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Slender-ship shallow-water flow past a slowly varying bottom

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Summary

The unsteady subcritical potential flow of a slender ship moving past a slowly varying bottom in shallow water is analyzed using the methods of matched asymptotic expansions and multiple scales. The hydrodynamic pressure field on the ship is obtained to second order in the slenderness parameter.

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On leave from Aerospace Engineering Department, University of Maryland, College Park, Maryland, USA.

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Plotkin, A. Slender-ship shallow-water flow past a slowly varying bottom. J Eng Math 11, 289–297 (1977). https://doi.org/10.1007/BF01537089

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  • DOI: https://doi.org/10.1007/BF01537089

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