A Preliminary Numerical Approach for the Study of Compressed Air Injection in Inverted Siphons
Publication: Journal of Hydraulic Engineering
Volume 139, Issue 7
Abstract
Inverted siphons are particular structures in sewerage and drainage systems that are frequently associated with difficulties in hydraulic design and operating conditions. Air injection in the base of the rising branch of the sanitary siphons may solve problems often found in conventional design, such as the available hydraulic head and the flow velocity required, or the frequent deposition of suspended solids and organic matter. A model was developed for numerical integration of the energy differential equation for gradually varied steady flow of the two-phase flow of the rising leg considering isothermal conditions. The results of the model application were compared with published data measured on air-lift pumps and with data obtained in a siphon experimental setup with two barrels of different diameters, which was specifically constructed and tested for the research. The numerical results for the set of parameters used and corresponding calibration data show a good agreement with the experimental measurements, primarily for the barrel with the smaller diameter.
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References
Akagawa, K. (1957). “The flow of the mixture of air and water. III. The friction losses in horizontal, inclined and vertical tubes.” Trans. Jap. Soc. Mech. Eng., 23(128), 292–298.
ASCE. (1969). Design and construction of sanitary storm sewers, Reston, VA.
ASCE. (1982). Gravity sanitary sewer design and construction, Reston, VA.
Bhramara, P., Rao, V. D., Sharma, K. V., and Reddy, T. K. K. (2008). “CFD analysis of two phase flow in a horizontal pipe—Prediction of pressure drop.” World Acad. Sci. Eng. Technol., 40(1), 315–321.
Chisholm, D., and Laird, A. D. K. (1958). “Two-phase flow in rough tubes.” Trans. ASME, 80(2), 276–286.
Clark, N. N., and Dabolt, R. J. (1986). “A general design equation for air lift pumps operating in slug flow.” AIChE J., 32(1), 56–64.
Diogo, A. F. (1996). “Optimização tridimensional de sistemas urbanos de drenagem.” Ph.D. thesis, Faculty of Science and Technology, Univ. of Coimbra, Coimbra, Portugal (in Portugese).
Diogo, A. F. (2008). Relatório final, trabalho de consultadoria dos projectos dos sistemas de abastecimento de água, drenagem de águas residuais e reutilização de águas residuais comunitárias tratadas para rega do empreendimento Santiago Golf Resort, Cabo Verde, Faculty of Science and Technology, Hydraulics Project, Water Resources and Environment, Santiago Resort, Pedro Nunes Institute, Coimbra, Portugal (in Portugese).
Diogo, A. F., and Apóstolo, A. S. (2012). “Experimental gain of hydraulic head by air injection in inverted siphons.” Proc., 1st Int. Congress on Water, Waste and Energy Management, CIII-IPP, EII, Universidad de Estremadura, Salamanca, Spain, (CDROM 4 p.), 27.
Diogo, A. F., and Gomes, C. C. (2011). “Estudo experimental de injecção de ar em sifões invertidos.” Proc., 6th CLME—Congresso Luso-Moçambicano de Engenharia, Simpósio Hidráulica Recursos Hídricos e Ambiente, FEUP, FEUEM, Maputo, Mozambique, (CDROM 14 p.), 751–752. (in Portugese).
Diogo, A. F., and Graveto, V. M. (2006). “Optimal layout of sewer systems: A deterministic versus a stochastic model.” J. Hydraul. Eng., 132(9), 927–943.
Diogo, A. F., and Oliveira, A. L. (2008). “Sistemas de drenagem e reutilização de águas residuais comunitárias da zona Sudoeste do município da Praia, Cabo Verde. Um caso de estudo.” Proc., 5th CLME—Congresso Luso-Moçambicano de Engenharia, Simpósio Hidráulica Recursos Hídricos e Ambiente, FEUP, FEUEM, Maputo, Mozambique, (CDROM 9 p.), 333–334 (in Portugese).
Dutkowski, K. (2009). “Two-phase pressure drop of air–water in minichannels.” Int. J. Heat Mass Tran., 52(21), 5185–5192.
Franzini, J. B., and Finnemore, E. J. (1997). Fluid mechanics with engineering applications, 9th Ed., McGraw-Hill, New York.
Griffith, P., and Wallis, G. B. (1961). “Two-phase slug flow.” J. Heat Transfer, 83(3), 307–318.
Hibiki, T., and Ishii, M. (2003). “One-dimensional drift-flux model for two-phase flow in a large diameter pipe.” Heat Mass Tran., 46(10), 1773–1790.
Kassab, S. Z., Kandil, H. A., Warda, H. A., and Ahmed, W. H. (2009). “Air-lift pump characteristics under two-phase flow conditions.” Int. J. Heat Fluid Flow, 30(1), 88–98.
Kato, H., Miyazawa, T., Timaya, S., and Iwasaki, T. (1975). “A study of an air-lift pump for solid particles.” Bull. JSME, 18(117), 286–294.
Khalil, M. F., Elshorbagy, K. A., Kassab, S. Z., and Fahmy, R. I. (1999). “Effect of air injection method in the performance of an air-lift pump.” Int. J. Heat Fluid Flow, 20(6), 598–604.
Krishna, R., Urseanu, M. I., Baten, J. M., and Ellenberger, J. (1999). “Rise velocity of a swarm of large gas bubbles in liquids.” Chem. Eng. Sci., 54(2), 171–183.
