Water flows over a flat surface at \(4 \mathrm{ft} / \mathrm{s}\), as shown in Fig. P6.42. A pump draws off water through a narrow slit at a volume rate of \(0.1 \mathrm{ft}^{3} / \mathrm{s}\) 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?

Figure P6.42

Transcribed Image Text:

4 ft/s H 0.1 ft/s (per foot of length of slit)