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Thread: Fluid velocity profile shape calculation

  1. #1
    Associate Engineer
    Join Date
    Feb 2020
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    Fluid velocity profile shape calculation

    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:

    Development_of_fluid_flow_in_the_entrance_region_of_a_pipe.jpg

    Reference: [URL="https://en.wikipedia.org/wiki/Entrance_length_(fluid_dynamics)"]h[/URL][URL="https://en.wikipedia.org/wiki/Entrance_length_(fluid_dynamics)"]ttps://en.wikipedia.org/wiki/Entrance_length_(fluid_dynamics)[/URL]

    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 fully-developed 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 much larger space after being fully 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?

    Please let me know if anything needs clarification.

    Thank you.
    Last edited by dmayorga; 03-17-2021 at 11:17 PM.

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