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A Can someone explain this plot of the Orr Sommerfeld equation?

  1. Feb 2, 2017 #1
    This is a plot for understanding the stability of flows through the orr sommerfeld equation.
    However, I find it really hard to understand. The plot by itself is a little weird, what is it trying to convey?


    Spectrum_OS.jpg
     
  2. jcsd
  3. Feb 2, 2017 #2

    boneh3ad

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    I feel like I typically see these two axes flipped, but the image is a representation of the eigenvalue spectrum where ##Im(\lambda)## is a frequency and ##Re(\lambda)## is a growth rate (as generally ##c## is assumed to be complex, ##c = c_r + ic_i##). If ##Re(\lambda) > 0## then that eigenvalue is unstable.
     
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