.
, and
Kim
,
D.
, 2008, “
Real-Time Thermal Characterization of 12 nl Fluid Samples in a Microchannel
,”
Rev. Sci. Instrum.
,
79
, p.
064901
.
16.
Wang
,
Z.
, and
Peterson
,
R. B.
, 2010, “
Thermal Wave Applications in Flow Fields With Steady Velocity Profile
,”
ASME J. Heat Transfer
,
132
, p.
054501
.
17.
Myers
,
G. E.
, 1971,
Analytical Methods in Conduction Heat Transfer
,
McGraw-Hill
,
New York
.
18.
Poulikakos
,
D.
, 1994,
Conduction Heat Transfer
,
Prentice-Hall, Englewood Cliffs
,
NJ
.
19.
Lide
,
D. R.
, 2000,
CRC Handbook of Chemistry and Physics
, 81st ed.,
CRC Press
,
Boca Raton, FL
.
20.
Munson
,
B. R.
,
Young
,
D. F.
, and
Okiishi
,
T. H.
, 1998,
Fundamentals of Fluid Mechanics
, 3rd ed.,
John Wiley & Sons
,
New York
.
21.
Beckwith
,
T. G.
,
Marangoni
,
R. D.
, and
Lienhard
,
V. J. H.
, 1995,
Mechanical Measurements
, 5th ed.,
Addison-Wesley
,
New York
.
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