Hydrodynamics velocity and speed

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SUMMARY

The discussion focuses on calculating speed in fluid dynamics using velocity, diameter, and pressure. The formula for the speed of sound in a liquid medium is defined as c = P/(v*ρ), where c represents the speed of sound, P is the pressure from the sound source, v is the particle velocity, and ρ is the fluid density. Understanding these relationships is crucial for analyzing fluid behavior in cylindrical systems such as pipes. The distinction between particle velocity and fluid velocity is emphasized for accurate calculations.

PREREQUISITES
  • Fluid dynamics principles
  • Understanding of pressure and density in liquids
  • Basic mathematical skills for manipulating equations
  • Knowledge of cylindrical flow systems
NEXT STEPS
  • Study the Navier-Stokes equations for fluid motion
  • Learn about Bernoulli's principle in fluid dynamics
  • Explore the concept of laminar vs. turbulent flow
  • Investigate the effects of viscosity on fluid speed
USEFUL FOR

Engineers, physicists, and students studying fluid dynamics, particularly those interested in the behavior of fluids in cylindrical systems like pipes.

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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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:

c = \frac{P}{v*\rho}

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
 

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