Research Article
Sep 1972
Ripples on Underside of River Ice Covers
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 98, Issue 9
Abstract
A mathematical model is developed to predict the occurrence and describe the properties and behavior of ice ripples that form on the underside of river ice-covers. The local rate of freezing or melting at the ice-flow interface is related to the difference between the local heat transfer rates by conduction through the ice and by turbulent transfer from the flow to the ice. The local heat flux to the interface from the flow is expressed as a small perturbation expansion in terms of the steepness of the monochromatic interfacial wave, and is assumed to be shifted relative to the interface wave. The analysis yields a stability criterion and expressions for the amplification rate and celerity of the ripples. Laboratory data are used to obtain values for the constants introduced into the theory and to corroborate the analytical results. Field data are examined in the light of the laboratory results.
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Published In
Journal of the Hydraulics Division
Volume 98 • Issue 9 • September 1972
Pages: 1603 - 1624
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Sep 1972
Published online: Feb 3, 2021
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Authors
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George D. Ashton, AM.ASCE
Hydrologist, U.S. Army Cold Regions Research and Engrg. Lab., Hanover, N.H.; formerly Research Assoc., Inst. of Hydraulic Research, Univ. of Iowa, Iowa City, Iowa
John F. Kennedy, M.ASCE
Dir., Inst. of Hydraulic Research, Univ. of Iowa, Iowa City, Iowa
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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.