Magnetic Prandtl number

Summary

The Magnetic Prandtl number (Prm) is a dimensionless quantity occurring in magnetohydrodynamics which approximates the ratio of momentum diffusivity (viscosity) and magnetic diffusivity.[1] It is defined as:

where:

At the base of the Sun's convection zone the Magnetic Prandtl number is approximately 10−2,[2] and in the interiors of planets and in liquid-metal laboratory dynamos is approximately 10−5.

See also

References

  1. ^ Schekochihin, Alexander A.; Cowley, Steven C.; Maron, Jason L.; McWilliams, James C. (2004-02-03). "Critical Magnetic Prandtl Number for Small-Scale Dynamo". Physical Review Letters. American Physical Society (APS). 92 (5): 054502. arXiv:astro-ph/0308336. doi:10.1103/physrevlett.92.054502. ISSN 0031-9007.
  2. ^ Schumacher, Jörg; Sreenivasan, Katepalli R. (7 October 2020). "Colloquium: Unusual dynamics of convection in the Sun". Reviews of Modern Physics. 92 (4): 041001. doi:10.1103/RevModPhys.92.041001. Retrieved 17 April 2021.