Abstract. A free surface flow over a step is calculated analytically. The flow is assumed to be steady, two dimensional and irrotational. The liquid is treated as inviscid and incompressible. The effects of gravity and surface tension are not taken into account. We use the method of the free streamline theory based on the hodograph method and Schwartz-Christoffel transformation technique to obtain the exact solution.

Received: November 13, 2011

AMS Subject Classification: 76B07, 76D45, 76M40, 76B07

Key Words and Phrases: free surface, flow, potential function, the free surface streamline theory

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 3

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