Abstract
The influence of a uniform magnetic field on an electrically conducting fluid generally yields greater stability and delays the appearance of turbulence. Schematically, this is due to the fact that, in general, perturbations induce eddy currents, whose energy is dissipated by Joule heating. In this chapter, we intend to analyse this phenomenon specifying how the critical conditions depend on the applied magnetic field and discussing the specific features of the perturbations which can nevertheless exist in the presence of a magnetic field.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Alemany A., Moreau R., Sulem P. L. and Frisch U., 1979, J. de Méca. Th. et Appl., vol. 18, p. 277
Batchelor G. K., 1969, Phys. Fluids Suppl., vol. 12, p. II - 233
Block M. J., 1956, Nature, vol. 178, p. 650
Branover H. H. and Lielausis O. A., 1965, Zh. Tekh. Fiz., t. 35, p. 235
Branover H. H. and Gershon P., 1979, J. Fluid Mech., vol. 94, p. 629
Branover H. H. and Lielausis O. A., 1965, Zh. Tekh. Fiz., t. 35, p. 235
Brouillette E. C. and Lykoudis P. S., 1967, Phys. Fluids, vol. 10, p. 995
Chandrasekhar S., 1961, Hydrodynamic and Hydromagnetic Stability, Oxford Univ. Press
Comte-Bellot G. and Cousin S., 1965, J. Fluid Mech., vol. 25, p. 657
Descloux J. and Romerio M. V., 1989, Liquid Metal MHD. J.
Lielpeteris and R. Moreau, Kluwer Acad. Pub., p. 213
Gardner R. A. and Lykoudis P. S., 1971, J. Fluid Mech., vol. 47, p. 737
Gamier M. and Moreau R., 1982, J. Fluid Mech., vol. 127, p. 365
Gelfgat Yu. M., Kit L. G., Peterson D. A. and Tsinober A. B., 1971 (a), Magnitnaya Gidrodinamika, n°3, p. 35
Gelfgat Yu. M., Kit L. G. ant Tsinober A. B., 1971 (b), Dokl. Akad. Nauk SSSR, Vol. 199, p. 560
Hull J. R., Wiencek T. and Rote D. M., 1989, Phys. Fluids A, vol. 1, p. 1069
Hua H. M. and Lykoudis P. S., 1974, Nuclear Sci. Eng., vol. 54, p. 445
Kit L. G. and Platnieks I. A., 1971, Magnitnaya Gidrodynamika, no 3, p. 43
Kolesnikov Yu. B. and Tsinober A. B., 1974, Izvest. Akad. Nauk., Mech. Gidkost. i Gaza, n° 4, p. 146
Kraichnan R. H., 1967, Phys. Fluids, vol. 10, p. 1417
Lehnert B. and Little N. C., 1957, Tellus, vol. 9, p. 97
Lesieur M., 1987, Turbulence in Fluids, Kluwer Acad. Pub.
Lielausis O. A., 1975, Atomic Energy Review, vol. 13, p. 527
Loeffler A. L., Maciulaitis A. and Hoff M., 1969, Phys. Fluids, vol. 12, p. 2445
McHale E. J. and Melcher J. R., 1982, J. Fluid Mech., vol. 114, p. 27
Moffatt H. K., 1967, J. Fluid Mech., vol. 28, p. 571
Moreau R. and Evans J. W., 1984, J. Electrochem. Soc., Electrochem. Sc. and Techn., vol. 131, p. 2251
Moreau R. and Ziegler D., 1986, Light Metals, ed. R. E. Miller, p. 359
Moreau R., Pigny S. and Maslowe S. A., 1989, Liquid Metal MHD, . J. Lielpeteris and R. Moreau, Kluwer Acad. Pub., p. 197
Nakagawa Y., 1955, Nature, vol. 175, p. 417
Nakagawa Y., 1957, Proc. Roy. Soc. A, vol. 240, p. 108
Nakagawa Y., 1959, Proc. Roy. Soc. A vol., 249, p. 138
Pearson J. A. R., 1958, J. Fluid Mech., vol. 4, p. 489
Platnieks I. A. and Freibergs Ia. Z. 1972, Magnitnaya Gidrodynamika, no 2, p. 29
Sagardia S. R., 1974, Electromagnetic Levitation Melting of Large Conductive Loads,PhD Thesis,Toronto
Shercliff J. A., 1953, Proc. Camb. Phil. Soc., vol. 49, p. 136
Shercliff J. A., 1956, J. Fluid Mech., vol. 1, p. 644
Sneyd A. D., 1985, J. Fluid Mech., vol. 156, p. 223
Somméria J. and Moreau R., 1982, J. Fluid Mech., vol. 118, p. 507
Sonunéria J., 1986, J. Fluid Mech., vol. 170, p. 139
Somméria J., Nguyen-Duc J. M. and Capéran Ph., 1989, Liquid Metal MHD,J. Lielpeteris and R. Moreau, Kluwer Acad. Pub., p. 441
Sukoriansky S., Zilberman I. and Branover H. H., 1985, Single-and Multi-phase Flows in an Electromagnetic Field, Prog. in Astron. and Aeron.,H. H. Branover, P. L. Lykoudis and M. Mond, AIAA, New-York, vol. 100, p. 111
Sukoriansky S., Zilberman I. and Branover H. H., 1986, Experiments in Fluids, vol. 4, p. 11
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Moreau, R. (1990). Stability and turbulence. In: Magnetohydrodynamics. Fluid Mechanics and Its Applications, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7883-7_7
Download citation
DOI: https://doi.org/10.1007/978-94-015-7883-7_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4077-0
Online ISBN: 978-94-015-7883-7
eBook Packages: Springer Book Archive