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Article: Steady transcritical flow over a hole: Parametric map of solutions of the forced Korteweg-de Vries equation

TitleSteady transcritical flow over a hole: Parametric map of solutions of the forced Korteweg-de Vries equation
Authors
Issue Date2010
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2010, v. 22 n. 5, article no. 056602 How to Cite?
AbstractTranscritical flow of a stratified fluid over an obstacle, or through a contraction, can be modeled by the forced Korteweg-de Vries equation, which describes a balance among weak nonlinearity, weak dispersion, and small forcing effects. Here we seek steady solutions with constant but different amplitudes upstream and downstream of the forcing region. Our interest is in the case when the forcing has negative polarity, which represents a hole. The effects of the width of the hole and the amplitude of the hole on these steady solutions are investigated. © 2010 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/157077
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants CouncilHKU 712008E
Funding Information:

B.K. Ee acknowledges the kind and generous hospitality of the Department of Mechanical Engineering, University of Hong Kong extended to him during his research visits. Partial financial support has been provided by the Research Grants Council Contract No. HKU 712008E.

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorEe, BKen_US
dc.contributor.authorGrimshaw, RHJen_US
dc.contributor.authorZhang, DHen_US
dc.contributor.authorChow, KWen_US
dc.date.accessioned2012-08-08T08:45:13Z-
dc.date.available2012-08-08T08:45:13Z-
dc.date.issued2010en_US
dc.identifier.citationPhysics Of Fluids, 2010, v. 22 n. 5, article no. 056602en_US
dc.identifier.issn1070-6631en_US
dc.identifier.urihttp://hdl.handle.net/10722/157077-
dc.description.abstractTranscritical flow of a stratified fluid over an obstacle, or through a contraction, can be modeled by the forced Korteweg-de Vries equation, which describes a balance among weak nonlinearity, weak dispersion, and small forcing effects. Here we seek steady solutions with constant but different amplitudes upstream and downstream of the forcing region. Our interest is in the case when the forcing has negative polarity, which represents a hole. The effects of the width of the hole and the amplitude of the hole on these steady solutions are investigated. © 2010 American Institute of Physics.en_US
dc.languageengen_US
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phfen_US
dc.relation.ispartofPhysics of Fluidsen_US
dc.titleSteady transcritical flow over a hole: Parametric map of solutions of the forced Korteweg-de Vries equationen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1063/1.3430607en_US
dc.identifier.scopuseid_2-s2.0-77955637994en_US
dc.identifier.hkuros170659-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955637994&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume22en_US
dc.identifier.issue5en_US
dc.identifier.spagearticle no. 056602en_US
dc.identifier.epagearticle no. 056602en_US
dc.identifier.isiWOS:000278183000047-
dc.publisher.placeUnited Statesen_US
dc.relation.projectWave propagation in non-uniform media: Effects of amplification / attenuation and marginal stability-
dc.identifier.scopusauthoridEe, BK=36872147800en_US
dc.identifier.scopusauthoridGrimshaw, RHJ=35462748600en_US
dc.identifier.scopusauthoridZhang, DH=7405357048en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.customcontrol.immutablecsl 150120-

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