Hydrodynamics velocity and speed

In summary, to find the speed of a fluid in motion in a pipe or cylinder, you can use the formula c = P/(v*rho) where c is the speed of sound, P is the pressure from the sound source, v is the particle velocity, and rho is the density of the fluid. This relationship is important for understanding the propagation of sound in fluid mediums.
  • #1
eagles12
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For fluids in motion, how do I find speed using velocity and diameter or velocity and pressure? Like in a pipe or other cyllinder type thing
 
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  • #2
eagles12 said:
For fluids in motion, how do I find speed using velocity and diameter or velocity and pressure? Like in a pipe or other cyllinder type thing

The relationship between velocity of sound propagation in a liquid medium and the pressure applied on the medium is defined as:

[itex]c = \frac{P}{v*\rho}[/itex]

c is speed of sound
P is pressure from sound source
v is particle velocity (not the fluid in motion, as flowing through a pipe, but rather the speed that the particles move from pressure source).
rho is the density of the fluid
 

Related to Hydrodynamics velocity and speed

1. What is the difference between velocity and speed in hydrodynamics?

Velocity and speed are often used interchangeably, but in hydrodynamics, they have distinct meanings. Velocity refers to the rate of change of an object's position in a specific direction, while speed refers to the rate of motion without regard to direction. In other words, velocity includes both the magnitude and direction of the object's motion, while speed only considers the magnitude.

2. How is velocity calculated in hydrodynamics?

In hydrodynamics, velocity can be calculated by dividing the distance traveled by the time it took to travel that distance. This is represented by the formula v = d/t, where v is velocity, d is distance, and t is time. Velocity can also be calculated by finding the slope of a position-time graph.

3. What factors affect the velocity of fluid in hydrodynamics?

The velocity of fluid in hydrodynamics is affected by various factors, including the pressure gradient, viscosity of the fluid, and the presence of obstacles or boundaries. Other factors such as temperature, density, and surface tension can also influence the velocity of fluid.

4. How does velocity impact the behavior of fluid in hydrodynamics?

The velocity of fluid in hydrodynamics plays a crucial role in determining its behavior. At high velocities, fluid can exhibit turbulent flow, where chaotic and irregular motion occurs. At lower velocities, fluid tends to flow in a more orderly manner, known as laminar flow. The velocity of fluid can also affect its ability to overcome obstacles or mix with other fluids.

5. How is the velocity of fluid measured in hydrodynamics?

The velocity of fluid in hydrodynamics can be measured using various techniques such as flow meters, anemometers, and pitot tubes. These instruments measure the speed and direction of fluid flow, providing valuable data for understanding and analyzing hydrodynamic systems. Additionally, advanced techniques such as laser Doppler velocimetry and particle image velocimetry can also be used to measure the velocity of fluid in a more precise and non-intrusive manner.

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