A Study on Destratification System Using Bubble Plume: Dimensional Analysis and Design Methodology

버블 플룸을 이용한 탈성층의 평가: 차원해석 및 설계방법론의 제시

  • 김성훈 (한국과학기술원 건설 및 환경공학과) ;
  • 김재윤 (한국과학기술원 건설 및 환경공학과) ;
  • 박희경 (한국과학기술원 건설 및 환경공학과)
  • Received : 2005.11.04
  • Accepted : 2005.12.13
  • Published : 2005.12.15

Abstract

In this study, we derived a new non-dimensional variable including bubble size and air diffusing area by Buckingham's theorem for making a practical correlation with experimental results. Firstly, we drew a relationship between a non-dimensional variable, $NH/u_s$, which has a form of Froude number and destratification efficiency with a simple theoretical consideration. Then we derived two non-dimensional variables by Buckingham's ${\pi}$-theorem and equating them with a form of $Fr_N$ for making single parameter to correlate overall destratification efficiency. As the result, the single parameter Be number shows a correlations with destratification efficiencies obtained from laboratory and pilot experiments. Also, for the practical applications, we conducted multiple regression analysis using Be and tank area to make predictive equations about destratification efficiency. The result also shows a successful correlations with destratification efficiency ($R^2$>0.9, p<0.001). Using this equation, we proposed a new design methodology with respect to bubble diffusing area.

Keywords

Acknowledgement

Supported by : 수자원

References

  1. 김성훈, 김재윤, 박성혁, 박희경 (2004) 댐저수지에서 인공 폭기시스템 설계를 위한 CFD의 적용, 대한상하수도학회 한국물환경학회 공동춘계학술발표회논문집
  2. 박성혁, 김재윤, 김성훈, 박희경 (2005) 수중폭기에 의한 탈성층시 산기관의 배치간격과 배치대수의 수리 및 수질 영향 평가, 대한환경공학회 춘계학술연구발표회
  3. 안제영, 김재윤, 박희경 (2004) 비선형상층에서 수중폭기에 의한 탈성층시 공기직경이 탈성층 효율에 미치는 영향 연구, 한국물환경학회 대한상하수도학회 공동춘계학술발표회
  4. 염경택, 박희경, 박노석, 김종섭 (2004) 성층유체의 밀도분포 변화 및 유동장 분석을 통한 Bubble Plume의 수리동 역학적 거동평가, 대한토목학회지, 24(4B), pp. 347-355
  5. 염경택, 박희경, 안제영 (2004) Bubble plume의 중첩효과가 저수지 성층파괴 효율에 미치는 영향에 대한 수리동역학적 2상-3차원 평가, 한국수자원학회지, 37(2), pp. 219-231
  6. Asaeda, T., Imberger, J. (1989) Behaviors of bubble plumes in a linear stratification. Proc. JSCE., 411, pp. 55-62
  7. Asaeda, T., Imberger, J. (1993) Structure of bubble plumes in linearly stratified envirorunents. J. Fluid Meeh., 249, pp. 3557
  8. Baines, W.D., Leitch, A.M. (1992) Destruction of stratification by bubble plume. J. Hydraul. Eng. ASCE, 118(4), pp. 559-577 https://doi.org/10.1061/(ASCE)0733-9429(1992)118:4(559)
  9. Chen, M.B. and Cardoso, S.S.S. (2000) The mixing ofliquids by a plume of low Reynolds number bubbles. Chem. Eng. Sci., 55, pp. 2585-2594 https://doi.org/10.1016/S0009-2509(99)00531-X
  10. Kim, S., Park, H., Ahn, J., and Yum K. (2005) Destratification and water quality improvement in reservoirs: effect of bubble size on destratification. Proc. USA-Korea Conference ACETS,August 11-13, UCI, USA
  11. Lemckert, C.J. and Imbeger, J. (1993) Energetic bubble plumes in arbitrary stratification, J. Hydraul. Eng., 119(6), pp. 680-703 https://doi.org/10.1061/(ASCE)0733-9429(1993)119:6(680)
  12. Rensen, J. and Roig, V. (2001) Experimental study of the unsteady structure of a confined bubble plume. Int. J. Multipbas, Flow. 27, pp. 1431-1449 https://doi.org/10.1016/S0301-9322(01)00012-X
  13. Sahoo, G.B. and Luketina, D. (2003) Modeling of bubble plume design and oxygen transfer for reservoir restoration. Wat. Res. 37, pp. 393-401 https://doi.org/10.1016/S0043-1354(02)00283-X
  14. Sahoo, G.B. and Luketina, D. (2005) Gas transfer during bubbler destratification of reservoir. J. Environ. Eng., ASCE, 131(5), pp.441-449
  15. Sato, K and Sato, T. (2001) A study on bubble plume behavior in stratified water. J. Mar. Sci. Technol. 6(2), pp. 59-69 https://doi.org/10.1007/s773-001-8376-5
  16. Sato, T., Sato, K, and Ishikawa, A. (2002) Numerical simulation of direct injection of carbon dioxide in the ocean. Proc., FEDSM'02, Montreal, ASME, New York
  17. Schladow, S.C. (1993) Lake Destratification by bubble plume systems: Design methodology, J. Hydraul. Eng. ASCE, 119(3), pp. 350-368 https://doi.org/10.1061/(ASCE)0733-9429(1993)119:3(350)
  18. Socolofsky, S.A., and Adams, E.E. (2003) Liquid volume fluxes in stratified multi phase plumes, J. Hydraul. Eng. ASCE, 129(11), pp. 905-914 https://doi.org/10.1061/(ASCE)0733-9429(2003)129:11(905)
  19. Socolofsky, S.A., and Adams, E.E. (2005) Role of slip velocity in the behavior of stratified multiphase plumes, J. Hvdraul. Eng. ASCE, 131(4), pp. 273-282 https://doi.org/10.1061/(ASCE)0733-9429(2005)131:4(273)
  20. Wuest, A., Brooks N.H. and Imboden, D.M. (1992) Bubble plume modeling for lake restoration. Water Resour. Res., 28(12), pp. 3235-3250 https://doi.org/10.1029/92WR01681
  21. Yum, K, Ahn, J, H. Park., and Ko, I.H. (2005) Two-Phase Computational Fluid Dynamics Assessment of Bubble Plume in Air-Diffuser Destratification, Environ. Technol., 26(9), pp. 1043-1054 https://doi.org/10.1080/09593332608618492
  22. Zic. K, Stefan, H.G., and Ellis C. (1992) Laboratory study of water destratification by a bubble plume, J. Hydraul. Res. ASCE, 30(1), pp. 7-27 https://doi.org/10.1080/00221689209498944