Asymptotic expansions for the surface waves generated by a submerged body moving with rapidly oscillating velocity
type: Item
instance of: scholarly article
title: Asymptotic expansions for the surface waves generated by a submerged body moving with rapidly oscillating velocity
zbMATH Open document ID: 0692.76011
DOI: 10.1007/BF01051588
author: Nikolay Kuznetsov
published in: Fluid Dynamics
publication date: 1989-01-01T00:00:00Z
review text: The problem considered describes the waves generated by a completely submerged body whose velocity oscillates with a small period about a certain positive value. The first two terms of the formal two-scale asymptotic expansions in powers of the small velocity oscillation period are found for the velocity potential and the elevation of the free surface. These make it possible to write down asymptotic equations for the wave drag and other hydrodynamic characteristics. It is found that for writing the leading terms of the asymptotic expansions of the hydrodynamic characteristics averaged over the period it is insufficient to know the velocity potential describing the motion of the body with the mean velocity. The asymptotic expansions of the hydrodynamic characteristics obtained differ substantially from those for surface pressure moving with rapidly oscillating velocity and for a sharply accelerating submerged body.
Mathematics Subject Classification ID: 76B20
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 4133664
zbMATH Keywords: completely submerged body
zbMATH Keywords: formal two-scale asymptotic expansions
MaRDI profile type: Publication
cites work: Q5682682
cites work: Forward speed motions of a submerged body. The cauchy problem
description: scientific article; zbMATH DE number 4133664