example 15-1 - Example 15-1 Water is pumped through a 3 cm...

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Example 15-1 Water is pumped through a 3 cm diameter pipe to an elevated reservoir, as shown. The reservoir is very large; therefore, the velocity of the top surface is approximately zero. At a certain time, the height of water in the reservoir is 290 cm above the level of the pump. Neglecting viscous effects, calculate the power input to the pump. Solution: Begin by finding the pressure at point 2. From Bernoulli’s equation 2 2 3 3 2 2 2 3 2 2 P P gz gz ρ ρ + + = + + V V The velocity at point 2 can be determined using the velocity at point 1 and conservation of mass.
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