Summary
The final period of decay of homogeneous turbulence in a weakly conducting rotating fluid in the presence of a magnetic field is investigated. By asymptotic expansion techniques, the expressions of the kinetic and magnetic energy tensors are established. After a first stage similar to the non-rotating case, it is shown that modulated plane turbulence occurs when both the applied magnetic field and the axis of rotation are parallel.
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References
B. Lehnert, The decay of magneto-turbulence in the presence of a magnetic field and Coriolis force,Quart. Appl. Math., 12 (1955) 321.
R. G. Deissler, Magneto-fluid dynamic turbulence with a uniform imposed magnetic field,Phys. Fluids, 6 (1963) 1250.
G. K. Batchelor and I. Proudman, The large-scale structure of homogeneous turbulence,Phil. Trans., A, 248 (1956) 369.
N. Alexandrou,The large-scale structure of decaying homogeneous magnetoturbulence in the presence of an uniform magnetic field, Ph. D. Thesis, London, 1963.
J. C. J. Nihoul, Inhibition of turbulence by an applied magnetic field,Research Monographs on Mechanics and Space Science, in Magnetohydrodynamics, 1 (1965).
J. C. J. Nihoul, Magnetodynamic turbulence at low magnetic Reynolds number,Tellus, 19, 4 (1967) 635.
G. S. Golitsyn,Soviet Phys. Doklady, 5 (1960) 536;Dokl. Akad. Nauk SSSR, 132, 2 (1960) 315.
P. G. Saffman, The large-scale structure of homogeneous turbulence,J. Fluid Mech., 27, 3 (1967) 581.
S. D. Hassan, On the large scale structure of hydromagnetic homogeneous turbulence,J. de Mécanique, 6, 2 (1967) 179.
C. J. Frankignoul,Lois asymptotiques de la décroissance de la turbulence magnétohydrodynamique en présence d'une force de Coriolis, Thèse d'Ingénieur en Math. Appliquées, Université de Liège, 1968.
A. Erdelyi,Asymptotic expansions, Dover Publication Inc., New York, 1956.
J. C. J. Nihoul, Asymptotic law of decay of homogeneous magnetoturbulence,Phys. Fluids, 9, 12 (1966) 2370.
G. Veronis, Analogous behaviour of homogeneous rotating fluids and stratified, non-rotating fluids,Tellus, 19, 2 (1967) 326.
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Frankignoul, C.J. On an asymptotic case of plane turbulent motion of a weakly conducting rotating fluid in the presence of a magnetic field. J Eng Math 3, 165–172 (1969). https://doi.org/10.1007/BF01535165
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DOI: https://doi.org/10.1007/BF01535165