Fluid Dynamics‎ > ‎

Bernoulli's Principle

  • Bernoulli's Principle states that where the velocity of a fluid is high, the pressure is low, and where the velocity is low, the pressure is high. 
    • As fluid moves from a wider pipe to a narrower one, the volume of that fluid that moves a given distance in a given time period does not change. But since the width of the narrower pipe is smaller, the fluid must move faster in order to achieve that result. One-way to illustrate this is to observe the behavior of a river: in a wide, unconstricted region, it flows slowly, but if its flow is narrowed by canyon walls (for instance), then it speeds up dramatically.
      • The above is a result of the fact that water is a fluid, and having the characteristics of a fluid, it adjusts its shape to fit that of its container or other solid objects it encounters on its path. Since the volume passing through a given length of pipe during a given period of time will be the same, there must be a decrease in pressure. Hence Bernoulli's conclusion: the slower the rate of flow, the higher the pressure, and the faster the rate of flow, the lower the pressure.
    • Knowing the amount of water flowing in a river is important because the river's speed increases as more water flows through it. Double the water means double the speed, so a mild rapid becomes a dangerous one during the rainy season. Rafters also must know the flow because water is heavy, weighing 1,000 kilograms per cubic meter (62 pounds per cubic foot), and in rapids it exerts tremendous pressure on a raft.