P. Lang et H. Auracher, HEAT-TRANSFER TO NONMISCIBLE LIQUID-LIQUID MIXTURES FLOWING IN A VERTICAL TUBE, Experimental thermal and fluid science, 12(3), 1996, pp. 364-372
Phase distribution and heat transfer measurements were carried out in
an n-heptane-water mixture flowing upward in a vertical stainless stee
l tube of 16-mm inner diameter. For the phase distribution measurement
a very high frequency impedance probe was used with a tip diameter of
0.58 mm. The volumetric phase fraction of n-heptane was varied betwee
n 0 and 1, the mixture velocities between 0.5 and 2.3 m/s, and the tem
perature between 30 and 80 degrees C. By means of a high-speed data ac
quisition board implemented in a personal computer, two methods for si
gnal conditioning were tested: level thresholding and derivative thres
holding. Derivative thresholding proved to be advantageous because it
is insensitive to baseline drift and allows detection of droplets of t
he discontinuous phase. Heat transfer to the liquid-liquid mixture dep
ends on the phase distribution in the boundary layer at the wall. It w
as found that the change from water-dominated heat transfer to n-hepta
ne-dominated heat transfer occurs nearly abruptly at n-heptane volumet
ric phase fractions between 0.6 and 0.7. An estimate of the heat trans
fer coefficient as a function of the mean volumetric fraction epsilon
by a linear interpolation between the heat transfer coefficients at ep
silon(ns) = 0 and epsilon(ns) = 1 would therefore lead to significant
errors. The few correlations available in the literature are also not
suitable to predict heat transfer to water-n-heptane mixtures. Therefo
re a preliminary prediction method is proposed based on the experiment
al data for phase distribution near the heated wall.