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A new kinematic wave model for interpreting cross correlation velocity measurements in vertically upward, bubbly oil-in-water flows

Lucas, Gary and Jin, N.D. (2001) A new kinematic wave model for interpreting cross correlation velocity measurements in vertically upward, bubbly oil-in-water flows. Measurement Science and Technology, 12 (9). pp. 1538-1545. ISSN 09570233

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Abstract

A new model for the speed of propagation of kinematic waves in vertical upward, bubbly oil-in-water flows has been proposed. The new kinematic wave model has been used in conjunction with (i) appropriate values for the `distribution parameter' C0, the single-droplet terminal rise velocity vt0 and an exponent n, obtained from a drift velocity model; (ii) a statistical relationship for the quantity αUh(dC0/dα); and (iii) measurements of a cross correlation velocity Ucc and the volume fraction of oil α to make predictions of the superficial velocities of the mixture, the oil and the water in vertical upward, bubbly oil-in-water flows. The systematic errors in these predicted values of the superficial velocities of the mixture, the oil and the water were 0.16, -0.04 and 0.04%, respectively. The kinematic wave model can thus be used in conjunction with a cross correlation flow meter for accurate measurement of flow rates in vertical oil wells. It was inferred from the kinematic wave model and the experimental data that, for low values of the volume fraction of oil α, the distribution parameter C0 decreases rapidly with increasing α. At higher values of α the decrease in the value of C0 with increasing α is less marked. This result is consistent with the physical explanation that, at low values of α, the oil droplets tend to preferentially accumulate in the relatively fast moving regions of the flow. As α increases the oil droplets become more uniformly distributed amongst the faster and slower moving regions of the flow.

Item Type: Article
Additional Information: UoA 25 (General Engineering)
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QA Mathematics > QA76 Computer software
Schools: School of Computing and Engineering
School of Computing and Engineering > Systems Engineering Research Group
School of Computing and Engineering > High Performance Computing Research Group
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Depositing User: Graham Stone
Date Deposited: 20 Oct 2008 17:04
Last Modified: 16 Dec 2010 09:53
URI: http://eprints.hud.ac.uk/id/eprint/2306

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