Fluid Dynamics Basics: Mass, Flow Rate & Density

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SUMMARY

This discussion focuses on the fundamental concepts of fluid dynamics, specifically regarding the relationship between velocity, density, and force in incompressible fluids. It establishes that for incompressible fluids, density remains constant, and knowing the velocity and pressure at two points along a streamline allows for the calculation of density using Bernoulli's equation: density = 2 ∆(pressure)/∆(speed²). The conversation clarifies that both density and velocity are essential for determining the force exerted by the fluid on a mass.

PREREQUISITES
  • Understanding of Bernoulli's principle
  • Knowledge of fluid dynamics terminology
  • Familiarity with the concept of incompressible fluids
  • Basic mathematical skills for applying equations
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  • Study Bernoulli's equation in detail
  • Explore the properties of incompressible fluids
  • Learn about pressure measurement techniques in fluid dynamics
  • Investigate real-world applications of fluid dynamics principles
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diagopod
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Trying to understand the basics of fluid dynamics after reading up on Bernoulli's principle. One thing I'm caught on. If I know the velocity of an incompressible fluid at a given point, and the force it exerts on a given mass at that point, can I then determine the density of the fluid, or would I need more information? Conversely, if I know the density of the fluid, and the velocity, can then I then determine the force it will exert on a given mass in its path? Thanks for any guidance on this.
 
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Hi diagopod! :smile:

If it's incompressible, then the density is constant.

You need to know the density to relate the speed to the pressure.

If you know the speed at two points along the same streamline, and the pressure at those two points, then Bernoulli's equation tells you that (in the absence of other influences such as gravity) density = 2 ∆(pressure)/∆(speed2).
 
tiny-tim said:
density = 2 ∆(pressure)/∆(speed2).

Thanks tiny-tim, appreciate it.
 

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