메뉴 건너뛰기




Volumn 108, Issue 3, 2014, Pages 269-322

Eulerian and Lagrangian means in rotating, magnetohydrodynamic flows II. Braginsky's nearly axisymmetric dynamo

Author keywords

Azimuthal averages; Hybrid Euler Lagrange method; Kinematic and hydromagnetic dynamos

Indexed keywords

DC GENERATORS; EARTH (PLANET); INTERACTIVE DEVICES; KINEMATICS; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER;

EID: 84902865469     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091929.2013.875334     Document Type: Article
Times cited : (11)

References (38)
  • 1
    • 0018259342 scopus 로고
    • An exact theory of nonlinear waves on a Lagrangian-mean flow
    • Andrews, D.G. and McIntyre, M.E., An exact theory of nonlinear waves on a Lagrangian-mean flow. J. Fluid Mech. 1978a, 89, 609-646.
    • (1978) J. Fluid Mech. , vol.89 , pp. 609-646
    • Andrews, D.G.1    McIntyre, M.E.2
  • 2
    • 0018259413 scopus 로고
    • On wave action and its relatives
    • corrigendum, ibid, 1978, 95, 796
    • Andrews, D.G. and McIntyre, M.E., On wave action and its relatives. J. Fluid Mech. 1978b, 89, 647-664. corrigendum, ibid, 1978, 95, 796.
    • (1978) J. Fluid Mech. , vol.89 , pp. 647-664
    • Andrews, D.G.1    McIntyre, M.E.2
  • 4
    • 0000944027 scopus 로고
    • Self-excitation of magnetic field during the motion of a highly conducting fluid
    • [Engl. transl. Sov. Phys. JETP 1965, 20, 726--735]
    • Braginsky, S.I., Self-excitation of magnetic field during the motion of a highly conducting fluid. JETP 1964a, 47, 1084-1098. [Engl. transl. Sov. Phys. JETP 1965, 20, 726--735].
    • (1964) JETP , vol.47 , pp. 1084-1098
    • Braginsky, S.I.1
  • 5
    • 0001708863 scopus 로고
    • Theory of the hydromagnetic dynamo
    • [Engl. transl. Sov. Phys. JETP 1965, 20, 1462--1471]
    • Braginsky, S.I., Theory of the hydromagnetic dynamo. JETP 1964b, 47, 2178-2193 [Engl. transl. Sov. Phys. JETP 1965, 20, 1462--1471]
    • (1964) JETP , vol.47 , pp. 2178-2193
    • Braginsky, S.I.1
  • 8
    • 84902853185 scopus 로고
    • Secondary α-effect in the nearly symmetric dynamo
    • Cupal, I., Secondary α-effect in the nearly symmetric dynamo. Astron. Nachr. 1984, 305, 297-299.
    • (1984) Astron. Nachr. , vol.305 , pp. 297-299
    • Cupal, I.1
  • 10
    • 20944450281 scopus 로고    scopus 로고
    • On the saturation of astrophysical dynamos: Numerical experiments with the no-cosines flow
    • Dorch, S.B.F. and Archontis, V.D., On the saturation of astrophysical dynamos: Numerical experiments with the no-cosines flow. Solar Phys. 2004, 224, 171-178.
    • (2004) Solar Phys. , vol.224 , pp. 171-178
    • Dorch, S.B.F.1    Archontis, V.D.2
  • 11
    • 0039057351 scopus 로고
    • Some transformations of the hydrodynamic equations
    • Eckart, C., Some transformations of the hydrodynamic equations. Phys. Fluids 1963, 6, 1037-1041.
    • (1963) Phys. Fluids , vol.6 , pp. 1037-1041
    • Eckart, C.1
  • 12
    • 36149010767 scopus 로고
    • On hydromagnetic stability of stationary equilibria
    • Frieman, E. and Rotenberg, M., On hydromagnetic stability of stationary equilibria. Rev. Mod. Phys. 1960, 32, 898-902.
    • (1960) Rev. Mod. Phys. , vol.32 , pp. 898-902
    • Frieman, E.1    Rotenberg, M.2
  • 14
    • 84902863310 scopus 로고    scopus 로고
    • Kinematic dynamo action in a sphere. I Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry
    • Gubbins, G., Barber, C.N., Gibbons, S. and Love, J.J., Kinematic dynamo action in a sphere. I Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry. Proc. R. Soc. Lond. A 2000, 32, 898-902.
    • (2000) Proc. R. Soc. Lond. A , vol.32 , pp. 898-902
    • Gubbins, G.1    Barber, C.N.2    Gibbons, S.3    Love, J.J.4
  • 16
    • 0037106030 scopus 로고    scopus 로고
    • Averaged Lagrangians and mean effects of fluctuations in ideal fluid dynamics
    • Holm, D.D., Averaged Lagrangians and mean effects of fluctuations in ideal fluid dynamics. Physica D 2002, 170, 253-286.
    • (2002) Physica D , vol.170 , pp. 253-286
    • Holm, D.D.1
  • 17
    • 0001224825 scopus 로고
    • A three-dimensional kinematic dynamo
    • Kumar, S. and Roberts, P.H., A three-dimensional kinematic dynamo. Proc. R. Soc. Lond. A. 1975, 344, 235-258.
    • (1975) Proc. R. Soc. Lond. A. , vol.344 , pp. 235-258
    • Kumar, S.1    Roberts, P.H.2
  • 18
    • 0000312825 scopus 로고
    • Towards a Lagrangian-mean description of stratospheric circulations and chemical transports
    • McIntyre, M.E., Towards a Lagrangian-mean description of stratospheric circulations and chemical transports. Phil. Trans. R. Soc. Lond. A 1980, 296, 129-148.
