The Hydromagnetic Stability of the Modified Plane Couette Flow in the Presence of a Transverse Magnetic Field
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概要
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The hydromagnetic stability against small disturbances is investigated on the plane laminar motion of an electrically conducting fluid between parallel plates in relative motionin the presence of a transverse magnetic field. Curves of the neutral stability in the (α,R)-plane (α, the wave-number; R, the Reynolds number) are calculated for various values of the Hartmann number M. It is thus found that the critical Reynolds number R_c is infinite for M<3.91 as well as for ordinary plane Couette flow. As M increases from 3.91, R_c decreases rapidly to a minimum value of 3.8x10^5 when M=5.4 and then increases steadily to its asymptotic value, 50000M, for sufficiently large values of M(>15). Thus, we may conclude that the flow is always stable for 0≦M≦3.91, destabilized by the magnetic field for 3.91<M<5.4 and stabilized reversely for M>5.4.
- 社団法人日本物理学会の論文
- 1964-06-05
著者
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Kakutani Tsunehiko
Department Of Engineering Mathematics University Of Newcastle Upon Tyne:(present Address) Department
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Kakutani Tsunehiko
Department Of Physics Faculity Of Science University Of Tokyo
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