Wind-induced perturbations of the surface of a viscous fluid
type: Item
instance of: scholarly article
title: Wind-induced perturbations of the surface of a viscous fluid
zbMATH Open document ID: 0541.76032
DOI: 10.1016/0021-8928(81)90035-6
author: M. V. Zavolzhenskij
published in: Journal of Applied Mathematics and Mechanics
publication date: 1982-01-01T00:00:00Z
review text: The author considers time-dependent interacting perturbations of a heavy incompressible fluid (ocean water) by a steady motion of a light incompressible fluid (air flow) in two dimensions. The linearized Navier- Stokes equations are simplified by first-order perturbation methods using various perturbation parameters. Two major examples are investigated in detail. In the first case, both fluids occupy each a half space. Surface waves of the lower heavy fluid are generated by a steady wind velocity prescribed at some assumed height above the interacting surface. In the second case, the lower heavy fluid layer is assumed of constant depth. The surface waves are generated by a prescribed constant surface stress acting on the perturbed fluid layer. The corresponding simplified equations are solved by appropriate integral transform techniques. A comparison with actual wind-induced water waves would have been helpful.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 3860667
zbMATH Keywords: time-dependent interacting perturbations
zbMATH Keywords: ocean water
zbMATH Keywords: air flow
zbMATH Keywords: two dimensions
zbMATH Keywords: linearized Navier-Stokes equations
zbMATH Keywords: first-order perturbation methods
zbMATH Keywords: both fluids occupy each a half space
zbMATH Keywords: constant depth
zbMATH Keywords: integral transform techniques
zbMATH Keywords: wind-induced water waves
MaRDI profile type: Publication
full work available at URL: 0021-8928(81)90035-6
OpenAlex ID: W2028894251
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description: scientific article; zbMATH DE number 3860667