In this paper, we study the two-dimensional free surface cavity flows past a wedge in channel. A re-entrant jet termination model is introduced. Gravity neglected, but tension included dynamic boundary condition. The fluid assumed to be inviscid and incompressible flow steady irrotational. When negligible, calculate an exact streamline solution by applying conformal mapping techniques. We also compute solutions including effects of using series truncation method. results calculations effect...

Free‐surface flow past two inclined plate is considered. The “Riabouchinsky model” has been chosen to close the cavitiy. fluid assumed be inviscid and incompressible dimensional, steady, irrotational. Surface tension included in dynamic boundary conditions, but effects of gravity are neglected. problem solved numerically using integral equation techniques. More specifically, numerical method used based on an integro‐differential reformulation. Numerical solutions found for different values...

The problem of steady two-dimensional flow a fluid finite depth over successive obstacles is considered. Both gravity and surface tension are taken into account in the dynamic boundary conditions. assumed to be inviscid, incompressible irrotational. characterized by two parameters, Froude number $Fr$ inverse Weber $\delta$. fully non-linear solved numerically using integral equation technique. numerical solutions for sub-critical ($Fr < 1$) supercritical ($Fr>1)$ presented various values...

This paper concerns the two-dimensional free surface cavity flow past an inclined plate in a finite depth. To close cavity, Riabouchinsky model is considered. The fluid assumed to be inviscid and incompressible steady irrotational. When gravity tension are negligible, exact streamline solution derived. We solve problem by using two numerical methods. These methods allow us compute solutions including effects of tension. first method series truncation second boundary integral equations, based...

Free-surface flow over a triangular obstacle is considered.The fluid assumed to be inviscid, incompressible and the steady irrotational.Both gravity surface tension are included in dynamic boundary condition.Far upstream, uniform.The problem solved numerically using integral equation method.The by first deriving integro-differential equations.These equations discretized resulting nonlinear algebraic Newton method.When included, there two additional parameters known as Weber number Froude number.

Two-dimensional free-surface flows of an inviscid and incompressible fluid over multiple obstacles is considered.The flow assumed to be steady irrotational.Both gravity surface tension are included in the dynamic boundary conditions.Far upstream, uniform.Multiples obstructions located at channel bottom.In this paper, fully nonlinear problem formulated by using a integral equation technique.The resulting integro-differential equations solved iteratively Newton's method.When included, there...

In this paper, we consider a bidimensional irrotational flow over multiple trapezoidal obstacles is considered. The fluid assumed to be incompressible and invisid. Both gravity surface tension are included in the dynamic boundary conditions. fully non-linear problem formulated by using integral equation technique. resulting integro-differential equations solved iteratively Newton's method. When included, There two additional parameters known as Weber number Froude number. numerically....

In this paper, we study the problem of two-dimensional free surface flows past an inclined plate infinite length. The Riabouchinsky model is considered. fluid assumed to be inviscid and incompressible flow steady irrotational. For study, effects gravity tension are negligible. This solved by using two methods. first method allow us compute analytical solution employing Schwarz-Christoffel mapping. other numerically series truncation method. obtained results showed a good agreement between...