Self-similar solution to the problem of the expansion of a cylindrical column of conducting gas in a longitudinal magnetic field

1968 ◽  
Vol 7 (2) ◽  
pp. 9-13 ◽  
Author(s):  
A. N. Cherepanov ◽  
V. I. Yakovlev
Keyword(s):  
Magnetic Field ◽  
Longitudinal Magnetic Field ◽  
Similar Solution ◽  
Cylindrical Column ◽  
Self Similar Solution ◽  
Self Similar

scholarly journals Magnetohydrodynamic Winds Driven by Line Force from the Standard Thin Disk around Supermassive Black Holes: II. A Possible Model for Ultra-fast Outflows in Radio-loud AGNs

2021 ◽  
Vol 922 (2) ◽  
pp. 262
Author(s):  
Xiao-Hong Yang
Keyword(s):  
Magnetic Field ◽  
Numerical Simulations ◽  
Inclination Angle ◽  
Initial Conditions ◽  
Disk Surface ◽  
Similar Solution ◽  
Driving Mechanism ◽  
Self Similar Solution ◽  
Line Force ◽  
Self Similar

Abstract In radio-loud active galactic nuclei (AGNs), ultra-fast outflows (UFOs) were detected at the inclination angle of ∼10°–70° away from jets. Except for the inclination angle of UFOs, the UFOs in radio-loud AGNs have similar properties to that in radio-quiet AGNs. The UFOs with such low inclination cannot be explained in the line-force mechanism. The magnetic-driving mechanism is suggested to explain the UFOs based on a self-similar solution with radiative transfer calculations. However, the energetics of self-similar solution need to be further confirmed based on numerical simulations. To understand the formation and acceleration of UFOs in radio-loud AGNs, this paper presents a model of the disk winds driven by both line force and magnetic field and implements numerical simulations. Initially, a magnetic field is set to 10 times stronger than the gas pressures at the disk surface. Simulation results imply that the disk winds driven by both line force and magnetic field could describe the properties of UFOs in radio-loud AGNs. Pure magnetohydrodynamics (MHDs) simulation is also implemented. When the initial conditions are the same, the hybrid models of magnetic fields and line force are more helpful to form UFOs than the pure MHD models. It is worth studying the case of a stronger magnetic field to confirm this result.

A converging, cylindrical, ionizing shock

1968 ◽  
Vol 2 (4) ◽  
pp. 597-611 ◽  
Author(s):  
D. M. Sloan
Keyword(s):  
Magnetic Field ◽  
Lorentz Force ◽  
Axial Magnetic Field ◽  
Similar Solution ◽  
Governing Equations ◽  
Self Similar Solution ◽  
Self Similar ◽  
The Magnetic Field ◽  
Consequent Increase

The investigation deals with a collapsing, cylindrical, ionizing shock in an applied axial magnetic field. The magnetic field in the nonconducting gas ahead of the shock increases as the shock converges and the consequent increase in the Lorentz force behind the shock produces a retardation. It is shown that no accelerating self-similar solution exists and the governing equations are then solved numerically.

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