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Do anybody know what is the long wavelength limit

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Old   February 1, 2005, 22:29
Default Do anybody know what is the long wavelength limit
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Yen
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What is the long wavelength(low wave number) limit in hydronamics? And the high-order effect is (short wavelength limit)?
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Old   February 2, 2005, 05:55
Default Re: Do anybody know what is the long wavelength li
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Tom
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As the name suggests it is the limit where the waves that propagate in the fluid are long compared to some characteristic length scale of the media. In water waves on a layer of finite (mean) depth H then the long wave limit is concerned with waves whose length L=(2.pi/k) is large compared to H; i.e. H/L << 1.

The short wave limit ( not the high order effect which is concerned with correction terms in the perturbation expansion ) has H/L >> 1.
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