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Original Articles

Laminar instability of pressure-driven dynamos in multiple helical pipes

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Pages 493-507 | Received 15 Jan 2012, Accepted 17 May 2012, Published online: 21 Jun 2012

References

  • Benton , ER . 1979 . Kinematic dynamo action with helical symmetry in an unbounded fluid conductor. Part I . Geophys. Astrophys. Fluid Dyn. , 12 : 313 – 344 .
  • Berger , SA , Talbot , L and Yao , LS . 1983 . Flow in curved pipes . Annu. Rev. Fluid Mech. , 15 : 461 – 512 .
  • Conan-Doyle , A . 1891 . The red-headed league . The Strand Magazine , 2 ( 8 ) : 190 – 204 .
  • Dean , WR . 1927 . Note on the motion of fluid in a curved pipe . Phil. Mag. , 4 : 208 – 223 .
  • Frick , P , Noskov , V , Denisov , S , Khripchenko , S , Sokoloff , D , Stepanov , R and Sukhanovsky , A . 2002 . Non-stationary screw flow in a toroidal channel: way to a laboratory dynamo experiment . Magnetohydrodynamics , 38 : 143 – 162 .
  • Gailitis , A and Freiberg , Y . 1977 . Theory of a helical MHD dynamo . Magnetohydrodynamics , 12 : 127 – 130 .
  • Gailitis , A , Lielausis , O , Platacis , E , Gerbeth , G and Stefani , F . 2004 . Riga dynamo experiment and its theoretical background . Phys. Plasmas , 11 : 2838 – 2843 .
  • Gilbert , AD . 1988 . Fast dynamo action in the Ponomarenko dynamo . Geophys. Astrophys. Fluid Dyn. , 44 : 241 – 258 .
  • Hall , P and Horseman , NJ . 1991 . The linear inviscid secondary instability of longitudinal vortex structures in boundary layers . J. Fluid Mech. , 232 : 357 – 375 .
  • Lortz , D . 1968 . Exact solutions of the hydrodynamic dynamo problem . Plasma Phys. , 10 : 967 – 972 .
  • Müller , U , Stieglitz , R and Horanyi , S . 2004 . A two-scale hydromagnetic dynamo experiment . J. Fluid Mech. , 498 : 31 – 71 .
  • Proctor , MRE . 1981 . MHD pumps to drive coolant in nuclear reactors . Private Communication ,
  • Rädler , K-H and Cēbers , A editors . 2002 . The special issue: MHD dynamo experiments . Magnetohydrodynamics , 38 : 3 – 218 .
  • Trefethen , NL . 2000 . Spectral Methods in MATLAB , Philadelphia : SIAM .
  • Zabielski , L and Mestel , AJ . 1998 . Steady flow in a helically symmetric pipe . J. Fluid Mech. , 370 : 297 – 320 .
  • Zabielski , L and Mestel , AJ . 2005 . Kinematic dynamo action in a helical pipe . J. Fluid Mech. , 535 : 347 – 367 .
  • Zabielski , L and Mestel , AJ . 2006 . Nonlinear dynamos in laminar, helical pipe flow . Phys. Fluids , 18 : 043602
  • Zabielski , L and Mestel , AJ . 2007 . A double helix laminar dynamo . J. Fluid Mech. , 573 : 237 – 246 .

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