REYNOLDS STRESS MODELING OF OPEN-CHANNEL FLOWS OVER BEDFORMS

  • Choi, Sung-Uk (School of Civil & Environmental Engineering, Yonsei University) ;
  • Kang, Hyeong-sik (School of Civil & Environmental Engineering, Yonsei University)
  • Published : 2002.10.01

Abstract

This paper presents a non-isotropic turbulence modeling of flows over bedforms. The Reynolds stress model is used for the turbulence closure. In the model, Launder, Reece, and Rodi's model and Hanjalic and Launder's model are employed f3r the pressure strain correlation term and the diffusion term, respectively. The mean flow and turbulence structures are simulated and compared with profiles measured in the experiments. The numerical solutions from two-equation turbulence models are also provided for comparisons. The Reynolds stress model yields the separation length of eddy similar to the other numerical results. Using the developed model, the resistance coefficients are also estimated for the flows at different Froude numbers. Karim's (1999) relationship is used to determine the bedform geometry. It is found that the values of the form drag and the skin friction are very similar to those obtained by the other turbulence models. meaning higher values of the form drag and lower values of the skin friction compared with the empirical formulas.

Keywords

References

  1. Choi, S.-U., Kim, J., and Kang, H. (2002). 'Numerical assessment of impact of bedform geometry on flow resistance.' 4th International Ecohydraulics Symposium, Cape Town, South Africa
  2. Cokljat, D. and Younis, B.A. (1995). 'Second-order closure study of open-channel flows.' Journal of Hydraulic Engineering, ASCE, 12(2), 94-107 https://doi.org/10.1061/(ASCE)0733-9429(1995)121:2(94)
  3. Einstein, H.A. and Barbarossa, N.L. (1952). 'River channel roughness.' Transactions of the American Society of Civil Engineering, ASCE, 117, 1121-1146
  4. Engelund, F. and Hansen, E. (1967). A Monograph on Sediment Transport in Alluvial Streams, Teknisk Vorlag, Copenhagen, Denmark
  5. Gibson, M.M. and Launder, B.E. (1978). 'Ground effects on pressure fluctuations in the atmospheric boundary layer.' Journal of Fluid Mechanics, 86, 491-511 https://doi.org/10.1017/S0022112078001251
  6. Guy, H.P., Simons, D.B., and Richardson, E.V. (1966). 'Summary of alluvial channel data from flume experimnts, 1956-1961.' Geoloical survey Profl. Paper 462-I, U.S. Department of the Interior, Washington, D.C.
  7. Hanjalic, K. and Launder, B.E. (1972). 'A Reynolds stress model of turbulence and its application to thin shear flows.' Journal of Fluid Mechanics, 52(4), 609-638 https://doi.org/10.1017/S002211207200268X
  8. Julien, P.Y. and Klaassen, G.J. (1995). 'Sand-dune geometry of large rivers during floods.' Journal of Hydraulic Engineering, ASCE, 121(9), 657-663 https://doi.org/10.1061/(ASCE)0733-9429(1995)121:9(657)
  9. Karim, F. (1995). 'Bed configuration and hydraulic resistance in alluvial channel flows.' Journal of Hydraulic Engineering, ASCE, 121(1), 15-25 https://doi.org/10.1061/(ASCE)0733-9429(1995)121:1(15)
  10. Karim, F. (1999). 'Bed-form geometry in sand-bed flows.' Journal of Hydraulic Engineering, ASCE, 125(12), 1253-1261 https://doi.org/10.1061/(ASCE)0733-9429(1999)125:12(1253)
  11. Launder, B.E., Reece, G.J., and Rodi, W. (1975). 'Progress in the development of Reynolds stress turbulence closure.' Journal of Fluid Mechanics, 63(3), 537-566 https://doi.org/10.1017/S0022112075001814
  12. Launder, B.E. and Spaling, D.B. (1974). 'The numerical computation of turbulent flow.' Computational Methods in Applied Mechanics, 3, 269-289 https://doi.org/10.1016/0045-7825(74)90029-2
  13. Lyn, D.A. (1993). 'Turbulence Measurement in open-channel flows over artficial bedforms.' Journal of Hydraulic Engineering, ASCE, 119(3), 306-326 https://doi.org/10.1061/(ASCE)0733-9429(1993)119:3(306)
  14. Naot, D. and Rodi, W. (1982), 'Calculation of secondary currents in channel flow.' Journal of the Hydraulics Division, ASCE, 108(8), 948-968
  15. Rodi, W. (1984). Turbulence Modeling and Their application in Hydraulics. Monograph, IAHR, Delft, The Netherlands
  16. Rotta, J.C. (1951). 'Statistical theorie nichthomogener turbulenz.' Zeitschift f. Physik, 131, 51-77 https://doi.org/10.1007/BF01329645
  17. Shir, C.C. (1973). 'A preliminary numerical stuy of atmospheric turbulent flow in the idealized planetary boundary layer.' Journal of Atmospheric Sciences, 30, 1327-1339 https://doi.org/10.1175/1520-0469(1973)030<1327:APNSOA>2.0.CO;2
  18. Wilcox, D.C. (1988). 'Reassessment of the scale determining equation for advanced turbulence models.' AIAA Journal, 26(11), 1299-1310
  19. Yalin, M.S. (1964). 'Geometrical properties of sand waves.' Journal of the Hydraulics Division, ASCE, 90(5)
  20. Yoon, J.Y. and Patel, V.C. (1996). 'Numerical model of turbulent flow over sand dune.' Journal of Hydraulic Engineering, ASCE, 122(1), 10-18 https://doi.org/10.1061/(ASCE)0733-9429(1996)122:1(10)