Geometric criteria for a one-shot gamma densitometer in multiphase flow Page: 3 of 9
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INTRODUCTION
In order to be able to provide fast and accurate void fraction data acquisition during the
investigation of post dryout two phase down flow, it was determined that a gamma
densitometer was neededl1 in order to meet sensitivity requirements of the inverted flow
experiments. Furthermore, because of the physical restrictions of the experimental apparatus,
a multi-beam device could not be installed. By investigating some of the historic design
problems of "One-Shot" devices31, a new error minimization method was established using
simplified transport theory which provides accuracy as good as the multi-beam devices41. In
this paper, a validation of the geometry criteria was provided by comparing a numerical
simulation against previous experimental work.
DESCRIPTION OF WORK
In figure 1 a line of symmetry is defined by the point source and the origin of the
annuli, and it is denoted as the center line. The detector has a width, w, and the lengths L, and
Ld represent the distances from the source to the flow field center and the detector to flow field
center respectively. The functions F, (x) and F3(x) represent the extreme radiation path of a
photon. The variables RP and R0 represent the perpendicular distance from the origin to the
extreme radiation path, F1(x), and the external fluid boundary respectively.
From the above definitions three, dimensionless integrals can be derived in terms of
the known geometric variables. Normalizing each variable of integration:
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Eberle, C.S. Geometric criteria for a one-shot gamma densitometer in multiphase flow, article, July 1, 1995; Idaho Falls, Idaho. (https://digital.library.unt.edu/ark:/67531/metadc794188/m1/3/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.