Exact Solution for the Stokes Problem of an Infinite Cylinder in a Fluid with Harmonic Boundary Conditions at Infinity

Simple item page
dc.creatorVollmayr, Andreas N.
dc.creatorFranosch, Jan-Moritz P.
dc.creatorvan Hemmen, J. Leo
dc.date2008-03-31
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:31:57Z
dc.date.available2026-07-07T09:31:57Z
dc.descriptionWe present an exact solution for the time-dependent Stokes problem of an infinite cylinder of radius r=a in a fluid with harmonic boundary conditions at infinity. This is a 3-dimensional problem but, because of translational invariance along the axis of the cylinder it effectively reduces to a 2-dimensional one. The Stokes problem being a linear reduction of the full Navier-Stokes equations, we show how to satisfy the no-slip boundary condition at the cylinder surface and the harmonic boundary condition at infinity, exhibit the full velocity field for radius r>a, and discuss the nature of the solutions for the specific case of air at sea level.
dc.descriptionMinor corrections with respect to typos and readability
dc.identifierhttps://arxiv.org/abs/0804.0023
dc.identifierhttp://arxiv.org/abs/0804.0023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158641
dc.subjectMathematical Physics
dc.subject76D07; 35Q30
dc.titleExact Solution for the Stokes Problem of an Infinite Cylinder in a Fluid with Harmonic Boundary Conditions at Infinity
dc.typetext

Files

Collections

arXiv