Perturbation analysis for the surface deflection angle of Ekman-type flows with variable eddy viscosity
type: Item
instance of: scholarly article
title: Perturbation analysis for the surface deflection angle of Ekman-type flows with variable eddy viscosity
zbMATH Open document ID: 1471.34051
author: Luigi Roberti
published in: Journal of Mathematical Fluid Mechanics
publication date: 2021-06-01T00:00:00Z
review text: This paper deals with a formula for the change of the surface deflection angle due to a perturbation (in the upper layer) of a given eddy viscosity profile in the setting of steady wind-driven oceanic currents in a non-equatorial two-layer ocean with constant eddy viscosity in the lower layer and a general continuous eddy viscosity profile in the upper layer. To this end, the author furnishes an useful reformulation of a recent linear second-order governing equations for Ekman-type flows as a nonlinear first-order Riccati-type equation. An example is given to illustrate the result obtained.
reviewed by: P. Candito
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 7353352
zbMATH Keywords: boundary-value problem
zbMATH Keywords: viscous flow
zbMATH Keywords: deflection angle
zbMATH Keywords: perturbation analysis
MaRDI profile type: Publication
full work available at URL: s00021-021-00586-y
OpenAlex ID: W3157532717
cites work: Frictional effects in wind-driven ocean currents
cites work: Equatorial wave-current interactions
cites work: The dynamics of waves interacting with the Equatorial Undercurrent
cites work: Periodic equatorial water flows from a Hamiltonian perspective
cites work: The Ekman spiral for piecewise-constant eddy viscosity
cites work: Atmospheric and Oceanic Fluid Dynamics
DOI: 10.1007/S00021-021-00586-Y
Recommended article: The surface current of Ekman flows with time-dependent eddy viscosity
Recommended article: The Ekman spiral for piecewise-constant eddy viscosity
Recommended article: The Ekman spiral for two types of eddy viscosities
Recommended article: Analysis of an eddy viscosity model for large eddy simulation of turbulent flows
Recommended article: A dynamic framework for functional parameterisations of the eddy viscosity coefficient in two-dimensional turbulence
Recommended article: On the flow of non-axisymmetric perturbations of cylinders via surface diffusion
Recommended article: On perturbations of a tangential discontinuity surface between two non-uniform flows of an ideal incompressible fluid
Recommended article: On Stokes flow with variable and degenerate surface tension coefficient
Recommended article: Estimation of eddy viscosity coefficient in a periodic shallow water equation
Recommended article: On the instability of Ekman boundary‐layer flow over a rough disk with a wavy surface profile
description: scientific article; zbMATH DE number 7353352