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dc.contributor.authorMishra, Surendra Kumar-
dc.contributor.authorSingh V.P.-
dc.identifier.citationHydrological Processes (2003), 17(3): 651-669-
dc.description.abstractDimensionless numbers, including the Reynolds number Re, the wave number σ̂, the Froude number Fo, the quasi- shallow wave number σ̂v, the kinematic wave number K, Vedernikov number V, and others, are frequently encountered in analytical and numerical analyses of waves occuring in frictional and frictionless channels. Depending on their derivation, these numbers can be classified into physical, geometrical, derived, input-based numbers, and their combinations. It can be shown that (a) the waves under friction are primarily governed by Re, pointing to friction laws and, consequently, the rating exponent; (b) the wave number characterizes the wave type for a given Re; (c) the numbers describing the reference state of flow do not have the efficacy of characterizing a wave type on its own, e.g. Fo that describes the significance of inertial forces in wave motion; (d) coupling of Fo with σ̂ produces a more efficacious number K; (e) Vedernikov number V, a combination of the rating exponent or, in turn. Re and Fo, is more powerful than either Re or Fo; and (f) the numbers emanating from analytical solutions describe the wave types, whereas those emanating from numerical analyses usually prescribe the limits for stable solutions, such as Courant number Cr and cell Reynolds number D. The significance of these numbers is described using the case of evolution and propagation of a dam-break flood wave. Furthermore, it is shown that as σ̂ forms the basic unit of shallow wave description, then quasi-shallow waves are described by the quasi-shallow wave number σ̂v, the wave length parameter normalized by the normal depth of flow. © 2002 John Wiley and Sons, Ltd.-
dc.relation.ispartofHydrological Processes-
dc.titleRole of dimesionless numbers in wave analysis-
dc.affiliationMishra, S.K., National Institute of Hydrology, Roorkee, UP 247 667, India-
dc.affiliationSingh, V.P., Dept. of Civil/Envrn. Engineering, Louisiana State University, Baton Rouge, LA 70803-6405, United States-
dc.description.correspondingauthorMishra, S.K.; National Institute of Hydrology, Roorkee, UP 247 667, India; email:
Appears in Collections:Journal Publications [WR]

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