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Homework Help: Atmospheric Physics: Brunt Vaisala frequency question

  1. Apr 13, 2016 #1
    1. The problem statement, all variables and given/known data

    Gravity Waves. Consider a pattern of motion in which fluid elements move at an angle θ to the vertical. Show that for an atmosphere where the Brunt-Vaisala frequency is ωB the elements will oscillate with a frequency ν = N cos θ.

    2. Relevant equations

    28d339e8035906dbe3ba6001beade973.png , -Brunt Vaisala frequency,
    g= gravity
    θ = potential temperature

    v= N cos θ -desired frequency of oscillation of the elements.

    N= Brunt Vaisala frequency
    θ = angle in rads (I know it's confusing here but wikipedia linked theta for potential temperature and I don't know how to make equations yet).

    3. The attempt at a solution

    Is ωB supposed to be something?

    So I know that the Brunt-Vaisala frequency is the buoyancy frequency, is it just a frequency with respect to the vertical?

    In which case the answer is just to multiply N by cosθ? This could be it, but the part where they define N=ωB confuses me, though there is more to the question.
  2. jcsd
  3. Apr 18, 2016 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
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