Steady fall of isothermal, resistiveviscous, compressible fluid across magnetic field
This is a basic MHD study of the steady fall of an infinite, vertical slab of isothermal, resistiveviscous, compressible fluid across a dipped magnetic field in uniform gravity. This doublediffusion steady flow in unbounded space poses a nonlinear but numerically tractable, onedimensional (1D) freeboundary problem, assuming constant coefficients of resistivity and viscosity. The steady flow is determined by a dimensionless number μ{sub 1} proportional to the triple product of the two diffusion coefficients and the square of the linear total mass. For a sufficiently large μ{sub 1}, the Lorentz, viscous, fluidpressure, and gravitational forces pack and collimate the fluid into a steady flow of a finite width defined by the two zeropressure freeboundaries of the slab with vacuum. The viscous force is essential in this collimation effect. The study conjectures that in the regime μ{sub 1}→0, the 1D steady state exists only for μ{sub 1}∈Ω, a spectrum of an infinite number of discrete values, including μ{sub 1} = 0 that corresponds to two steady states, the classical zeroresistivity static slab of Kippenhahn and Schlüter [R. Kippenhahn and A. Schlüter, Z. Astrophys. 43, 36 (1957)] and its recent generalization [B. C. Low et al., Astrophys. J. 755, 34 (2012)] to admit an inviscidmore »
 Authors:

^{[1]};
^{[2]}
 High Altitude Observatory, National Center for Atmospheric Research, Boulder, Colorado 80301 (United States)
 Barnard College, New York, New York 10027, USA and Department of Physics, Colorado University, Boulder, Colorado 80309 (United States)
 Publication Date:
 OSTI Identifier:
 22304141
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 6; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; GALAXIES; GRAVITATION; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MASS; NONLINEAR PROBLEMS; SOLAR ATMOSPHERE; SPACE; STEADY FLOW; TIME DEPENDENCE; TURBULENCE; VISCOSITY