Fully-developed steady laminar flow is driven between two pa…

Fully-developed steady laminar flow is driven between two parallel plates by a pressure gradient in the x-direction. The upper plate at y=H/2 is stationary and the lower plate at y=-H/2 moves to the right with velocity Uwall.  Assume that v=0 and w=0 everywhere in the flow field and that the flow is fully-developed and steady.  Neglect body forces. To solve this problem, you will use the x-momentum equation.  For the flow described above, mark ALL boundary conditions that are used to find the x-direction velocity profile.

The water reservoir is open to the atmosphere and the outsid…

The water reservoir is open to the atmosphere and the outside of the gate is also exposed to the atmosphere.  The top of the gate is H1= m from the free surface. The height of the gate is H2=0.8 m.  Determine the net force on the gate that is 0.6 meters wide into the picture. The density of water is 998 kg/m3.  The local atmospheric pressure is 101 kPa. In the blank below, enter the net force in kN.  Write your answer to three significant digits and do not include units.