    • (1980) Phil. Trans. R. Soc. Lond. A , vol.296 , pp. 129-148
    • McIntyre, M.E.1
  • 20
    • 0022717413 scopus 로고
    • Magnetostatic equilibria and analogous Euler flows of arbitrary complex topology. Part 2. Stability considerations
    • Moffatt, H.K., Magnetostatic equilibria and analogous Euler flows of arbitrary complex topology. Part 2. Stability considerations. J. Fluid Mech. 1986, 166, 359-378.
    • (1986) J. Fluid Mech. , vol.166 , pp. 359-378
    • Moffatt, H.K.1
  • 23
    • 33845534801 scopus 로고    scopus 로고
    • Eulerian and Lagrangian means in rotating, magnetohydrodynamic flows I. General results
    • Roberts, P.H. and Soward, A.M., Eulerian and Lagrangian means in rotating, magnetohydrodynamic flows I. General results. Geophys. Astrophys. Fluid Dyn. 2006a, 100, 457-483.
    • (2006) Geophys. Astrophys. Fluid Dyn. , vol.100 , pp. 457-483
    • Roberts, P.H.1    Soward, A.M.2
  • 24
    • 33845547296 scopus 로고    scopus 로고
    • Covariant description of non-relativistic magnetohydrodynamics
    • Roberts, P.H. and Soward, A.M., Covariant description of non-relativistic magnetohydrodynamics. Geophys. Astrophys. Fluid Dyn. 2006b, 100, 485-502.
    • (2006) Geophys. Astrophys. Fluid Dyn. , vol.100 , pp. 485-502
    • Roberts, P.H.1    Soward, A.M.2
  • 27
    • 0029657353 scopus 로고    scopus 로고
    • Three-dimensional kinematic dynamos dominated by strong differential rotation
    • Sarson, G. and Gubbins, D., Three-dimensional kinematic dynamos dominated by strong differential rotation. J. Fluid Mech. 1996, 306, 223-265.
    • (1996) J. Fluid Mech. , vol.306 , pp. 223-265
    • Sarson, G.1    Gubbins, D.2
  • 29
    • 36849100116 scopus 로고
    • Nearly symmetric kinematic and hydromagnetic dynamos
    • Soward, A.M., Nearly symmetric kinematic and hydromagnetic dynamos. J. Math. Phys. 1971a, 12, 1900-1906.
    • (1971) J. Math. Phys. , vol.12 , pp. 1900-1906
    • Soward, A.M.1
  • 30
    • 36849098351 scopus 로고
    • Nearly symmetric advection
    • Soward, A.M., Nearly symmetric advection. J. Math. Phys. 1971b, 12, 2052-2062.
    • (1971) J. Math. Phys. , vol.12 , pp. 2052-2062
    • Soward, A.M.1
  • 31
    • 0001801781 scopus 로고
    • A kinematic theory of large magnetic Reynolds number dynamos
    • Soward, A.M., A kinematic theory of large magnetic Reynolds number dynamos. Phil. Trans. R. Soc. Lond. A 1972, 272, 431-462.
    • (1972) Phil. Trans. R. Soc. Lond. A , vol.272 , pp. 431-462
    • Soward, A.M.1
  • 32
    • 84963473537 scopus 로고
    • A unified approach to a class of slow dynamos
    • Soward, A.M., A unified approach to a class of slow dynamos. Geophys. Astrophys. Fluid Dyn. 1990, 53, 81-107.
    • (1990) Geophys. Astrophys. Fluid Dyn. , vol.53 , pp. 81-107
    • Soward, A.M.1
  • 33
    • 44049106827 scopus 로고    scopus 로고
    • On the derivation of the Navier-Stokes-alpha equations from Hamilton's Principle
    • Soward, A.M. and Roberts, P.H., On the derivation of the Navier-Stokes-alpha equations from Hamilton's Principle. J. Fluid Mech. 2008, 604, 297-323.
    • (2008) J. Fluid Mech. , vol.604 , pp. 297-323
    • Soward, A.M.1    Roberts, P.H.2
  • 34
    • 78649980838 scopus 로고    scopus 로고
    • The hybrid Euler-Lagrange procedure using an extension of Moffatt's method
    • Soward, A.M. and Roberts, P.H., The hybrid Euler-Lagrange procedure using an extension of Moffatt's method. J. Fluid Mech. 2010, 661, 45-72.
    • (2010) J. Fluid Mech. , vol.661 , pp. 45-72
    • Soward, A.M.1    Roberts, P.H.2
  • 35
    • 0001638933 scopus 로고
    • The magnetohydrodynamics of a rotating fluid and the Earth's dynamo problem
    • Taylor, J.B., The magnetohydrodynamics of a rotating fluid and the Earth's dynamo problem. Proc. R. Soc. Lond. A 1963, 274, 274-283.
    • (1963) Proc. R. Soc. Lond. A , vol.274 , pp. 274-283
    • Taylor, J.B.1
  • 36
    • 84981761887 scopus 로고
    • Nearly symmetric dynamos
    • Tough, J.G., Nearly symmetric dynamos. Geophys. J. R. Astr. Soc. 1967, 13, 393-369.
    • (1967) Geophys. J. R. Astr. Soc. , vol.13 , pp. 369-393
    • Tough, J.G.1
  • 38
    • 84859977826 scopus 로고    scopus 로고
    • Magnetohydrodynamic drift equations: from langmuir circulation to magneto hydrodynamic dynamo?
    • Vladimirov, V.A., Magnetohydrodynamic drift equations: from langmuir circulation to magneto hydrodynamic dynamo? J. Fluid Mech. 2012, 698, 51-61.
    • (2012) J. Fluid Mech. , vol.698 , pp. 51-61
    • Vladimirov, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.