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• # Fluid velocity profile shape calculation

Discussion in 'Calculations' started by chibifibi, Mar 19, 2021.

1. ### chibifibiNew Member

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Hello,

I have two (2) questions:

I understand that for a fully-developed velocity profile for a fluid, the shape it takes resembles a parabola. However, it does not start out this way before entering the pipe/launder/duct/etc. A visual of this transition is provided below:

Reference: https://en.wikipedia.org/wiki/Entrance_length_(fluid_dynamics)

Q1) Is there an equation, or set of equations, that help determine the shape of the velocity profile as it changes shape as it travels down the pipe/launder/duct/etc.?

Q2) Is there a different set of equations to then take the final flow profile from this pipe/launder/duct/etc. and apply to it the wall-shear effects of a much larger pipe/launder/duct/etc.? Meaning, the flow suddenly enters a much larger space after being developed in a smaller space. Would I be able to determine the shape of the velocity profile as it travels and transforms in this new space? (I am assuming that both the larger and the smaller pipes/launders/ducts/etc. are axisymmetric.)

Please let me know if anything needs clarification.

Thank you.

2.

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