engleski

A note on streamline pattern close to the stagnation point of hydrodynamical singularities

Streamline differential equations take the indeterminate form et the stagnation point and because of this there appears the difficulty in starting step of numerical integration of these equations. A solution of this problem is given by determining the slopes of streamlines at the stagnation point. It turns out that in three-dimensional potential flow of an incompressible fluid, when the spatial derivatives of velocity components in the stagnation point are non-equal zero, (and this is always fulfilled in the case of the stagnation point of hydrodynamical singularities generating ship forms), the streamline enters the forward stagnation point perpendicularly to the streamlines which leave this point. Three pairs of slopes, which are the roots of two symmetric quadratic equations in two unknowns, define the reference system whose axes are principal-axes of the rate of deformation tensor.

potential flow; stagnation point; streamline

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