example 11-1 - Example 11-1 A horizontal sheet of water 6...

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Example 11-1 A horizontal sheet of water 6 cm wide and 1.1 cm thick is deflected by a stationary vane through an angle of 40°. The water enters the vane at 4 m/s. Assume pressure is atmospheric throughout the water and that the sheet of water does not spread. Calculate the magnitude of the force required to hold the vane in place. Neglect the weight of the water and the vane. Solution: Choose the water as the control volume. The only force on the water is the anchoring force of the vane. In the x- direction, this force is () ,, , , x ax c v e x e i d FB mm dt =+ ±± x i V The sheet of water flows in steady state from an inlet at 1 to an exit at 2, so ,2 , 2 1 xa x x Fm m =− , 1 From conservation of mass 12 = Assuming the water is incompressible

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11 2 2 A A ρ = V Since the water does not spread, 12 A A = implying = mA 1 = ± 3 kg
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example 11-1 - Example 11-1 A horizontal sheet of water 6...

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