Subcritical and supercritical shear flows above an uneven bottom
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Abstract
The concepts of subcritical and supercritical flows are introduced for the long-wave approximation model describing stationary free-boundary rotational flows of an ideal incompressible fluid. Shear flows of a fluid layer above an uneven bottom are analyzed. Exact solutions describing different flow regimes are constructed, and the flow properties are studied as a function of the flow regime. Flows with backward streamlines are considered.
Key words
long-wave approximation shear flow free boundary subcritical and supercritical regimes recirculation zonePreview
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References
- 1.V. Yu. Liapidevskii and V. M. Teshukov, Mathematical Models for the Propagation of Long Waves in an Inhomogeneous Fluid [in Russian], Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk (2000).Google Scholar
- 2.V. M. Teshukov, “On the hyperbolicity of the long-wave equations,” Dokl. Akad. Nauk SSSR, 284, No. 3, 555–562 (1985).MATHMathSciNetGoogle Scholar
- 3.V. E. Zakharov, “Benney’s equations and quasiclassical approximation in the inverse problem method,” Funktsional. Anal. Prlozh., 14, No. 2, 15–24 (1980).MATHGoogle Scholar
- 4.V. M. Teshukov, “Hydraulic jump in the shear flow of an ideal incompressible fluid,” J. Appl Mech. Tech. Phys., 36, No. 1, 10–18 (1995).MATHMathSciNetCrossRefGoogle Scholar
- 5.E. Varley and P. A. Blythe, “Long eddies on sheared flows,” Stud. Appl. Math., 68, 103–187 (1983).MATHMathSciNetADSGoogle Scholar
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© Springer Science+Business Media, Inc. 2006