Magnetic field generation in an anisotropically conducting fluid

Physics – Fluid Dynamics

Scientific paper

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Anisotropic Fluids, Dynamo Theory, Homopolar Generators, Magnetic Fields, Magnetohydrodynamics, Cartesian Coordinates, Dimensionless Numbers, Magnetic Diffusion, Mathematical Models, Reynolds Number

Scientific paper

An example of an exponentially growing magnetic field in a fluid with shear and a homogeneous but anisotropic magnetic diffusivity is constructed. An induction equation for an anisotropic fluid is derived and a solution of the dynamo type in an unbounded fluid is obtained. The motion with one coordinate bounded is analyzed. A similarity between the solutions and the known homopolar disk dynamo is noted.

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