Lima Neto, I. E., Zhu, D. Z., and Rajaratnam, N. (2008). “Bubbly jets in stagnant water.” Int. J. Multiphase Flow, 34(12), 1130–1141.
Lima Neto, I. E., Zhu, D. Z., Rajaratnam, N., Yu, T., Spafford, M., and McEachern, P. (2007). “Dissolved oxygen downstream of an effluent outfall in an ice-covered river: Natural and artificial aeration.” J. Environ. Eng., 133(11), 1051–1060.
Lockhart, R. W., and Martinelli, R. C. (1949). “Proposed correlation of data for isothermal two-phase, two component flow in pipes.” Chem. Eng. Prog., 45(1), 39–48.
Metcalf and Eddy. (1981). Wastewater engineering: Collection and pumping of wastewater, McGraw-Hill, New York.
Moraveji, M. K., Sajjadi, B., Jafarkhani, M., and Davarnejad, R. (2011). “Experimental investigation and CFD simulation of turbulence effect on hydrodynamic and mass transfer in a packed bed airlift internal loop reactor.” Int. Comm. Heat Mass Tran., 38(4), 518–524.
Mudde, R. F. (2005). “Gravity-driven bubbly flows.” Annu. Rev. Fluid Mech., 37(1), 393–423.
Mueller, J. A., Boyle, W. C., and Pöpel, H. J. (2002). Aeration: Principles and practice, CRC Press, Boca Raton, FL.
Nenes, A., Assimacoupolos, D., Markatos, N., and Mitsoulis, E. (1996). “Simulation of airlift pumps for deep water wells.” Can. J. Chem. Eng., 74(4), 448–456.
Nicklin, D. J. (1963). “The air-lift pump: Theory and optimisation.” Trans. Instn. Chem. Eng., 41(1), 29–39.
Nicklin, D. J., Wilkes, J. O., and Davidson, J. F. (1962). “Two-phase flow in vertical tubes.” Trans. Instn. Chem. Eng., 40(1), 61–68.
Oddie, G., and Pearson, J. R. A. (2004). “Flow-rate measurement in two-phase flow.” Annu. Rev. Fluid Mech. 36(1), 149–172.
Ohnuki, A., and Akimoto, H. (1996). “An experimental study on developing air-water two-phase flow along a large vertical pipe: Effect on air injection method.” Int. J. Multiphase Flow, 22(6), 1143–1154.
Ohnuki, A., and Akimoto, H. (2000). “Experimental study on transition flow pattern and phase distribution in upward air-water two-phase flow along a large vertical pipe.” Int. J. Multiphase Flow, 26(3), 367–386.
Oliveira, M. C. (2009). “Órgãos acessórios especiais de sistemas de saneamento. Contribuição para o estudo de sifões invertidos.” M.Sc. thesis, Dept. of Civil Engineering, Faculty of Sciences and Technology, Univ. of Coimbra, Coimbra, Portugal (in Portugese).
Pougatch, K., and Salcudean, M. (2008). “Numerical modelling of deep sea air-lift.” Ocean Eng., 35(11), 1173–1182.
Reinemann, D. J. (1987). “A theoretical and experimental study of airlift pumping and aeration with reference to aquacultural applications.” Ph.D. thesis, Cornell Univ., Ithaca, NY.
Reinemann, D. J., Parlange, J. Y., and Timmons, M. B. (1990). “Theory of small-diameter airlift pumps.” Int. J. Multiphase Flow, 16(1), 113–122.
Reinemann, D. J., and Timmons, M. B. (1989). “Prediction of oxygen transfer and total dissolved gas pressure in airlift pumping.” Aquacult. Eng., 8(1), 29–46.
Shen, X., Matsui, R., Mishima, K., and Nakamura, H. (2010). “Distribution parameter and drift velocity for two-phase flow in a large diameter pipe.” Nuclear Eng. Design, 240(12), 3991–4000.
Simonnet, M., Gentric, C., Olmos, E., and Midoux, N. (2007). “Experimental determination of the drag coefficient in a swarm of bubbles.” Chem. Eng. Sci., 62(3), 858–866.
Taitel, Y., Bornea, D., and Dukler, A. (1980). “Modelling flow pattern transitions for steady upward gas-liquid flow in vertical tubes.” AIChE J., 26(3), 345–354.
Todoroki, I., and Sato, Y. (1973). “Performance of air-lift pump.” Bull. JSME, 16(94), 733–740.
Vijayan, P. K., Patil, A. P., Pilkhwal, D. S., Saha, D., and Raj, V. V. (2000). “An assessment of pressure drop and void fraction correlations with data from two-phase natural circulation loops.” Heat Mass Tran., 36(6), 541–548.
Woldesemayat, M. A., and Ghajar, A. J. (2007). “Comparison of void fraction correlations for different flow patterns in horizontal and upward inclined pipes.” Int. J. Multiphase Flow, 33(4), 347–370.
Yoshinaga, T., and Sato, Y. (1996). “Performance of an air-lift pump for conveying coarse particles.” Int. J. Multiphase Flow, 22(2), 223–238.
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Information
Published In
Journal of Hydraulic Engineering
Volume 139 • Issue 7 • July 2013
Pages: 772 - 784
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Apr 2, 2012
Accepted: Nov 8, 2012
Published online: Nov 10, 2012
Published in print: Jul 1, 2013
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