Skip to main content

Absolute and Convective MHD Stability of a Capillary Liquid Metal Jet with Azimuthal Velocity

  • Chapter
Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 51))

  • 389 Accesses

Abstract

The stability of a circular jet of an inviscid perfectly conductive liquid is investigated. The infinite jet is subject to surface tension, rigid rotation and axial magnetic field for high magnetic Reynolds number. The stability is governed by inertial, capillary and electromagnetic forces. A general analytical solution to the linearised problem is presented. In the first part, the temporal stability is analysed for large values of swirl, Weber and Alfvèn numbers. In the second part, the instability type (convective or absolute) is determined as a function of the different parameters by examining the spatial branch-point singularities of the dispersion relation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • BATCHELOR & GILL.(1967), Analysis of the stability of axisymmetricjets. J. Fluid Mech., 14, 529–551

    Article  Google Scholar 

  • CHANDRASEKHAR (1961) Hydrodynamic and Hydromagnetic stability Clarendon Press, Oxford

    Google Scholar 

  • LOISELEUX, MONKEWITZ, HUERRE (1998), The effect of swirl on jets and wakes. Phys. Fluid (in press)

    Google Scholar 

  • LEIB & GOLDSTEIN (1986), The generation of capillary instabilities on a liquid jet. J. Fluid Mech., 168, 479–500

    Article  Google Scholar 

  • MONKEWITZ, DAVIS., BOJORQUEZ, YU (1988), The breakup of a liquid jet at high Weber number. Bull. Amer. Phys. Soc., 33, 2273

    Google Scholar 

  • YAKUBENKO (1995), Absolute and convective instability of current-carrying jet of magnetic liquid. Eur. J Mech. B Fluids 14, 823

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Loueslati, K., Brancher, J.P. (1999). Absolute and Convective MHD Stability of a Capillary Liquid Metal Jet with Azimuthal Velocity. In: Alemany, A., Marty, P., Thibault, J.P. (eds) Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows. Fluid Mechanics and Its Applications, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4764-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4764-4_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6002-8

  • Online ISBN: 978-94-011-4764-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics