Consider the emission of quadrupolar soundwaves by a Kolmogorov spectrum of free turbulence. Show that the power

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Consider the emission of quadrupolar soundwaves by a Kolmogorov spectrum of free turbulence. Show that the power radiated per unit frequency interval has a spectrum

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Also show that the total power radiated is roughly a fraction M5 of the power dissipated in the turbulence, where M is the Mach number.

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