hwk9 - Physics 762 Homework#9 Spring ’11 Dr Drake 1 Solve...

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Unformatted text preview: Physics 762 Homework #9 Spring ’11 Dr. Drake 1. Solve the differential equation derived in class to show that the dispersion relation for the Kelvin Helmholtz instability for the ramped velocity profile discussed in class is given by γL vm 2 1 1 + (kL − )2 − e−4kL = 0 2 4 (1) 2. Plot the normalized growth rate γL/vm versus kL. Determine the value of kL that marks the stability boundary. ...
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