Todd M. Bandhauer
Modine Manufacturing Company,
Racine, WI 53403
Akhil Agarwal
Srinivas Garimella
e-mail: srinivas.garimella@me.gatech.edu
GWW School of Mechanical Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332-0405
Measurement and Modeling of
Condensation Heat Transfer
Coefficients in Circular
Microchannels
A model for predicting heat transfer during condensation of refrigerant R134a in hori-
zontal microchannels is presented. The thermal amplification technique is used to mea-
sure condensation heat transfer coefficients accurately over small increments of refrig-
erant quality across the vapor-liquid dome 0 x 1. A combination of a high flow rate
closed loop primary coolant and a low flow rate open loop secondary coolant ensures the
accurate measurement of the small heat duties in these microchannels and the deduction
of condensation heat transfer coefficients from measured UA values. Measurements were
conducted for three circular microchannels 0.506 D
h
1.524 mm over the mass flux
range 150 G 750 kg/m
2
s. Results from previous work by the authors on condensa-
tion flow mechanisms in microchannel geometries were used to interpret the results based
on the applicable flow regimes. The heat transfer model is based on the approach origi-
nally developed by Traviss, D. P., Rohsenow, W. M., and Baron, A. B., 1973, “Forced-
Convection Condensation Inside Tubes: A Heat Transfer Equation For Condenser De-
sign,” ASHRAE Trans., 79(1), pp. 157–165 and Moser, K. W., Webb, R. L., and Na, B.,
1998, “A New Equivalent Reynolds Number Model for Condensation in Smooth Tubes,”
ASME, J. Heat Transfer, 120(2), pp. 410–417. The multiple-flow-regime model of Ga-
rimella, S., Agarwal, A., and Killion, J. D., 2005, “Condensation Pressure Drop in
Circular Microchannels,” Heat Transfer Eng., 26(3), pp. 1–8 for predicting condensation
pressure drops in microchannels is used to predict the pertinent interfacial shear stresses
required in this heat transfer model. The resulting heat transfer model predicts 86% of
the data within ±20%. DOI: 10.1115/1.2345427
Keywords: condensation, microchannel, phase change, heat transfer coefficient
Introduction
Microchannels are increasingly being used in industry to yield
compact geometries for heat transfer in a wide variety of applica-
tions. Considerable literature exists on single-phase flow, pressure
drop, and heat transfer in microchannels, as can be seen in some
recent reviews of the literature 1–4. Similarly, boiling and
evaporation pool boiling and convective boiling in microchan-
nels have also been studied due to the interest in heat removal at
high heat fluxes in the electronics cooling industry. But limited
research has been conducted on flow regimes, and the measure-
ment of pressure drop and heat transfer coefficients during con-
densation in microchannel geometries, i.e., in the submillimeter
range of hydraulic diameters. The prominence of studies on boil-
ing and evaporation to date can be attributed to the electronics
cooling industry’s need to remove high heat fluxes through vapor-
ization from compact devices that must be maintained at relatively
low temperatures while being not readily accessible or conducive
to the installation of large and complex cooling systems. How-
ever, the ultimate rejection of these large heat duties through com-
pact condensers has not been addressed adequately. It should be
noted that such compact condensers have been designed and used
for some years by the automotive industry, whose air-conditioning
condensers consist of rectangular tubes with multiple parallel mi-
crochannels cooled by air flowing across multilouver fins. The
microchannels used in these condensers often have hydraulic di-
ameters in the 0.4– 0.7 mm range, although an understanding of
the fundamental condensation phenomena in these heat exchang-
ers is just beginning to emerge. A fundamental understanding of
condensation at the microscales will yield far reaching benefits
not only for these industries, but also for other as-yet untapped
applications such as portable personal cooling devices, hazardous
duty and high ambient air conditioning, and medical/surgical de-
vices, to name a few.
The essential issue and research challenge in microscale con-
densation is that two-phase flow mechanisms and flow regime
transitions in these small channels are considerably different from
those found in the more conventional larger diameter tubes. This
is because of significant differences between large round tubes
and the smaller noncircular tubes in the relative magnitudes of
gravity, shear, and surface tension forces, which determine the
flow regime established at a given combination of liquid and
vapor-phase velocities. Coleman and Garimella experimentally
demonstrated and interpreted these differences in flow mecha-
nisms and transitions for air-water flows 5 as well as for the
condensation of refrigerants 6,7. Because heat transfer coeffi-
cients and two-phase pressure drops depend on the corresponding
flow patterns, it is reasonable to expect that heat transfer coeffi-
cients in microchannels may not be predicted adequately by the
existing correlations for larger diameter tubes. Having established
the pertinent flow mechanisms and transition criteria for the con-
densation of refrigerants in microchannels, Garimella et al. devel-
oped experimentally validated models for pressure drops during
intermittent condensing flows in circular 8 and noncircular 9
microchannels. In addition, they developed a model for conden-
Contributed by the Heat Transfer Division of ASME for publication in the JOUR-
NAL OF HEAT TRANSFER. Manuscript received June 17, 2005; final manuscript received
March 7, 2006. Review conducted by Satish G. Kandlikar. Paper presented at the 3rd
International Conference on Microchannels and Minichannels ICMM2005, June
13–15, 2005, Toronto, Ontario, Canada.
1050 / Vol. 128, OCTOBER 2006 Copyright © 2006 by ASME Transactions of the ASME
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