Flow from a Vertical Slice, Technical Information Paper TIP 0410-02 (2004)
The primary variables which govern the angle of outflow and contraction coefficient for a vertical slice are
shown in Fig. 1. The depth B may be to a free surface or to a rigid boundary. If this upper boundary is inclined, the
angle of inclination may influence the outflow if the ratio b/B is near unity.
Fig. 2 shows the angle of outflow, β, as a function of the relative bottom lip extension, L/b and the geometric
ratio b/B. Fig. 3 is a companion chart for determining the contraction coefficient. Fig. 4 provides a comparison
between the theoretical angle of outflow and data reported from laboratory experiments. The information presented
in Figs. 2 and 3 was derived for a nonviscous, ideal fluid and can be used to predict high velocity outflows of dilute
fiber suspensions in water, provided that the effects of gravity and surface tension are small and the flow is
unobstructed for a distance of several times the slice opening b.