13
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

The stability of stratified conducting shear flow in an aligned magnetic field

&
Pages 109-126 | Received 24 Oct 1989, Published online: 19 Aug 2006

References

  • Brown , S. N. and Stewartson , K. 1980 . “On the algebraic decay of disturbances in a stratified linear shear flow” . J. Fluid Mech. , 100 : 811 – 816 .
  • Busse , F. H. 1970 . “Thermal instabilities in rapidly rotating system” . J. Fluid Mech. , 44 : 441 – 460 .
  • Case , K. 1960 . “Stability of inviscid plane Couette flow” . Phys. Fluids , 3 : 143 – 148 .
  • Chimonas , G. 1979 . “Algebraic disturbances in stratified shear flows” . J. Fluid Mech. , 90 : 1 – 19 .
  • Craik , A. D. D. 1988 . “A class of exact solutions in viscous incompressible magnetohydrodynamics” . Proc. R. Soc. Lond. , A417 : 235 – 244 .
  • Craik , A. D. D. and Criminale , W. O. 1986 . “Evolution of wave like disturbances in shear flows: A class of exact solutions of the Navier—Stokes equations” . Proc. R. Soc. Lond. , A406 : 13 – 26 .
  • Eliassen , A. , Holland , E. and Riis , E. 1953 . “Two-dimensional perturbation of a flow with constant shear of a stratified fluid” . Inst. Weather and Climate Res. Norwegian Acad. Sci. & Lett. , Publ. No. 1
  • Hains , F. D. 1965 . “Stability diagrams for magnetogasdynamic channel flow” . Phys. Fluids , 8 : 2014 – 2019 .
  • Heading , J. 1962 . An Introduction to Phase Integral Methods , London : Methuen .
  • Hunt , J. C. R. 1966 . “On the stability of parallel flows with parallel magnetic fields” . Proc. R. Soc. Lond. , A293 : 342 – 358 .
  • Joseph , D. D. 1976 . Stability of Fluid Motions I, II , New York : Springer-Verlag .
  • Kelvin , Lord. and Thomson , W. 1887 . “Stability of fluid motion: Rectilinear motion of viscous fluid between two parallel plates” . Phil. Mag. , 24 ( 5 ) : 188 – 196 .
  • Knobloch , E. 1984 . “On the stability of stratified plane Couette flow” . Geophys. & Astrophys. Fluid Dynam. , 29 : 105 – 116 .
  • Koppel , D. 1964 . “On the stability of flow of thermally stratified fluid under the action of gravity” . J. Math. Phys. , 5 : 963 – 982 .
  • Kuo , H. L. 1963 . “Perturbations of plane Couette flow in stratified fluid and origin of cloud streets” . Phys. Fluids , 6 : 195 – 211 .
  • Lerner , J. and Knobloch , E. 1985 . “The stability of dissipative magnetohydrodynamic shear flow in a parallel magnetic field” . Geophys. & Astrophys. Fluid Dynam. , 33 : 295 – 314 .
  • Michael , D. H. 1953 . “Stability of plane parallel flows of electrically conducting fluids” . Proc. Camb. Phil. Soc. , 49 : 166 – 168 .
  • Miles , J. W. 1961 . “On the stability of heterogeneous shear flows” . J. Fluid Mech. , 10 : 496 – 508 .
  • Phillips , O. M. 1966 . The Dynamics of the Upper Ocean , (1st ed.) , Cambridge : Cambridge University Press .
  • Roberts , P. H. 1968 . “On the thermal instability of a rotating fluid sphere containing heat sources” . Phil. Trans. R. Soc. Lond. , A263 : 93 – 117 .
  • Soward , A. M. 1977 . “On the finite amplitude thermal instability of a rapidly rotating fluid sphere” . Geophys. & Astrophys. Fluid Dynam. , 9 : 19 – 74 .
  • Stuart , J. T. 1954 . “On the stability of viscous flow between parallel planes in the presence of co-planar magnetic field” . Proc. R. Soc. Lond. , A221 : 189 – 206 .
  • Zeldovich , Ya. B. , Ruzmaikin , A. A. , Molchanov , S. A. and Sokoloff , D. D. 1984 . “Kinematic dynamo problem in a linear velocity field” . J. Fluid Mech. , 144 : 1 – 11 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.