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  • Chang, Tien Sun  (3)
  • 1965-1969  (3)
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  • 1965-1969  (3)
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  • 1
    Online Resource
    Online Resource
    Cambridge University Press (CUP) ; 1967
    In:  Journal of Fluid Mechanics Vol. 27, No. 1 ( 1967-01-11), p. 65-79
    In: Journal of Fluid Mechanics, Cambridge University Press (CUP), Vol. 27, No. 1 ( 1967-01-11), p. 65-79
    Abstract: The theory of stability of the flow of a viscous, electrically conducting fluid between rotating cylinders in the presence of an axial magnetic field is extended to the case where the cylinders are permeable and the primary flow includes a radial component. Numerical results pertaining to the stationary axially symmetric modes are presented, and the asymptotic stability behaviour for large values of the radial Reynolds number is derived.
    Type of Medium: Online Resource
    ISSN: 0022-1120 , 1469-7645
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1967
    detail.hit.zdb_id: 1472346-3
    detail.hit.zdb_id: 218334-1
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  • 2
    Online Resource
    Online Resource
    Cambridge University Press (CUP) ; 1969
    In:  Journal of Fluid Mechanics Vol. 36, No. 1 ( 1969-03-27), p. 193-206
    In: Journal of Fluid Mechanics, Cambridge University Press (CUP), Vol. 36, No. 1 ( 1969-03-27), p. 193-206
    Abstract: In considering the onset of instability of an electrically conducting fluid between rotating permeable perfectly conducting cylinders in an applied axial magnetic field, it is found that oscillatory axially symmetric modes occur at large values of Hartmann number, in addition to the usual stationary modes. Results are presented showing the effect of the oscillatory modes on the criterion of onset of instability. The asymptotic behaviour of the stability criterion is considered in the limit of very large radial Reynolds number, and also in the limit where both the radial Reynolds number and the Hartmann number are large.
    Type of Medium: Online Resource
    ISSN: 0022-1120 , 1469-7645
    Language: English
    Publisher: Cambridge University Press (CUP)
    Publication Date: 1969
    detail.hit.zdb_id: 1472346-3
    detail.hit.zdb_id: 218334-1
    Location Call Number Limitation Availability
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  • 3
    Online Resource
    Online Resource
    AIP Publishing ; 1965
    In:  The Physics of Fluids Vol. 8, No. 2 ( 1965-02-01), p. 235-241
    In: The Physics of Fluids, AIP Publishing, Vol. 8, No. 2 ( 1965-02-01), p. 235-241
    Abstract: An analysis which considers the stability of dissipative, conducting, incompressible, pure vortex flow (vortex flow with 1/r-transverse velocity profile) in an axially applied magnetic field is presented. The vortex is assumed to be confined within two nonpermeable, rotating, perfectly conducting, cylindrical walls. The results of the analysis confirm the exact criteria reported previously for the limiting cases of inviscid flow with finite or infinite electrical conductivity. The paradox between the inviscid hydromagnetic results and Rayleigh's criterion for inviscid, incompressible, pure vortex flow without magnetic interaction is resolved. The analysis presented in this paper is quite general and does not require the usual assumptions pertaining to the magnitudes of the electrical conductivity and viscosity, or the gap-width between the cylindrical walls.
    Type of Medium: Online Resource
    ISSN: 0031-9171
    Language: English
    Publisher: AIP Publishing
    Publication Date: 1965
    detail.hit.zdb_id: 241528-8
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