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Research papers

Mixing coefficients for longitudinal and vertical mixing in the near field of a surface pollutant discharge

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Pages 91-99 | Received 21 Aug 2009, Published online: 18 Mar 2010

References

  • Ahmad , Z. and Kothyari , U. C. 2001 . Time-line cubic spline interpolation scheme for solution of advection equation . J. Comput. Fluids , 30 ( 6 ) : 737 – 752 .
  • Ahmad , Z. , Kothyari , U. C. and Ranga Raju , K. G. 1999a . Longitudinal dispersion in open channel flows . J. Hydraul. Eng. , 5 ( 2 ) : 1 – 21 .
  • Ahmad , Z. , Kothyari , U. C. and Ranga Raju , K. G. 1999b . Finite difference scheme for longitudinal dispersion . J. Hydraulic Res. , 37 ( 3 ) : 389 – 406 .
  • Einstein , H. A. 1942 . Formulas for the transportation of bed load . Trans. ASCE , 107 : 561 – 597 .
  • Elder , J. W. 1959 . The dispersion of marked fluid particles in turbulent shear flow . J. Fluid Mech. , 5 ( 4 ) : 544 – 560 .
  • Fischer , H. B. 1968 . Dispersion predictions in natural streams . J. Sanit. Eng. Div. ASCE , 94 ( SA5 ) : 927 – 944 .
  • Fischer , H. B. , List , E. J. , Koh , R. C.Y. , Imberger , J. and Brooks , N. H. 1979 . Mixing in inland and coastal waters , New York : Academic Press .
  • French , R. H. 1979 . Transfer coefficients in stratified channel flow . J. Hydraul. Div. ASCE , 105 ( 9 ) : 1087 – 1101 .
  • Garde , R. J. and Ranga Raju , K. G. 2006 . Mechanics of sediment transportation and alluvial stream problems , New Delhi, , India : Wiley Eastern Limited .
  • Guan , Y. , Altinakar , M. S. and Krishnappan , B. G. Two-dimensional simulation of advection-dispersion in open channel flows . Proc. 5th Intl. Conf. Cardiff, UK. Hydroinformatics , pp. 226 – 231 .
  • Jobson , H. E. and Sayre , W. W. 1970a . Predicting concentration profiles in open channels . J. Hydraul. Div. ASCE , 96 ( 10 ) : 1983 – 1996 .
  • Jobson , H. E. and Sayre , W. W. 1970b . Vertical transfer in open channel flow . J. Hydraul. Div. ASCE , 96 ( 3 ) : 703 – 724 .
  • Khan , I. M. , Simons , R. R. and Gras , A. J. 2007 . Vertical diffusion of pollution from line source near a wall . J. Hydraulic Res. , 45 ( 3 ) : 365 – 369 .
  • Kim , D. G. and Seo , I. W. 2000 . Modeling the mixing of heated water discharged from a submerged multiport diffuser . J. Hydraul. Eng. , 38 ( 4 ) : 259 – 270 .
  • Lipsett , A. W. and Beltaos , S. 1978 . “ Tributary mixing characteristics using water quality parameters ” . Edmonton, CA : Alberta Research Council . Report SWE-78/04
  • McNulty , A. J. 1983 . “ Dispersion of a continuous pollutants source in open channel flow ” . Christchurch, NZ : University of Canterbury . PhD thesis
  • McNulty , A. J. and Wood , I. R. 1984 . A new approach to predicting the dispersion of a continuous pollutant source . J. Hydraulic Res. , 22 ( 1 ) : 23 – 34 .
  • Nokes , R. I. 1986 . “ Problems in turbulent dispersion ” . Christchurch, NZ : University of Canterbury . PhD thesis
  • Nokes , R. I. and Wood , I. R. 1988 . Vertical and lateral turbulent dispersion: Some experimental results . J. Fluid Mech. , 187 : 373 – 394 .
  • Nokes , R. I. , McNulty , A. J. and Wood , I. R. 1984 . Turbulent dispersion from a steady two-dimensional horizontal source . J. Fluid Mech. , 149 : 147 – 159 .
  • Rutherford , J. C. 1994 . River mixing , New York : John Wiley and Sons .
  • Schiller , E. J. and Sayre , W. W. 1973 . “ Vertical mixing of heated effluents in open channel flow ” . Iowa City, , USA : Report No. 148. IIHR. University of Iowa .
  • Schiller , E. J. and Sayre , W. W. 1975 . Vertical temperature profiles in open channel flow . J. Hydraul. Div. ASCE , 101 ( 6 ) : 749 – 761 .
  • Seo , I. W. , Baek , K. O. and Jeon , T. M. 2006 . Analysis of transverse mixing in natural streams under slug tests . J. Hydraulic Res. , 44 ( 3 ) : 350 – 362 .
  • Seo , W. , Lee , M. E. and Baek , K. O. 2008 . 2D modeling of heterogeneous dispersion in meandering channels . J. Hydraul. Eng. , 124 ( 2 ) : 196 – 204 .
  • Shiono , K. , Scott , C. F. and Kearney , D. 2003 . Predictions of solute transport in a compound channel using turbulence models . J. Hydraulic Res. , 41 ( 3 ) : 247 – 258 .
  • Singh , S. 2005 . “ Two-dimensional mixing of conservative pollutants in open channels ” . Patiala, , India : Thapar Institute of Engineering & Technology . PhD thesis
  • Singh , S. , Ahmad , Z. and Kothyari , U. C. 2009 . Two-dimensional mixing of pollutants in streams with transverse line slug source . J. Hydraulic Res. , 47 ( 1 ) : 90 – 99 .
  • Stefanovic , D. L. and Stefan , H. 2001 . Accurate two-dimensional solution of advection-diffusive-reactive transport . J. Hydraul. Eng. , 127 ( 9 ) : 728 – 737 .
  • Tsai , T. L. , Yang , J. C. and Huang , L. H. 2002 . Hybrid finite-difference scheme for solving the dispersion equation . J. Hydraul. Eng. , 128 ( 1 ) : 78 – 86 .

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