Problem $6$

Problem $6\mathrm{.}5\mathrm{.}5$

$*$ Use $6$ft$/$s for U $*$

Water flows over a flat surface at $6$ft$//$s$,$ as shown in Fig. P$6\mathrm{.}5\mathrm{.}5.$ A pump draws off water through a narrow slit at a volume rate of $0\mathrm{.}1$ft$^(3)//$s per foot length of the slit. Assume that the fluid is incompressible and inviscid and can be represented by the combination of a uniform flow and a sink. Locate the stagnation point on the wall $($point A $)$ and determine the equation for the stagnation streamline. How far above the surface, H$,$ must the fluid be so that it does not get sucked into the slit?