How can the velocity at points of change in pipe systems be determined?

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Discussion Overview

The discussion revolves around determining the velocity at points of change in pipe systems, particularly focusing on how to calculate velocities when there are variations in pipe diameter or direction. It touches on concepts related to minor losses, pressure drops, and the iterative processes involved in these calculations.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant notes that for minor losses, the pressure drop is equal to the dynamic pressure multiplied by the loss coefficient, questioning how to determine the velocity at points of change since it varies.
  • Another participant suggests that if the volumetric flow rate is known, it can be divided by the cross-sectional area of the pipe to find the velocity, indicating that the approach may depend on available information.
  • A different participant highlights that the definition of the loss coefficient can affect calculations, as it may refer to either the velocity coming out or the upstream velocity.
  • One participant raises a question about general conventions in these calculations and expresses a need to relate the discussion to reservoirs and entrance flows, suggesting that assumptions may be necessary based on geometrical considerations.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the calculation of velocities at points of change, with no consensus reached on a single method or convention.

Contextual Notes

Participants mention the need for assumptions regarding head losses based on geometries, indicating that the discussion may involve unresolved mathematical steps and dependencies on specific definitions.

pipedown
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For minor losses, I read that the pressure drop is equal to the dynamic pressure * loss coefficient. However, in calculating dynamic pressure, it uses a single velocity. How do you determine this velocity when it will vary at the point of change in pipe diameter or direction? I have read somewhere that it would be a mean velocity between the two sides of the change, but how can this be determined? It seems that in these pipe systems, the head loss must be calculated for the system to determine velocities before a mean velocity at these points can be calculated. Is an iterative process the only way to achieve this or am I missing something?
 
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If you know the volumetric flow rate you can just divide it by the cross-sectional area of the pipe. It really depends on what information you have about the system, sometimes you will have to find the answer through iteration and sometimes you may need to use a table.
 
Actually this depends on how the coefficient is defined. Usually the table you grab it from will tell you if they are referring to the velocity coming out, or the upstream velocity.
 
Is there a general convention? I am also trying to figure out how to relate this in terms of reservoirs/tanks and entrance flows, though I am starting to see that I should be making assumptions for certain head losses based on relative geometries
 

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