The transient Stokes flow induced by a point source of electric current
type: Item
instance of: scholarly article
title: The transient Stokes flow induced by a point source of electric current
zbMATH Open document ID: 0586.76179
DOI: 10.1007/BF02337056
author: O. O. Ajayi
published in: Meccanica
publication date: 1985-01-01T00:00:00Z
review text: The development of the magnetohydrodynamic Stokes flow field due to the discharge of an electric current from a point into a viscous incompressible fluid bounded by a hemispherical bowl is investigated. We also discussed, as a special case, the flow induced for the case when the radius of the hemispherical bowl becomes infinitely large and showed that the time taken to establish the steady state flow in the interior of the hemisphere is reduced by a factor of ten compared with the situation where the flow takes place in a semi-infinite fluid. Our solution is analytic as compared with the existing numerical solution.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 3941169
zbMATH Keywords: analytic solution
zbMATH Keywords: magnetohydrodynamic Stokes flow field
zbMATH Keywords: discharge of an electric current
zbMATH Keywords: hemispherical bowl
zbMATH Keywords: steady state flow
zbMATH Keywords: semi-infinite fluid
zbMATH Keywords: numerical solution
MaRDI profile type: Publication
cites work: Fluid motions due to an electric current source
cites work: On fluid motions induced by an electric current source
cites work: The development of magnetohydrodynamic flow due to an electric current discharge
cites work: Magnetohydrodynamic flow due to the discharge of an electric current in a hemispherical container
description: scientific article; zbMATH DE number 3941169