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33845761126
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note
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Hide (Ref. 19) independently found the same formula by using a variational method. After this publication Ride (Ref. 20) pointed out that Hide's derivation of Eq. (23) was in error and published a corrected version that resulted in a less accurate approximation than Eq. (23). More recently, Mikaelian (Ref. 16) obtained Eq. (23) by using a moment equation approach that used the inviscid velocity field approximation that we have used here and that was also used by Hide and Ride [Eq. (19) with q ≈ k]. Mikaelian has shown that the other approximations introduced in Hide's derivation were consistent with using such a velocity field and demonstrated that Hide's derivation was actually correct.
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