Research Article
Mar 1978
Applicability of Kinematic and Diffusion Models
Authors: Victor Miguel Ponce, M.ASCE, Daryl B. Simons, F.ASCE, and Ruh-Ming Li, M.ASCEAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 104, Issue 3
Abstract
The applicability of the kinematic and diffusion models of open channel flow is assessed by comparing the propagation characteristics of sinusoidal perturbations to the steady uniform flow for the kinematic, diffusion, and dynamic models (the dynamic model is that based on the complete Saint Venant equations). The comparison allows the determination of inequality criteria that need to be satisfied if the kinematic or diffusion models are to simulate the physical phenomena within a prescribed accuracy. It is shown that bed slope and wave period (akin to wave duration in waves of shape other than sinusoidal) are the important physical characteristics in determining the applicability of the approximate models. Larger bed slopes or long wave periods, or both, will satisfy the inequality criteria. In practice, larger bed slopes are those of overland flow, and long wave periods are those corresponding to slow-rising flood waves.
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Published In
Journal of the Hydraulics Division
Volume 104 • Issue 3 • March 1978
Pages: 353 - 360
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Mar 1978
Published online: Feb 3, 2021
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Affiliations
Victor Miguel Ponce, M.ASCE
Asst. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo., USA
Daryl B. Simons, F.ASCE
Assoc. Dean for Research and Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo., USA
Ruh-Ming Li, M.ASCE
Assoc. Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo., USA
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.