Free streamline flow over curved topography

Classical free-streamline flow over a polygonal obstacle

In classical Kirchhoff flow, an ideal incompressible fluid flows past an obstacle and around a motionless wake bounded by free streamlines. Since 1869 it has been known that in principle, the two-dimensional Kirchhoff flow over a polygonal obstacle can be determined by constructing a conformal map onto a polygon in the log-hodograph plane. In practice, however, this idea has rarely been put to ...

Steady free-surface flow over spatially periodic topography

Two-dimensional free-surface flow over a spatially periodic channel bed topography is examined using a steady periodically forced Korteweg–de Vries equation. The existence of new forced solitary-type waves with periodic tails is demonstrated using recently developed non-autonomous dynamical-systems theory. Bound states with two or more co-existing solitary waves are also identified. The solutio...

A wake model for free-streamline flow theory

A wake model for the free-streamline theory is proposed to treat the two-dimensional flow past an obstacle with a wake or cavity formation. In this model the wake flow is approximately described in the large by an equivalent potential flow such that along the wake boundary the pressure first assumes a prescribed constant under-pressure in a region downstream of the separation points (called the...

Electrified viscous thin film flow over topography

Numerical simulation of free flow over Gabion crump weirs

Environmentally friendly nature and the direct impact of gabion weirs on the quality parameters of rivers as well as simple design and construction of such structures, has putted them under consideration in the recent years. In this research, Hydraulic parameters of gabion crump weirs including water surface profile, discharge coefficient and through flow discharge are investigated numerically ...