1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Continuity Equation

  1. Jul 23, 2007 #1
    I have this one as well, using the continuity equation to explain how a jet engine provides a foward thrust for an airplane. I have the equation but can some one explain this to me in laymen's terms.

    [tex]
    \frac{\partial\rho\left(\vec{r},t\right)}{\partial t}+\nabla\cdot\left[\rho\left(\vec{r},t\right)\vec{v}\left(\vec{r},t\right)\right]= 0[/tex]

    Thanks in advance for your help.

    Kris
     
    Last edited: Jul 23, 2007
  2. jcsd
  3. Jul 23, 2007 #2

    Astronuc

    User Avatar

    Staff: Mentor

    The continuity equation is an equation related to conservation of mass.

    The rate of change of density (in a constant volume) is equal the net mass flux across the boundary of a differential volume.

    If the net flux is zero, i.e. the mass flow in = mass flow out, then there is no change in density (and no accumulation or decrease in mass) in a fixed volume.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Continuity Equation
  1. Continuity equation (Replies: 6)

  2. Continuity Equation (Replies: 11)

  3. Equation of Continuity (Replies: 10)

  4. Equation of continuity (Replies: 4)

Loading...