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New perspective on the convection‐diffusion‐dispersion equation
Author(s) -
Ponce V. M.,
Huston P. T.
Publication year - 1994
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/94wr00430
Subject(s) - froude number , dispersion (optics) , mechanics , dimensionless quantity , diffusion , convection , kinematic wave , convection–diffusion equation , partial differential equation , mathematics , physics , thermodynamics , mathematical analysis , flow (mathematics) , optics , ecology , surface runoff , biology
The coefficients of the dimensionless partial differential equation of convection‐diffusion‐dispersion of flood waves are shown to be functions of the Froude and Vedernikov numbers only. The Froude number is the ratio of mean velocity to relative dynamic wave celerity. The Vedernikov number is the ratio of relative kinematic wave celerity to relative dynamic wave celerity. The third‐order convection‐diffusion‐dispersion equation can be used to analyze flood propagation problems where both diffusion and dispersion are deemed to be significant.