Dynamo action in a rotating convective layer

Journal of Fluid Mechanics

Volumn 553, Issue , 2006, Pages 401-418

  Cattaneo, Fausto ^a   Hughes, David W ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFUSION IN LIQUIDS; FLUID DYNAMICS; HEAT CONVECTION; REYNOLDS NUMBER;

BOUSSINESQ FLUID; CONVECTIVE LAYER; ELECTROMOTIVE FORCE; HELICITY DISTRIBUTION; MAGNETIC DIFFUSIVITY; MAGNETIC ENERGY;

ROTATIONAL FLOW;

CONVERGENCE OF NUMERICAL METHODS; DIFFUSION IN LIQUIDS; FLUID DYNAMICS; HEAT CONVECTION; REYNOLDS NUMBER; ROTATIONAL FLOW;

CONVECTION;

EID: 33645684766     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006009165     Document Type: Article

References (30)

1. Blackman, E. G. & Field, G. B. 2000 Constraints on the magnitude of α in dynamo theory. Astrophys. J. 534, 984-988.
2. Braginskii, S. I. 1964 Self excitation of a magnetic field during the motion of a highly conducting fluid. Sov. Phys. JETP 20, 726-735.
3. Cattaneo, F. 1999 On the origin of magnetic fields in the quiet photosphere. Astrophys. J. 515, L39-L42.
4. Cattaneo, F., Emonet. T. & Weiss, N. O. 2003 On the interaction between convection and magnetic fields. Astrophys. J. 588, 1183-1198.
5. Cattaneo, F. & Hughes, D. W. 1996 Nonlinear saturation of the turbulent α-effect. Phys. Rev. E 54, R4532-R4535.
6. Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Clarendon.
7. Childress, S. & Soward, A. M. 1972 Convection driven hydromagnetic dynamo. Phys. Rev. Lett. 29, 837-839.
8. Eltayeb, I. A. & Roberts, P. H. 1970 On the hydromagnetics of rotating fluids. Astrophys. J. 162, 699-701.
9. Fautrelle, Y. & Childress, S. 1982 Convective dynamos with intermediate and strong fields. Geophys. Astrophys. Fluid Dyn. 22, 235-279.
10. Field, G. B., Blackman, E. G. & Chou, H. S. 1999 Nonlinear α-effect in dynamo theory. Astrophys. J. 513, 638-651.
11. Gruzinov, A. V. & Diamond, P. H. 1994 Self-consistent theory of mean field electrodynamics. Phys. Rev. Lett. 72, 1651-1654.
12. Jepps, S. A. 1975 Numerical models of hydromagnetic dynamos. J. Fluid Mech. 67, 625-645.
13. Jones, C. A. & Roberts, P. H. 2000 Convection-driven dynamos in a rotating plane layer. J. Fluid Mech. 404, 311-343.
14. Krause, F. & Rädler, K.-H. 1980 Mean-Field Magnetohydrodynamics and Dynamo Theory. Pergamon.
15. Kulsrud, R. M. & Anderson, S. W. 1992 The spectrum of random magnetic fields in the mean field dynamo theory of the Galactic magnetic field. Astrophys. J. 396, 606-630.
16. Meneguzzi, M. & Pouquet, A. 1989 Turbulent dynamos driven by convection. J. Fluid Mech. 205, 297-318.
17. Moffatt, H. K. 1978 Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.
18. Parker, E. N. 1955 Hydromagnetic dynamo models. Astrophys. J. 122, 293-314.
19. Ponty, Y., Gilbert, A. D. & Soward, A. M. 2001 Kinematic dynamo action in large magnetic Reynolds number flows driven by shear and convection. J. Fluid Mech. 435, 261-287.
20. Pouquet, A., Frisch, U. & Léorat, J. 1976 Strong MHD helical turbulence and the nonlinear dynamo effect. J. Fluid Mech. 77, 321-354.
21. Rotvig, J. & Jones, C. A. 2002 Rotating convection-driven dynamos at low Ekman number. Phys. Rev. E 66, 056308:1-15.
22. Rüdiger, G. 1989 Differential Rotation and Stellar Convection: Sun and Solar-Type Stars. Gordon and Breach.
23. St Pierre, M. G. 1993 The strong field branch of the Childress-Soward dynamo. In Theory of Solar and Planetary Dynamos (ed. M. R. E. Proctor, P. C. Matthews & A. M. Rucklidge). pp. 295-302. Cambridge University Press.
24. Schmalzl, J., Breuer, M. & Hansen, U. 2002 The influence of the Prandtl number on the style of vigorous thermal convection. Geophys. Astrophys. Fluid Dyn. 96, 381-403.
25. Soward, A. M. 1974 A convection driven dynamo I. The weak field case. Phil. Trans. R. Soc. Lond. A 275, 611-651.
26. Steenbeck, M., Krause, F. & Rädler, K.-H. 1966 A calculation of the mean electromotive force in an electrically conducting fluid in turbulent motion, under the influence of Coriolis forces. Z. Naturforsch. 21a, 369-376.
27. Stellmach, S. & Hansen, U. 2004 Cartesian convection driven dynamos at low Ekman number. Phys. Rev. E 70, 056312:1-16.
28. Thelen, J.-C. & Cattaneo, F. 2000 Dynamo action driven by convection: the influence of magnetic boundary conditions. Mon. Not. R. Astr. Soc. 315, L13-L17.
29. Vainshtein, S. I. & Cattaneo, F. 1992 Nonlinear restrictions on dynamo action. Astrophys. J. 393, 165-171.
30. Yoshimura, H. 1975 A model of the solar cycle driven by the dynamo action of the global convection in the solar convection zone. Astrophys. J. Suppl. 29, 467-494.