Abstract
The article offers two methods to find mass flow rates of two-phase water-air flows by means of conical narrowing devices (ND) that is a particular operation case of a three-phase flowmeter oil-water-gas based on a dual-isotope gamma-densitometer and ND. One of the methods considers pressure losses due to friction and a possible crisis of hydraulic resistance in the ND, revealed in [2, 3]. This method is based on a model in which the void fraction φ is defined using the proposed approach to find the averaged slip ratio values in the ND. The peculiarity of the other method is the substantiated possibility to use a quasi-homogeneous model. In this case, the relationship of flow rates, pressure drops across the ND, thermophysical properties of components, volumetric gas contents β and friction factors is considered. Influence of a geometric parameter for the pair of the conical ND with diameters of 98/70 mm and 70/50 mm, is analyzed on the basis of the experimental data and calculation technique. For the real flow-meter with the nominal diameter DN 100, it is recommended to use the ND with diameters of 70/50 mm, and the relationship between the values of φ and β, φ = Cβ , C < 1, is justified for this ND. The experimental data were obtained at the State standard of multiphase flows GET195-2011 in Kazan for volumetric water flow rates from 24 to 56 m3/h and volumetric gas contents from 0 to 70% at the temperature of about 20°C. The second method is preferable, and it allows one to define the flow rates of the two-phase flow with maximum relative deviations about ±2%. This is quite optimistic for the conditions under consideration. The possibility of existence or absence of the hydraulic resistance crisis in both ND is discussed.
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REFERENCES
I. M. M. Babelli, “Development of multiphase meter using gamma densitometer concept,” in New Era in Nuclear Science and Technology — The Challenge of the 21st Century: Proc. Int. Nucl. Conf. (INC’97), Kuala Lumpur, Malaysia, Oct. 27–28, 1997 (Malaysian Inst. for Nuclear Technology Research, Bangi, 1997), pp. 371–389.
Yu. P. Filippov and A. Yu. Filippov, “Operation features of a narrowing device in separationless three-phase flow-meter,” Flow Meas. Instrum. 68, 101578 (2019).
Yu. P. Filippov and A. Yu. Filippov, “Defining the flow rates in horizontal two-phase water–gas flows and operation features of a conical narrowing device in a multiphase flowmeter with a gamma-densitometer,” Tepl. Protsessy Tekh. 13, 98–110 (2021). https://doi.org/10.34759/tpt-2021-13-3-98-110
Yu. P. Filippov, I. D. Kakorin, A. M. Kovrizhnykh, and V. M. Miklayev, “Monitoring of multiphase flows for superconducting accelerators and others applications,” Phys. Part. Nucl. Lett. 14, 602–614 (2017). https://doi.org/10.1134/S1547477117040082
GET 195-2011. State Primary Special Standard of the Gas-Line Mixtures Mass Consumption Unit. http://vniir. org/standards/get-195-2011.
Y. P. Filippov and K. S. Panferov, “Two-phase cryogenic flow meters: Part II — How to realize the two-phase pressure drop method,” Cryogenics 51, 640–645 (2011). https://doi.org/10.1016/j.cryogenics.2011.09.013
Y. P. Filippov and K. S. Panferov, “Diagnostics of salty water-in-oil two-phase flow,” Int. J. Multiphase Flow 41, 36–43 (2012). https://doi.org/10.1016/j.ijmultiphaseflow.2011.12.005
D. A. Labuntsov and V. V. Yagov, Mechanics of Two-Phase Systems (Mosk. Energ. Inst., Moscow, 2007) [in Russian].
D. Butterworth and G. F. Hewitt, Two-Phase Flow and Heat Transfer (Oxford Univ. Press, Oxford, 1977).
A. Premoli, F. Francesco, and A. Prina, “A dimensionless correlation for determining the density of two-phase mixtures,” Termotecnica 25, 17–26 (1971).
B. N. Sveshnikov, S. N. Smirnov, A. Yu. Filippov, and Yu. P. Filippov, “Dual-isotope spectrometric gamma densitometer for diagnostics of three-phase oil–water–gas flows,” Phys. Part. Nucl. Lett. 18, 52–62 (2021). https://doi.org/10.1134/S1547477121010118
J. W. Murdock, “Measuring the flow rate of a two-phase flow with orifice plate,” Tech. Mech. 84 (4), 8–22 (1968).
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Filippov, A.Y., Filippov, Y.P. Application of a Pair of Conical Narrowing Devices to Define Flow Rates of Horizontal Two-Phase Water-Gas Flows in Separationless Flow-Meter. Therm. Eng. 69, 326–335 (2022). https://doi.org/10.1134/S0040601522050019
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DOI: https://doi.org/10.1134/S0040601522050019