Incorporating velocity shear into the magneto-Boussinesq approximation |
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Authors: | Jordan A Bowker Evy Kersalé |
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Institution: | Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JTUK. |
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Abstract: | Motivated by consideration of the solar tachocline, we derive, via an asymptotic procedure, a new set of equations incorporating velocity shear and magnetic buoyancy into the Boussinesq approximation. We demonstrate, by increasing the magnetic field scale height, how these equations are linked to the magneto-Boussinesq equations of Spiegel and Weiss (Magnetic buoyancy and the Boussinesq approximation. Geophys. Astrophys. Fluid Dyn. 1982, 22, 219–234). |
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Keywords: | Boussinesq approximation Magnetic buoyancy Velocity shear Solar tachocline |
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