Exterior Stokes flows with stick-slip boundary conditions
type: Item
instance of: scholarly article
title: Exterior Stokes flows with stick-slip boundary conditions
zbMATH Open document ID: 1004.76021
author: D. Palaniappan
author: Prabir Daripa
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2002-06-17T00:00:00Z
review text: Steady two-dimensional creeping flows induced by line singularities in the presence of an infinitely long circular cylinder with stick-slip boundary conditions are modeled by the following boundary value problem written in polar coordinates \((r,\theta): \nabla ^{4}\psi =0\) in \(r>a\), \(\psi =0\) and \(\frac{\partial \psi }{\partial r}=\lambda r\frac{\partial }{\partial r}(\frac{1}{r}\frac{\partial \psi }{\partial r})\) on \(r=a\), where \(a\) is the radius of the cylinder, and \(\lambda \) is a given positive constant. Using Fourier series, the author solves this problem.
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M22
zbMATH DE Number: 1756848
zbMATH Keywords: Stokes flow
zbMATH Keywords: source
zbMATH Keywords: rotlet
zbMATH Keywords: Stokeslet
zbMATH Keywords: steady two-dimensional creeping flows
zbMATH Keywords: line singularities
zbMATH Keywords: infinite long circular cylinder
zbMATH Keywords: stick-slip boundary conditions
zbMATH Keywords: boundary value problem
zbMATH Keywords: polar coordinates
zbMATH Keywords: Fourier series
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
full work available at URL: s00033-002-8156-5
OpenAlex ID: W1514382139
DOI: 10.1007/S00033-002-8156-5
description: scientific article; zbMATH DE number 1756848