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What scaling law does the two-dimensional isotropic turbulent energy spectrum satisfy as k tends to 0?

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Final answer:

The two-dimensional isotropic turbulent energy spectrum satisfies the Kolmogorov scaling law as k tends to 0.

Step-by-step explanation:

In two-dimensional isotropic turbulent flow, the energy spectrum follows a power-law scaling as the wavenumber k tends to 0. This scaling law is known as the Kolmogorov scaling law. It states that the energy spectrum E(k) is proportional to k^(-5/3).

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