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Why is the continuity equation called the continuity equation?

  1. Jan 12, 2007 #1
    Most of you are probably familiar with the continuity equation, but what does the term "continuity" mean? I mean, what is continous in the context of the continuity eq.?

    Just wondering...
  2. jcsd
  3. Jan 12, 2007 #2
    "Continuity" is similar in this sense to "conservation." Since the continuity equation (I'm guessing you're talking about the one in fluid dynamics) models an incompressible fluid, a certain volume of fluid must pass a section of a pipe in the same time everywhere in the pipe. You can see this from the units of each side of the equation: [itex]m^3/s[/itex], or "volume per unit time" (the flow rate) is always the same everywhere in the pipe.
    Last edited: Jan 13, 2007
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