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Hydrostatic pressure in the Bernoulli Equation

  1. Apr 2, 2012 #1

    JJBladester

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    Gold Member

    1. The problem statement, all variables and given/known data

    The hydrostatic pressure term in the Bernoulli equation (ρgz) decreases with fluid depth. Why?

    2. Relevant equations

    Bernoulli Equation (multiplied by density ρ to give us pressure units):

    [tex]P+\rho\frac{V^2}{2}+\rho gz=constant[/tex]

    3. The attempt at a solution

    In the hydrostatics chapter in my book, hydrostatic pressure, ρgh, increases with depth. However, in the Bernoulli equation, the hydrostatic pressure term ρgz decreases with depth.

    Is this just because we're selecting a coordinate system where the vertical direction faces up instead of down?

    What physical significance does this have?
     
  2. jcsd
  3. Apr 3, 2012 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi JJBladester! :smile:
    Yes, h = -z. :wink:
    erm :redface: … swim the way the bubbles go? o:)
     
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