An Analysis of the Flow and Bed Topography Characteristics of Curved Channels with Numerical Model

수치모형에 의한 만곡수로의 흐름 및 하상 특성 분석

  • Published : 2000.02.01

Abstract

A numerical model which can analyze the flow and bed topography characteristics of a single bend and continuous one was suggested using the equations of mass, momentum, the vertical distribution of secondary flow, and the transverse bed slope. The calculated flow and bed topography characteristic values were compared with the experimental data in a single bend, and the predicted path of maximum streamwise velocity in continuous bends also compared with the Vadnal and Chang's data. The comparisons gave good results. A curved channel with 180 degrees was used. Sand and anthracite were selected as bed materials in the movable bed experiments. The model application of this model to the sand bed and the anthracite one accorded well with the observed values in the experiments. This model was proved to be useful for predicting the flow and bed topography with the change of bed materials. The results of this research could be used to construct and control curved channels as a fundamental information.mation.

본 연구에서는 연속방정식, 운동량방정식, 2차흐름의 연직분포식, 횡방향 하상경사식 등을 이용하여 단일만곡수로 뿐만 아니라 연속만곡수로에서 흐름특성과 하상변동을 분석할 수 있는 수치모형을 계산하였다. 단일만곡수로에서는 흐름특성치와 하상변동을 실험치와 비교하였으며, 연속만곡수로에서는 최대유속의 이동경로를 Vadnal 수치모형의 계산치, Chang의 실험치와 비교하여 만족할 만한 결과를 얻었다. 중심각 $180^{\circ}$ 인 유로만곡부에서 고정상 및 이동상의 조건으로 실험을 실시하였으며, 하상재료로는 모래와 안트라싸이트를 선택하였다. 모래와 안트라싸이트의 경우에도 실험치와 계산치가 비교적 일치하고 있어서 하상재료가 변화되는 유로만곡부에서도 수치모형의 적용성을 확인하였다. 이 연구는 유로만곡부의 설계, 시공, 유지 및 관리 등에 필요한 흐름특성과 하상변동에 관한 기초자료를 제공할 것으로 생각된다.

