Measurements of interfacial area concentration in two-phase bubbly flow Page: 4 of 8
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Measurements of Interfacial Area Concentration in Two-Phase Bubbly Flow
Q. Wu, S. Kim, D. McCreary, M. Ishii ( Purdue Univ. ), S.G. Beus (Bettis Atomic Power L.b)
Interfacial area concentration is an important parameter in the two-fluid model  for two-phase flow
analysis, which is defined as the total interface area per unit mixture volume and has the Lollowing local
time-averaged expression :
A = , (1)
AT J V ", -n
where denotes the j-th interface that passes the point of interest in a time interval AT. V; and n; refer to the
bubble interface velocity and surface normal vector, respectively. To measure this paramnter, the double-
sensor probe technique is commonly used. Due to the influences of the bubble lateral motions, however, the
measurement results should be interpreted via a certain statistic approach . Recently, to take into account
the effects of the probe spacing, Wu and Ishii provided the following new formula :. correlate the
measurable values to the interfacial area concentration :
-t - 2Nb 2+ L.4 2.251 for D = L2 2.8As, (2)
where Nb refers to the number of the bubbles that hit the probe front tip during time interval AT, As denotes
the distance between the two probe tips, D is the bubble diameter, At represents the measured average time
interval for a interface to travel through the two probe tips, and au is the standard devi:i )n of At. The
theoretical accuracy of this formula is within 5% if the sample size is sufficiently large. -i h purpose of
this study is to evaluate this method experimentally using an image processing method.
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Wu, Q.; Kim, S.; McCreary, D.; Ishii, M. & Beus, S.G. Measurements of interfacial area concentration in two-phase bubbly flow, article, December 31, 1997; West Mifflin, Pennsylvania. (digital.library.unt.edu/ark:/67531/metadc684946/m1/4/: accessed December 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.