Layered von Kármán's swirling flow
type: Item
instance of: scholarly article
title: Layered von Kármán's swirling flow
zbMATH Open document ID: 1062.35069
author: Milan Miklavčič
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-10T00:00:00Z
review text: The author examines the Navier-Stokes equations describing a swirling flow consisting of two fluid layers. It is assumed that the fluid is injected into the swirl in the bottom layer from a rotating disk when the disk melts in ambient fluid and the melted fluid is removed by centrifugal forces. By using similarity transformation, the problem is reduced to a boundary value problem for a system of two ordinary differential equations. The existence of the solution is proved by shooting method.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 2085907
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: similarity transformation
zbMATH Keywords: shooting method
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.01.030
OpenAlex ID: W2004942518
cites work: A Note on the Existence of Certain Viscous Flows
cites work: Von Kármán's swirling flow problem
cites work: Q4113522
cites work: The existence of similar solutions for some laminar boundary layer problems
cites work: Q4220655
cites work: The flow due to a rough rotating disk
cites work: On the existence of an exact solution of the equations of Navier-Stokes
cites work: Q3766999
DOI: 10.1016/J.JMAA.2004.01.030
description: scientific article; zbMATH DE number 2085907