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A Subcritical Flow Over a Stepping Bottom

Wiryanto, L.H., (2005) A Subcritical Flow Over a Stepping Bottom. Bulletin of the Malaysian Mathematical Sciences Society, 28 (1). pp. 95-102. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n1/v28n1p12.pdf

Affiliations

Institut Teknologi Bandung, Dept. of Mathematics

Abstract

A free-surface flow on a channel with step bottom is solved numerically by an integral equation method. The flow is assumed to be steady, $\mathbf{2}$ dimensional and irrotational, meanwhile the fluid is inviscid and incompressible, and the effect of gravity is not negligible. The numerical result show that solutions with a train of waves are obtained for subcritical flow, and for various height of the step. The waves are characterized as long wave with ratio amplitude to wave-length of order $\mathbf{10}^{-2}$ or smaller.

Item Type:Journal
Keywords:Subcritical flow, integral equation method, hodograph variable, Froude number.
Subjects:Q Science, Computer Science
ID Code:1401

[1] F. Dies and J.-M. Vanden-Broeck, Open channel flows with submerged obstructions, J. Fluid Mech. 206 (1989), 155—170.

[2] L. K. Forbes, Critical free-surface flow over a semi-circular obstruction, J. Engrg. Math. 22 (1988), 3—13.

[3] L. K. Forbes and L. W. Schwartz, Fee-surface flow over a semicircular obstruction, J. Fluid Mech. 114 (1982), 299—314.

[4] L. H. Wiryanto, A 2-D flow emerging from a tunnel, Proceeding of ISASTI (1998), 391—394.

[5] L. H. Wiryanto, A cusp-like free-surface flow caused by a source/sink in a channel of finite depth, Bull. Malaya. Math. Soc. (2) 22(1) (1999), 57-65.

[6] L. H. Wiryanto and E. 0. Tuck, An open-channel flow meeting a barrier and forming one or two jets, J. Austral. Math. Soc. Ser. B 41(4) (2000), 458-472.

[7] Y. Zhang and S. Zhu, Open channel flow past a bottom obstruction, J. Engrg. Math. 30(4) (1996), 487—499.

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