On the Stability of Magnetic Baroclinic Flow of an Unbounded Fluid with a Linear Velocity Profile

Stanley David Gedzelman Dept. of Geology, City College of New York and Lamont-Doherty Geological Observatory of Columbia University, Palisades, N.Y. 10964

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Abstract

The stability analysis of baroclinic magnetic flow for an unbounded fluid with a linear profile is presented. An analytic expression for the stability boundary is found, corroborating the results of Gilman obtained for a confined fluid that there is neither a long wave cutoff for instability nor a maximum value for the magnetic field at which instability may occur. In the limit of vanishing magnetic field the results coincide with those obtained by Burger.

Abstract

The stability analysis of baroclinic magnetic flow for an unbounded fluid with a linear profile is presented. An analytic expression for the stability boundary is found, corroborating the results of Gilman obtained for a confined fluid that there is neither a long wave cutoff for instability nor a maximum value for the magnetic field at which instability may occur. In the limit of vanishing magnetic field the results coincide with those obtained by Burger.

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