Abstract
view Abstract Citations (6) References (19) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the first-order smoothing expression for the alpha-effect in dynamo theory Durney, B. R. Abstract The term regenerating the poloidal magnetic field from the toroidal one (the alpha-effect) plays a central role in the generation of magnetic fields by a dynamo process. Using the so-called first order smoothing approximation, Steenbeck and Krause (1969) derived an expression for alpha, taking into account the case of homogeneous, isotropic motions. An equation, which is valid in the Boussinesq approximation, was found for alpha by making use of the velocity distribution employed by Durney and Spruit (1979) in the evaluation of the Reynolds stresses generating the solar differential rotation. It is important to derive an expression for alpha which is compatible with this equation, because little is known about the structure of the dominant convective eddy in the lower solar convection zone. The present investigation is concerned with the derivation of such an expression, taking into account a disappearance of alpha in the Boussinesq approximation if curvature effects are neglected. Publication: The Astrophysical Journal Pub Date: April 1983 DOI: 10.1086/160916 Bibcode: 1983ApJ...267..822D Keywords: Boussinesq Approximation; Dynamo Theory; Reynolds Stress; Solar Magnetic Field; Solar Rotation; Convection; Electrodynamics; Solar Cycles; Velocity Distribution; Astrophysics full text sources ADS |
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