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The flow of a conducting fluid past a magnetized cylinder

The flow of a conducting fluid past a magnetized cylinder THE FLOW OF A CONDUCTING FLUID PAST A MAGNETIZED CYLINDER J. D. MUBEAY and LAN-KEH CHI 1. Introduction. In [1] and [2] the flow of a conducting fluid past a magnetized sphere was considered. The magnetic distribution was an arbitrary axially symmetric one. The magnetic field, velocity, vorticity and drag were evaluated for the particular case of a dipole field when the dipole was in the free stream flow direction. Astronomically the more interesting case is that in which the dipole is perpendicular to the free stream flow. The axially symmetric nature of the problem is thereby lost. In this paper explicit results are obtained for the magnetic field distribution when a dipole at arbitrary angle <f> to the mainstream is situated at the centre of a circular cylinder of arbitrary conductivity. The method is developed for the flow of an incompressible, inviscid fluid past a cylinder in which there is a general magnetic distribution. The vorticity and drag are evaluated specifically for a dipole a t angle \n to the main stream. No difficulties appear for a general magnetic distribu- tion. As in [1] and [2] only weak fields and small fluid conductivity are considered and first order http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematika Wiley

The flow of a conducting fluid past a magnetized cylinder

Mathematika , Volume 7 (1) – Jun 1, 1960

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References (1)

Publisher
Wiley
Copyright
© University College London
ISSN
0025-5793
eISSN
2041-7942
DOI
10.1112/S0025579300001595
Publisher site
See Article on Publisher Site

Abstract

THE FLOW OF A CONDUCTING FLUID PAST A MAGNETIZED CYLINDER J. D. MUBEAY and LAN-KEH CHI 1. Introduction. In [1] and [2] the flow of a conducting fluid past a magnetized sphere was considered. The magnetic distribution was an arbitrary axially symmetric one. The magnetic field, velocity, vorticity and drag were evaluated for the particular case of a dipole field when the dipole was in the free stream flow direction. Astronomically the more interesting case is that in which the dipole is perpendicular to the free stream flow. The axially symmetric nature of the problem is thereby lost. In this paper explicit results are obtained for the magnetic field distribution when a dipole at arbitrary angle <f> to the mainstream is situated at the centre of a circular cylinder of arbitrary conductivity. The method is developed for the flow of an incompressible, inviscid fluid past a cylinder in which there is a general magnetic distribution. The vorticity and drag are evaluated specifically for a dipole a t angle \n to the main stream. No difficulties appear for a general magnetic distribu- tion. As in [1] and [2] only weak fields and small fluid conductivity are considered and first order

Journal

MathematikaWiley

Published: Jun 1, 1960

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