Ideal fluid flow past obstacles in an arbitrary channel: comparison of numerical and experimental results

This paper analyses a numerical model of a flow around an obstacle bounded in a channel with arbitrary walls. The model is based on the usual two-dimensional model of ideal incompressible weightless fluid. It is validated here by comparison with analytical findings and experimental data, which consisted of the velocity field determined by particle image velocimetry (PIV). Despite the simplicity of our wake model, the numerical data are usually in good agreement with the analytical and experimental data.

Impinging free jets of ideal fluid

This paper studies the impinging of two ideal fluid jets. The usual two-dimensional model of jet flow uses an ideal, incompressible, weightless fluid to describe these impinging jets, so that the problem becomes one of complex analysis which seems to have an infinite number of analytical solutions, except for direct jet impacts. The new approach presented here is based on the construction of a dividing line between the two jets. It gives an efficient procedure for solving this problem numerically when the jets flow in arbitrary directions and the solution obtained seems to be unique.

On the Jet Curtain Over Water

The problem of two planar or two-dimensional jets of nonviscous, incompressible, weightless fluid flowing from two nozzles installed symmetrically with respect to a vertical axis onto the surface of an immobile heavy liquid is considered. The flow pattern represents a simple model of a jet curtain of an air-cushion vehicle. The complete theoretical solution to the problem is found—in a thin-jet approximation and under the assumption that the height of the nozzles with respect to the undisturbed surface of the liquid is fixed. The special case of a single nozzle is also considered. Some experimental observations of an air jet flowing from an individual slotted nozzle onto a water surface are presented, and an explanation of the flow mechanism is proposed for the vertical nozzle. In essence, the corresponding process of flow has to be random.