The time and thickness scales in the MHDRayleigh problem. A formal analysis
Abstract
The MHD Rayleigh problem was qualitatively analyzed in a systematic manner. Starting from the complete system of equations, simple subsystems were derived using the magnetic Prandtl number as a parameter. These subsystems are characteristic for the various boundary layer regions to be recognized. Initially a purely viscous and a much thicker e.m. layer exist. These layers develop an interactive character in a characteristic time T, the value of which is given. The viscous layer develops into a Hartmann layer of constant thickness and the e.m. layer develops into an Alfven wave with an electrically diffusing front.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 November 1975
 Bibcode:
 1975STIN...7713378S
 Keywords:

 Magnetohydrodynamics;
 Rayleigh Equations;
 Scaling Laws;
 Thickness;
 Time Dependence;
 Approximation;
 Boundary Layers;
 Hartmann Flow;
 Independent Variables;
 Magnetohydrodynamic Waves;
 Prandtl Number;
 Qualitative Analysis;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer