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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i6.80
23 pages

Free Surface Profile of Wavelike Near-Critical Flows and Solitary Solutions of some Differential Equations

A. A. Riabenko
Rivne State Engineering University, Ukraine

SINOPSIS

A mathematical model of wavelike near-critical flows is developed. A generalized differential equation for the free surface curve is derived, its general and solitary solutions expressed through the flow parameters at the initial section of the flows under consideration are found. The well-known equations of Korteweg - de Vries, Serre and the equation suggested in the paper are shown to be reducible to a common form. The existence conditions of the solitary and cnoidal waves are refined. The theoretical profile is compared to the experimental data. On the basis of the performed theoretical and experimental research the steady and permanent near-critical flows with smooth wavelike surfaces are classified.


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