Transport coefficients for the shear dynamo problem at small Reynolds numbers.

@article{Singh2011TransportCF,
  title={Transport coefficients for the shear dynamo problem at small Reynolds numbers.},
  author={Nishant Kumar Singh and S. Sridhar},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 5 Pt 2},
  pages={
          056309
        }
}
  • N. SinghS. Sridhar
  • Published 14 March 2010
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We build on the formulation developed in S. Sridhar and N. K. Singh [J. Fluid Mech. 664, 265 (2010)] and present a theory of the shear dynamo problem for small magnetic and fluid Reynolds numbers, but for arbitrary values of the shear parameter. Specializing to the case of a mean magnetic field that is slowly varying in time, explicit expressions for the transport coefficients α(il) and η(il) are derived. We prove that when the velocity field is nonhelical, the transport coefficient α(il… 

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