The effect of forced convection on the power dissipation of cylindrical and planar, constant temperature, thermal conductivity detectors (TCDs) is investigated theoretically. Such detectors can be used either for on-line continuous sensing of fluid thermal conductivity or for determining the sample concentrations in gas chromatography. A low Peclet number, asymptotic theory is constructed to correlate the TCD’s power dissipation with the Peclet number and to explain experimental observations. Subsequently, the effect of convection on the TCD’s power dissipation is calculated numerically for both time-independent and time-dependent flows. The theoretical predictions are compared with experimental observations.

Issue Section:
Analytical and Experimental Methods
Keywords:
Forced Convection, Instrumentation, Transient & Unsteady Heat Transfer
Topics:
Energy dissipation, Forced convection, Sensors, Temperature, Thermal conductivity
1.
Batchelor, G., 1967, An Introduction to Fluid Mechanics, Cambridge.
2.
Guiochou, G., and Guillemin, C. L., 1988, Quantitative Gas Chromatography for Lab Analysis and On-Line Process Control, Elsevier, Amsterdam.
3.
Giddings, J. C., 1991, Unified Separation Science, Wiley, N.Y.
4.
Huang, Y., 1995, Transport Processes in Thermal Conductivity Detectors, Ph.D. dissertation, University of Pennsylvania.
5.
Issa
R. I.
, and
Lockwood
F. C.
,
1977
, “
On the Prediction of Two-Dimensional Supersonic Viscous Interactions Near Walls
,”
AIAA J.
, Vol.
15
, pp.
182
–
188
.
6.
Jerman, J. H., 1981, A Miniature, Thin Film Thermal Conductivity Detector for an Integrated Gas Chromatograph, Technical report G-109-2, Stanford University.
7.
Kreith, F., and Bohn, M. S., 1986, Principles of Heat Transfer, Harper & Row.
8.
Littlewood, A. B., 1970, Gas Chromatography, Academic Press.
9.
Messaros, D. W., Law, C. E., Kolloff, R. H., Gearhart, R. C., and Freeman, R. R., 1984, A New Low Volume, Single Filament-Single Column Thermal Conductivity Detector for Use with Open Tubular Columns, Gas Chromatography, HP Technical Paper 104.
10.
Moon, P., and Spencer, D. E., 1971, Field Theory Handbook, Springer-Verlag, Berlin.
11.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
12.
Terry, S. C., 1975, A Gas Chromatography System Fabricated on a Silicon Wafer Using Integrated Circuit Technology, Technical report 4603-1, Stanford University.
13.
Wells
G.
, and
Simon
R.
,
1983
, “
Thermal Conductivity Detector: Theory and Numerical Model
,”
J. Chromatography
, Vol.
256
, pp.
1
–
15
.
14.
Wolfram, S., 1991, Mathematica, Addison Wesley.
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