Bifurcation of poloidal field in the flow induced by a radial electric current
type: Item
instance of: scholarly article
title: Bifurcation of poloidal field in the flow induced by a radial electric current
zbMATH Open document ID: 0797.76098
DOI: 10.1007/BF01051201
author: A. A. Petrunin
author: Vladimir Shtern
published in: Fluid Dynamics
publication date: 1994-04-12T00:00:00Z
review text: A study is made of the steady-state flow of a viscous conducting incompressible fluid in a half-space, induced by an electric current spreading from a point source on a solid surface. There is a critical finite value of the current at which the velocity on the axis becomes infinite. It is shown that for a high-conductivity medium bifurcation of a new MHD regime with nonzero poloidal field and rotation takes place for arbitrarily large values of the current. The axisymmetric MHD dynamo effect detected does not contradict the Cowling-Braginskii ``antidynamo'' theorem, since the conditions of the theorem are not fulfilled.
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76E25
zbMATH DE Number: 536817
zbMATH Keywords: infinitely narrow turbulent jet
zbMATH Keywords: incompressible fluid
zbMATH Keywords: point source
zbMATH Keywords: axisymmetric MHD dynamo effect
zbMATH Keywords: Cowling-Braginskii ``antidynamo'' theorem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 536817