Matches in SemOpenAlex for { <https://semopenalex.org/work/W2128927332> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2128927332 endingPage "575" @default.
- W2128927332 startingPage "575" @default.
- W2128927332 abstract "This paper concerns the asymptotic behaviour (for the limiting case of small amplitudes) of small disturbances as they evolve in time to produce the quasi-steady pattern of roll waves first discussed by Dressler in 1949. Roll waves exist if F, the undisturbed Froude number (dimensionless speed) of the flow, exceeds 2, and consist of a periodic pattern of bores separating two special continuous solutions of the governing equations in a uniformly translating frame. The mathematical problem is rather interesting as solutions of the linearized equations are unstable for F > 2. Thus, it is crucial to account for the cumulative effect of small nonlinearities to obtain a correct description of the flow over long times. We concentrate on the weakly unstable problem (0 < F − 2 [Lt ] 1) and use multiple scale expansions to derive the dominant evolution equation that governs the solution behaviour for long times. This turns out to be an integro-partial differential equation of first order that we solve numerically in conjunction with the jump condition that follows from the exact bore conditions. We present asymptotic and numerical results for periodic as well as isolated initial disturbances, and show that our theory predicts the solution accurately for both the transient and quasi-steady phases." @default.
- W2128927332 created "2016-06-24" @default.
- W2128927332 creator A5026976231 @default.
- W2128927332 creator A5081883463 @default.
- W2128927332 date "1992-10-01" @default.
- W2128927332 modified "2023-10-10" @default.
- W2128927332 title "Nonlinear evolution of small disturbances into roll waves in an inclined open channel" @default.
- W2128927332 cites W1966397149 @default.
- W2128927332 cites W2025647789 @default.
- W2128927332 cites W2048507853 @default.
- W2128927332 cites W2063280407 @default.
- W2128927332 cites W2064757593 @default.
- W2128927332 cites W2073130283 @default.
- W2128927332 cites W2164587930 @default.
- W2128927332 doi "https://doi.org/10.1017/s0022112092002830" @default.
- W2128927332 hasPublicationYear "1992" @default.
- W2128927332 type Work @default.
- W2128927332 sameAs 2128927332 @default.
- W2128927332 citedByCount "40" @default.
- W2128927332 countsByYear W21289273322012 @default.
- W2128927332 countsByYear W21289273322013 @default.
- W2128927332 countsByYear W21289273322014 @default.
- W2128927332 countsByYear W21289273322015 @default.
- W2128927332 countsByYear W21289273322016 @default.
- W2128927332 countsByYear W21289273322018 @default.
- W2128927332 countsByYear W21289273322021 @default.
- W2128927332 countsByYear W21289273322022 @default.
- W2128927332 crossrefType "journal-article" @default.
- W2128927332 hasAuthorship W2128927332A5026976231 @default.
- W2128927332 hasAuthorship W2128927332A5081883463 @default.
- W2128927332 hasConcept C121332964 @default.
- W2128927332 hasConcept C134306372 @default.
- W2128927332 hasConcept C158622935 @default.
- W2128927332 hasConcept C180205008 @default.
- W2128927332 hasConcept C206835866 @default.
- W2128927332 hasConcept C24872484 @default.
- W2128927332 hasConcept C25924097 @default.
- W2128927332 hasConcept C2780695682 @default.
- W2128927332 hasConcept C33923547 @default.
- W2128927332 hasConcept C38349280 @default.
- W2128927332 hasConcept C57879066 @default.
- W2128927332 hasConcept C62520636 @default.
- W2128927332 hasConcept C74650414 @default.
- W2128927332 hasConcept C78045399 @default.
- W2128927332 hasConcept C93779851 @default.
- W2128927332 hasConceptScore W2128927332C121332964 @default.
- W2128927332 hasConceptScore W2128927332C134306372 @default.
- W2128927332 hasConceptScore W2128927332C158622935 @default.
- W2128927332 hasConceptScore W2128927332C180205008 @default.
- W2128927332 hasConceptScore W2128927332C206835866 @default.
- W2128927332 hasConceptScore W2128927332C24872484 @default.
- W2128927332 hasConceptScore W2128927332C25924097 @default.
- W2128927332 hasConceptScore W2128927332C2780695682 @default.
- W2128927332 hasConceptScore W2128927332C33923547 @default.
- W2128927332 hasConceptScore W2128927332C38349280 @default.
- W2128927332 hasConceptScore W2128927332C57879066 @default.
- W2128927332 hasConceptScore W2128927332C62520636 @default.
- W2128927332 hasConceptScore W2128927332C74650414 @default.
- W2128927332 hasConceptScore W2128927332C78045399 @default.
- W2128927332 hasConceptScore W2128927332C93779851 @default.
- W2128927332 hasIssue "-1" @default.
- W2128927332 hasLocation W21289273321 @default.
- W2128927332 hasOpenAccess W2128927332 @default.
- W2128927332 hasPrimaryLocation W21289273321 @default.
- W2128927332 hasRelatedWork W1916475732 @default.
- W2128927332 hasRelatedWork W2113748374 @default.
- W2128927332 hasRelatedWork W2362351660 @default.
- W2128927332 hasRelatedWork W2382426788 @default.
- W2128927332 hasRelatedWork W2383228971 @default.
- W2128927332 hasRelatedWork W2463949263 @default.
- W2128927332 hasRelatedWork W2596751113 @default.
- W2128927332 hasRelatedWork W2993777880 @default.
- W2128927332 hasRelatedWork W3134713680 @default.
- W2128927332 hasRelatedWork W4361219480 @default.
- W2128927332 hasVolume "243" @default.
- W2128927332 isParatext "false" @default.
- W2128927332 isRetracted "false" @default.
- W2128927332 magId "2128927332" @default.
- W2128927332 workType "article" @default.