Hydrostatic pressure in the Bernoulli Equation

  • #1
JJBladester
Gold Member
286
2

Homework Statement



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

Homework Equations



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

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

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?
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
251
Hi JJBladester! :smile:
Is this just because we're selecting a coordinate system where the vertical direction faces up instead of down?
Yes, h = -z. :wink:
What physical significance does this have?
erm :redface: … swim the way the bubbles go? o:)
 

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