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Change in flow / velocity direction and the Reynolds number

  1. Oct 19, 2009 #1

    I am interested in the relationship between changes in flow direction (and changes in flow velocity) and the Reynolds number.

    Reynolds number = (fluid density) * (velocity) * (tube length) / (viscosity)
    Reynolds number = (flow rate) * (tube length) / [(viscosity) * (cross-sectional area)]

    So, if the magnitude of the velocity vector remains the same, but the direction changes, how does this affect the Reynolds number? Would the velocity vector just be decomposed into the vertical (sine) and horizontal (cosine) components, and be analyzed independently? Or is there some way of taking the direction into account in the overall Reynolds equation?

    Also, is there a way of taking the angle of the change in direction into account when the tube curves in a single arc?

  2. jcsd
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