Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Fluid momentum equation in a rotating reference frame

  1. Sep 21, 2012 #1
    I'm reading this pdf:

    www.atm.ox.ac.uk/user/read/fluids/fluidsnotes7.pdf [Broken]
    (specifically equations 7.2 and 7.3 in the pdf)


    They derive the acceleration in the inertial frame in terms of the velocity seen in the rotating frame (7.2), then apply that equation of acceleration to the conservation of momentum equation and that's the equation of motion in the rotating reference frame.

    How come you don't also have to apply the equation [itex]\vec{u}_{I} = \vec{u}_{r} + \Omega \times \vec{r}[/itex] to all the instances of the velocity [itex]\vec{u}[/itex] in the conservation of momentum equation?

    Thanks
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted