Fluid Flow and Bernoulli’s Equation

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Presentation transcript:

Fluid Flow and Bernoulli’s Equation

Fluid Flow

Flow Rate

Example A 10 cm diameter hose has water flowing through it at 3 m/s. A nozzle at the end of the hose has a diameter of 2 cm. What is the speed of the water as it leaves the nozzle?

Bernoulli’s Equation

Pressure and Speed If the height is constant, Bernoulli’s equation reveals that an increase in speed causes a reduction in pressure.

Demonstration #1

Demonstration #2

Pressure with height If the water isn’t moving then Bernoulli’s Equation reduces to the pressure with depth equation – The greater the difference in height the more pressure.

Problem d = 2 cm 2 m d = 6 cm 15 L in 30 s What is the pressure in the water main? P = 101,300 Pa d = 2 cm 2 m d = 6 cm 15 L in 30 s