The disk-dynamo model for natural dynamos.

Physics

Scientific paper

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Magnetohydrodynamics: Dynamo Theory

Scientific paper

The author analyzes the kinematic and the dynamic self-excited disk dynamo models for natural dynamos. In the kinematic model (given disk angular velocity), the magnetic field can either increase or decrease exponentially with time, or it can be constant if the angular velocity has a specific value that is a function of the geometry and of the resistance of the circuit. With the dynamic disk dynamo (given mechanical power input), there are both transient and steady-state solutions, and the steady-state magnetic flux density is proportional to the square root of the power input. The polarity of the induced magnetic field in either dynamo is the same as the seed field, and erratic polarity reversals can be expected if the power input is erratic.

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