Velocity of Liquid: Pressure & Density Factors

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    Liquid Velocity
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Discussion Overview

The discussion centers around determining the velocity of a liquid based on its density and the pressure at which it is being forced. Participants explore the necessary parameters and formulas relevant to this calculation, with a focus on applications involving nozzles and holes.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant inquires about the necessary information to calculate the velocity of a liquid given its density and pressure, seeking a formula for various conditions.
  • Another participant suggests that the area of the nozzle or hole is also needed for the calculation and questions whether the pressure is total or above atmospheric.
  • A later reply confirms that the liquid is being sprayed from a nozzle with specific dimensions and clarifies that the pressure mentioned is total.
  • One participant corrects an earlier statement, indicating that the area may not be necessary for the calculation and provides a formula relating pressure, velocity, and density.

Areas of Agreement / Disagreement

Participants express varying views on the necessity of the area in the calculations, with some suggesting it is important while others indicate it may not be required. The discussion remains unresolved regarding the best approach to determine the velocity.

Contextual Notes

There are assumptions regarding the type of flow and the geometry of the nozzle that may affect the calculations. The relationship between pressure, velocity, and density is discussed, but the implications of these factors are not fully explored.

jonnyr
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I am trying to determine the velocity of a liquid. The density of the liquid is .885 g/cm3. The pressure at which it is being forced is 17236.89 kpa. What else do I need to know? I am looking for a formula to help me in other calculations with different pressures and densities. Thanks in advance for any help.
 
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I assume it is being forced out of a nozzle or hole at that pressure. (Is that the total pressure or pressure above atmospheric?) The main other detail you need is the area of the hole/nozzle, though there is a difference between the measured area and the 'effective' area. That difference can depend on the internal geometry of the container.
 
Yes it is being sprayed from a nozzle in this case which is .16mm per hole and a total of 8 holes. The pressure is total.
 
Correction, you don't need the area - was thinking of a different problem.
Pressure P, velocity V, density D, area A. Power = P.A.V = A.V.D.(V2/2), V2 = 2P/D.
 

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