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Onset of flow separation for the oblique water impact of a wedge
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Image of FIG. 1.
FIG. 1.

Sketch of the physical plane (a) and the parameter plane (b).

Image of FIG. 2.
FIG. 2.

The variation of the function along the boundary of the fluid region. The continuous changes in the function are shown by solid lines while its step changes are shown by dashed lines.

Image of FIG. 3.
FIG. 3.

Streamline patterns for wedge angle and entry angles , , and .

Image of FIG. 4.
FIG. 4.

Pressure distributions along the wedge sides for cases (a) (dotted line), (b) (dashed line), and (c) (solid line) in Fig. 3.

Image of FIG. 5.
FIG. 5.

Effect of the entry angle on the nondimensional coefficients of normal forces on the right (a) and the left (b) sides of a wedge. The heel angle varies providing wedge orientation (solid line), (dashed line), (dotted line), and (dashed-dotted line). The lower part of graph (b) shows the force coefficients for zero pressure along the wedge side, and corresponding to the experiments (Ref. 1).

Image of FIG. 6.
FIG. 6.

Contact angles and on the right (decreasing curves) and left (increasing curves) wedge sides vs the entry angle for wedge rotation (solid line), (dashed line), (dotted line), and (dashed-dotted line).

Image of FIG. 7.
FIG. 7.

Streamline patterns corresponding to the onset of the ventilation of the left side of a wedge of angle : wedge rotation , (a); , (b).

Image of FIG. 8.
FIG. 8.

Pressure distributions along the wedge sides ( for the left side and for the right side) corresponding to the onset of the ventilation of the left side of the wedge for three angles of rotation: , (solid line); , (dashed line); , (dotted line). The pressure coefficient corresponding to the vapor pressure in the experiments (Ref. 1) is shown by the horizontal dashed-dotted line.

Image of FIG. 9.
FIG. 9.

Onset of flow separation from the wedge vertex in terms of the wedge rotation and the entry velocity angle : the calculated data (solid line), the experimental data (Ref. 1) (solid squares), and the criterion (dashed line). The separation-free region lies below the lines.

Image of FIG. 10.
FIG. 10.

Effect of the wedge half angle for the wedge bisector perpendicular to the initially flat free surface on the critical entry angle shown as the ratio .


Generic image for table
Table I.

Tip jet angles and for oblique wedge water entry. The results in the columns correspond to different distances between the singular point and the nearest node. The results in the rows correspond to different numbers of nodes. The column marked “CH” shows the result of Chekin’s (Ref. 9) nonlinear theory.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Onset of flow separation for the oblique water impact of a wedge