How Analogous is Generation of Vorticity and Passive Vectors (Magnetic Fields)?
A brief account is presented on analogies between the processes of evolution of vorticity and magnetic field and related problems starting from the very beginning and including the most recent results. The emphasis is made on essential differences as contrasted to similarities. This is seen already on a purely kinematic level which is the main theme of this communication.
KeywordsVortex Anisotropy Steam Vorticity Steam Boiler
Unable to display preview. Download preview PDF.
- 3.Batchelor GK (1951) Magnetic fields and turbulence in a fluid of high conduc-tivity, in Problems of Cosmical Aerodynamics. In: Proceeding of a Symposium on “Problems of motion of gaseous masses of cosmical dimensions”, Paris, 16-19 August 1949, Central Air Documents Office, pp 149-155 It is noteworthy that among the participants of this Meeting were such prominent people as Alfven H., Burgers JM, Hoyle F, Kampé de Fériet J, von Karman Th, Liepmann H, von Neumann J, and Spitzer LGoogle Scholar
- 6.Schlüter A, Biermann L(1950) Interstellare Magnetfelder. Z Naturforsch 5a:237-251Google Scholar
- 8.Taylor GI (1938) Production and dissipation of vorticity in a turbulent fluid. Proc Roy Soc London A164:15-23Google Scholar
- 9.Helmholz H (1858) On integrals of the hydrodynamical equations which express vortex motion. Translated from Germain by Tait PG, 1867 with a letter by Lord Kelvin (Thomson W) in London Edinburgh Dublin Phil Mag J Sci, Fourth series 33:485-512Google Scholar
- 10.Kelvin Lord Thomson W (1880) Vibration of columnar vortex. London Edin-burgh Dublin Phil Mag J Sci, Fifth series 33:485-512; also (1910) in Mathemat-ical and physical papers, vol 4, Cambridge University PressGoogle Scholar
- 11.Landau LD, Lifshits EM (1957) Electrodynamics of continuous media, 1st edn. Nauka, Moscow. English thanslation by Pergamon in 1960Google Scholar
- 12.Landau LD, Lifshits EM (1981) Electrodynamics of continuous media, 2nd edn. Nauka, English thanslation by Pergamon in 1984Google Scholar
- 13.Kraichnan RH, Kimura Y (1994) Probability distributions in hydrodynamic turbulence. Progr Astron Aeronaut 162:19-27Google Scholar
- 17.Tsinober A (2005) On how different are genuine and “passive” turbulence. In: Peinke J et al. (eds). Progress in Turbulence, Springer, pp 31-36Google Scholar
- 22.Kinney RM, Chandran B, Cowley S, McWilliams JC (2000) Magnetic field growth and saturation in plasmas with large magnetic Prandtl number. I. The two-dimensional case. Astrophys J 545:907-921Google Scholar
- 23.Dar G, Verma MK, Eswaran V (2001) Energy transfer in two-dimensional magnetohydrodynamic turbulence: formalism and numerical results. Physica D157:207-225Google Scholar
- 25.Müller W-C, Biskamp D, Grappin R (2003) Statistical anisotropy of magneto-hydrodynamic turbulence. Phys Rev E67:066302/1-4Google Scholar
- 26.Tsinober A (1990) MHD flow drag reduction. In: Bushnell DM, Hefner JN (eds) Viscous Drag Reduction in Boundary layers. AIAA 123:327-349Google Scholar
- 28.Reynolds O (1874) On the extent and action of the heating surface of steam boilers. Proc Lit Phil Soc Manchester 14:7-12Google Scholar
- 30.Antonov NV, Hnatich M, Honkonen J, Jurchishin M (2003) Turbulence with pressure: Anomalous scaling of a passive vector field. Phys Rev E 68(4):046306-1-25Google Scholar