Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-04-30T10:53:06.126Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetic-flux transport by a convecting layer – topological, geometrical and compressible phenomena

Published online by Cambridge University Press:  20 April 2006

Wayne Arter
Wayne Arter
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW Present address: Theoretical Physics Division, UKAEA/Culham Laboratory, Abingdon, Oxfordshire OX14 3DB, England.
Get access Rights & Permissions [Opens in a new window]

Abstract

Numerical calculations by Drobyshevski & Yuferev (1974) of the redistribution of magnetic flux by a Bénard layer with cells of square planform have been extended to higher values of electrical conductivity and to other velocity patterns, using a computer code developed for another purpose. Reconnection does not proceed as they supposed, but leads to overall field enhancement, and although the energy is greater at the bottom, there is as much unsigned flux in the upper half as in the lower half of the layer. However, compressible velocity patterns can concentrate flux at their bases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 25 - 48
Copyright
© 1983 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arter, W. 1982 Topological magnetic flux pumping revisited. In Proc. IAU Symp. no. 102 (ed. J. O. Stenflo). To appear.Google Scholar
Arter, W., Galloway, D. J. & Proctor, M. R. E. 1982 New results on the mechanism of magnetic flux pumping by three-dimensional convection. Mon. Not. R. Astron. Soc. 201, 57P–61P.Google Scholar
Arter, W. 1983 Non-linear convection in an imposed horizontal magnetic field. Geophys. Astrophys. Fluid Dyn. (in press).Google Scholar
Busse, F. H. 1977 Convection in rotating stars. In Problems of Stellar Convection (ed. E. A. Spiegel & J.-P. Zahn), Lecture notes in Physics, vol. 71, p. 157–175. Springer.
Busse, F. H. 1978 Non-linear properties of thermal convection Rep. Prog. Phys. 41, 1929–1967.Google Scholar
Childress, S. 1979 Alpha-effect in flux ropes and sheets Phys. Earth Planet. Int. 20, 172–180.Google Scholar
Cowling, T. G. 1982 The present status of dynamo theory Ann. Rev. Astron. Astrophys. 19, 115–135.Google Scholar
Danielson, R. E. 1961 The structure of sunspot penumbras II. Theoretical Astrophys. J. 134, 289–311.Google Scholar
Drobyshevski, E. M. 1977 Magnetic field transfer by two-dimensional convection and solar ‘semi-dynamo’. Astrophys. Space Sci. 46, 41–49.Google Scholar
Drobyshevski, E. M., Kolesnikova, E. N. & Yuferev, V. S. 1980 The rate of magnetic field penetration through a Bénard convection layer J. Fluid Mech. 101, 65–78.Google Scholar
Drobyshevski, E. M. & Yuferev, V. S. 1974 Topological pumping of magnetic flux by three-dimensional convection J. Fluid Mech. 65, 33–44.Google Scholar
Galloway, D. J. & Proctor, M. R. E. 1982 Flux expulsion in hexagons. In Planetary and Stellar Magnetism (ed. A. M. Soward). Gordon & Breach.
Galloway, D. J. & Proctor, M. R. E. 1983 The kinematics of hexagonal magneto convection. Geophys. Astrophys. Fluid Dyn. (in press).Google Scholar
Galloway, D. J. & Weiss, N. O. 1981 Convection and magnetic fields in stars Astrophys. J. 243, 945–953.Google Scholar
Gaunt, W. A. & Gaunt, P. N. 1978 Three-dimensional Reconstruction in Biology. Pitman.
Gilman, P. A. 1978 Linear simulations of Bossinesq convection in a deep rotating spherical shell J. Atmos. Sci. 32, 1331–1352.Google Scholar
Gilman, P. A. 1980 Global circulation of the sun: where are we and where are we going? In Highlights of Astronomy, vol. 5 (ed. P. A. Wayman), pp. 19–37. Reidel.
Gilman, P. A. 1982 Convective dynamos for rotating stars. Unpublished manuscript.
Gilman, P. A. & Miller, J. 1981 Dynamically consistent non-linear dynamos driven by convection in a spherical rotating shell Astrophys. J. Suppl. 46, 211–238.Google Scholar
Hide, R. 1979 On the magnetic flux linkage of an electrically conducting fluid Geophys. Astrophys. Fluid Dyn. 12, 171–176.Google Scholar
Hockney, R. W. & Jesshope, C. R. 1981 Parallel Computers. Adam Hilger.
Krause, F. & RÄDLER, K.-H. 1980 Mean-field Magnetohydrodynamics and Dynamo Theory. Pergamon.
Mcintosh, P. S. 1981 The birth and evolution of sunspots: observations. In The Physics of Sunspots (ed. L. E. Cram & J. H. Thomas), pp. 7–54. Sacramento Peak Observatory.
Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.
Parker, E. N. 1975 The escape of magnetic flux from a turbulent body of gas Astrophys. J. 202, 523–527.Google Scholar
Parker, E. N. 1979 Cosmical Magnetic Fields. Clarendon.
Parker, E. N. 1982 The flux ejection dynamo effect Geophys. Astrophys. Fluid Dyn. 20, 165–189.Google Scholar
Parker, R. L. 1966 Reconnection of lines of force in rotating spheres and cylinders. Proc. R. Soc. Lond. A 291, 60–72.Google Scholar
Proctor, M. R. E. 1975 Non-linear mean field dynamo models and related topics. Ph. D. thesis, University of Cambridge.
Proctor, M. R. E. & Weiss, N. O. 1982 Magnetoconvection Rep. Prog. Phys. 45, 1317–1379.Google Scholar
Roberts, K. V. & Weiss, N. O. 1966 Convective difference schemes Math. Comp. 20, 272–299.Google Scholar
Vainshstein, S. I. 1978 Magnetohydrodynamic effects in a turbulent medium having nonuniform density. Mag. Gidrodin. 1, 45–50 [English transl. Magnetohydrodyn. 1, 36–41].Google Scholar
Weiss, N. O. 1966 The expulsion of magnetic flux by eddies. Proc. R. Soc. Lond. A 293, 310–328.Google Scholar
Weiss, N. O. 1981 Convection in an imposed magnetic field. Part 1. The development of non-linear convection J. Fluid Mech. 108, 247–272.Google Scholar