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Title: On the Seddon speed formula [A propos de la formule de Seddon]
Authors: Mishra, Surendra Kumar
Singh V.P.
Published in: Hydrological Sciences Journal
Abstract: The Seddon speed formula expressed mathematically as c = dQ/dA (or alternatively, as c = (1 + m)uo; where Q is the discharge, A is the area of cross-section, c is the wave speed, uo is the normal flow velocity, and m is a dimensionless parameter) is revisited in the context of elasticity and thermodynamics. Its link with the linearized solution of St Venant's equations for wave celerity, which does not appear to have been reported in the hydrological literature, is established. The rating exponent m is shown to be equivalent to the dimensionless relative celerity and is found to be the ratio of two specific heats, viz. cp and cv which are the specific heats at constant pressure and volume, respectively. The use of the parameter m as a complex variable helps describe shallow wave characteristics, the damping capacity of a wave, and the mechanism of occurrence of the hysteretic phenomenon. The damping capacity is found to describe the magnitude of wave subsidence, whereas the hysteresis also describes the speed of subsidence. © 2001 Taylor & Francis Group, LLC.
Citation: Hydrological Sciences Journal (2001), 46(3): 333-347
Issue Date: 2001
Keywords: Attenuation
Diffusion wave
Dynamic wave
Kinematic wave
Loop rating curve
Seddon formula
Steady-dynamic wave
Wave celerity
ISSN: 2626667
Author Scopus IDs: 55463271000
Author Affiliations: Mishra, S.K., National Institute of Hydrology, Jal Vigyan Bhawan, Roorkee, Uttar Pradesh, 247 667, India
Singh, V.P., Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA, 70803-6405, United States
Appears in Collections:Journal Publications [WR]

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