Abstract
The stability of the axisymmetric modes of a viscous flow of an annular cylindrical layer of fluid carrying an electric current is considered in the presence of an independent parallel electric current along the axis. Even if the electrical conductivity of the fluid is small, sufficiently strong steady‐state flow with a radial velocity gradient can reduce the growth rates so much that the e ‐folding times of the instabilities is larger than the time of flow over a typical length.
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