Keywords

References

  1. 고재웅 (1975). '만곡수로에서의 하상변동에 관한 연구.' 한국수문학회지, 한국수문학회, 제8권, 제2호, pp. 75-80
  2. 송재우, 최인호, 김지호 (1994). '유로만곡부의 횡방향 하상경사 산정모형에 관한 연구.' 대한토목학회논문집, 대한토목학회, 제14권, 제6호, pp. 1395-1404
  3. 윤세의, 이종태 (1990). '만곡수로에서의 곡률반경 변화에 따른 흐름특성.' 한국수문학회지, 한국수문학회, 제23권, 제3호, pp. 435-444
  4. 정재욱, 윤세의 (1998). '만곡수로에서의 하상재료 변화에 따른 흐름 및 하상변동에 관한 실험적 연구.' 한국수자원학회논문집, 한국수자원학회, 제31권, 제3호, pp. 291-301
  5. 차영기, 이대철 (1991). '만곡수로의 횡방향 하상경사와 흐름특성.' 한국수문학회지, 한국수문학회, 제24권, 제1호, pp. 99-107
  6. Ashida, K., and Michiue, M. (1972). 'Study on hydraulic resistance and bed-load transport rate in alluvial streams.' Trans. of JSCE, No. 206 Oct. pp. 59-69
  7. Chang, Y. C. (1971). Lateral Mixing in Meandering Channels. Ph.D. dissertation, The University of Iowa, USA
  8. Engelund, F. (1974). 'Flow and bed topography in channel bends.' J. of the Hydr. Div., ASCE, Vol. 100, No. HY11, pp. 1631-1648
  9. rvine, D.A., Willetts, B.B., Sellin, R.H.J., and Lorena, M. (1993). 'Factors affecting conveyance in meandering compound flows.' J. Hydr. Engrg., ASCE, Vol. 119, No. 12, pp. 1383-1399 https://doi.org/10.1061/(ASCE)0733-9429(1993)119:12(1383)
  10. Ferguson, R.I. (1973). 'Regular meander path model.' Water Resources Research, Vol. 9, No. 4, pp. 1079-1085
  11. Friedkin, J.F. (1972). 'A laboratory study of the meandering of alluvial rivers.' River morphology, Edited by Schumm, S. A, John-Wiley & Sons, Inc.
  12. Francis, J.R.D., and Asfari, A.F. (1971). 'Velocity distribution in wide, curved open channel flows.' J. of Hydraulic Research, Vol. 9, No. 1, pp. 73-89
  13. Hsu, S.H. (1988). Mathematical modelling of flow and bed characteristics in curved channels with nonuniform bed material. Ph.D. dissertation, The University of Iowa
  14. Ikeda, S., Yamasaka, M., and Chiyoda, M. (1987). 'Bed topography and sorting in bends.' J. Hydr. Engrg., ASCE, Vol. 113, No. 2, pp, 190-206
  15. James, C.S. (1994). 'Evaluation of methods for predicting bend Loss in meandering channels.' J. Hydr. Engrg., ASCE, Vol. 120, No. 2, pp. 245-253 https://doi.org/10.1061/(ASCE)0733-9429(1994)120:2(245)
  16. Kalkwijk, J.P.T., and De Vriend, H.J. (1980). 'Computation of the flow in shallow river bends.' J. of Hydraulic Research, Vol. 18, No. 4, pp. 327-342
  17. Odgaard, A.J. (1986a). 'Meander flow model. I: development.' J Hydr. Engrg., ASCE, Vol. 112, No. 12, pp. 1117-1136
  18. Odgaard, A.J. (1986b). 'Meander flow model. II: applications.' J. Hydr. Engrg., ASCE, Vol. 112, No. 12, pp. 1137-1150
  19. Odgaard, A.J. (1989a). 'River-meander model. I: development.' J Hydr. Engrg., ASCE, Vol. 115, No. 11, pp. 1433-1450
  20. Odgaard, A.J. (l989b). 'River-meander model. II: applications.' J. Hydr. Engrg., ASCE, Vol. 115, No. 11, pp. 1451-1464
  21. Onishi, Y., Jain, S.C., and Kennedy, J.F. (1976). 'Effects of meandering in alluvial streams.' J. of the Hydr. Div., ASCE, Vol. 102, No. HY7, pp. 899-917
  22. Rozovskii, I.L. (1961). Flow of water in bends of open channels. translated from Russian by the Israel Program for Scientific Translations, Jerusalem, Israel
  23. Talman, A.M., Van Mierlo, M.C.L.M., and Struiksma, N. (1995). 'Laboratory measurements of the direction of sediment transport on transverse alluvial-bed slopes.' J. of Hydraulic Research, Vol. 33, No. 4, pp. 495-517
  24. Vadnal, J.L. (1984). A numerical model for steady flow in meandering alluvial channels. Ph.D. dissertation, The University of Iowa
  25. Whiting, P.J., and Dietrich, W.E. (1993a). 'Experimental studies of bed topography and flow patterns in large-amplitude meanders 1. observations.' Water Resources Research, Vol. 29, No. 11, pp. 3605-3614 https://doi.org/10.1029/93WR01755
  26. Whiting, P.J., and Dietrich, W.E. (1993b). 'Experimental studies of bed topography and flow patterns in large-amplitude meanders 2. mechanisms.' Water Resources Research, Vol. 29, No. 11, pp. 3615-3622 https://doi.org/10.1029/93WR01756
  27. Zimmermann, C., and Kennedy, J.F. (1973). 'Sediment transport and bed forms in laboratory streams of circular plan-form.' Proc. 15th Congr. IAHR, Paper A-1, Istanbul, Turkey
  28. Zimmermann, C., and Kennedy, J.F. (1978). 'Transverse bed slopes in curved alluvial streams.' J. of the Hydr. Div., ASCE, Vol. 104, No. HY1, pp. 33-48