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Homework Help: Velocity of flow (V) Vs. Flow (Q)

  1. Nov 4, 2011 #1
    1. The problem statement, all variables and given/known data
    Something I cannot seem to understand is this:

    When looking at the velocity of flow (V), if I were to increase radius (r) that would mean I increase the cross sectional area (A) which means I decrease V.
    Yet at the same time if I were to increase radius (r) I would decrease resistance (R) and my flow would increase (Q).

    I do not understand how this is possible. That if I increase flow (Q) that my velocity decreases when the radius is increased? Are the 2 equation independent of one another?

    2. Relevant equations

    V = Q/A where A = ∏r^2

    Q = ΔP/R where R = (8ηl)/∏r^4
  2. jcsd
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