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

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Determining the velocity at points of change in pipe systems involves calculating dynamic pressure using a single velocity, which can be challenging due to variations at changes in diameter or direction. A mean velocity between the two sides of the change is often suggested, but its determination may require iterative calculations based on head loss. The volumetric flow rate can be divided by the pipe's cross-sectional area to find velocity, depending on available system information. The definition of the loss coefficient is crucial, as it may refer to upstream or downstream velocities, and conventions can vary. Assumptions about head losses related to geometries are necessary when considering reservoirs and entrance flows.
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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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