Mathematical modeling of horizontal two-phase flow through fully eccentric annuli

Ömürlü, Çiğdem
The primary objective of this study is to understand the mechanism, the hydraulics and the characteristics, of the two-phase flow in horizontal annuli. While achieving this goal, both theoretical and experimental works have been conducted extensively. The METU-PETE-CTMFL (Middle East Technical University, Petroleum and Natural Gas Engineering Department, Cuttings Transport and Multiphase Flow Laboratory) multiphase flow loop consists of 4.84 m long eccentric horizontal acrylic pipes having 0.1143m inner diameter (I.D) acrylic casing - 0.0571m outer diameter (O.D) drillpipe and 0.0932m I.D acrylic casing - 0.0488m O.D drillipipe geometric configurations. During each experiment, differential pressure loss data obtained from digital and analog pressure transmitters at a given liquid and gas flow rate were recorded. The flow patterns were identified visually. Meanwhile a mechanistic model has been developed. The flow pattern identification criteria proposed originally for twophase flow through pipes by Taitel and Dukler1 has been inherited and modified for the eccentric annular geometry. The complex geometry of eccentric annuli has been represented by a new single diameter definition, namely representative diameter dr. The representative diameter has been used while calculating the pressure losses. A computer code based on the algorithm of the proposed mechanistic model has been developed in Matlab 7.0.4. Both the flow pattern prediction and the frictional pressure loss estimation are compared with the gathered experimental data. Moreover, friction factor correlations have been developed for each flow pattern using experimental data and statistical methods. The performance of the proposed model and the friction factor correlations has been evaluated from experimental data. The mechanistic model developed in this study accurately predicts flow pattern transitions and frictional pressure losses. The model’s pressure loss estimations are within ± 30% for two different annular flow geometries.


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Citation Formats
Ç. Ömürlü, “Mathematical modeling of horizontal two-phase flow through fully eccentric annuli,” M.S. - Master of Science, Middle East Technical University, 2006.