Two-Dimensional Analysis of Effects of Induced Magnetic Field on Generator Performance of a Large-Scale Pulsed MHD Generator

2004 ◽  
Author(s):  
Yuki Koshiba ◽  
Makoto Yuhara ◽  
Motoo Ishikawa
Keyword(s):  
Magnetic Field ◽  
Dimensional Analysis ◽  
Large Scale ◽  
Two Dimensional ◽  
Induced Magnetic Field ◽  
Mhd Generator ◽  
Generator Performance

Über stationäre, magnetogasdynamische Strömungen endlicher Ausdehnung

1968 ◽  
Vol 23 (12) ◽  
pp. 1940-1952
Author(s):  
K. Ragaller
Keyword(s):  
Magnetic Field ◽  
Finite Thickness ◽  
Two Dimensional ◽  
Finite Region ◽  
Induced Magnetic Field ◽  
Induced Field ◽  
Adjacent Field ◽  
Ambient Gas ◽  
Flow Variables ◽  
Flow Around A Body

Steady, two-dimensional, magnetogasdynamic flows in a finite region are investigated. In this paper the case of aligned fields is treated. Outside of the flow a resting gas with arbitrary electrical conductivity is assumed. As the induced magnetic field can propagate throughout the resting gas, all the flow is strongly influenced by this adjacent field-occupied region.This interaction between the field in the resting ambient gas and the flow can be formulated as an integral equation, the solution of which is given.In a number of examples the applicability of this formalism is demonstrated. So the flow around a body, the reflection of waves at a boundary, and the influence of an applied magnetic field, are investigated for a flow in the halfspace and for a jet of finite thickness. Besides the flow variables, the location of the boundary and the induced field outside of the flow, are calculated.

scholarly journals Transport and instability in driven two-dimensional magnetohydrodynamic flows

2016 ◽  
Vol 799 ◽  
pp. 541-578 ◽  
Author(s):  
Sam Durston ◽  
Andrew D. Gilbert
Keyword(s):  
Magnetic Field ◽  
Time Scale ◽  
Large Scale ◽  
Body Force ◽  
Passive Scalar ◽  
Fast Time ◽  
Two Dimensional ◽  
Mean Flow ◽  
The Mean ◽  
Background Shear

This paper concerns the generation of large-scale flows in forced two-dimensional systems. A Kolmogorov flow with a sinusoidal profile in one direction (driven by a body force) is known to become unstable to a large-scale flow in the perpendicular direction at a critical Reynolds number. This can occur in the presence of a ${\it\beta}$-effect and has important implications for flows observed in geophysical and astrophysical systems. It has recently been termed ‘zonostrophic instability’ and studied in a variety of settings, both numerically and analytically. The goal of the present paper is to determine the effect of magnetic field on such instabilities using the quasi-linear approximation, in which the full fluid system is decoupled into a mean flow and waves of one scale. The waves are driven externally by a given random body force and move on a fast time scale, while their stress on the mean flow causes this to evolve on a slow time scale. Spatial scale separation between waves and mean flow is also assumed, to allow analytical progress. The paper first discusses purely hydrodynamic transport of vorticity including zonostrophic instability, the effect of uniform background shear and calculation of equilibrium profiles in which the effective viscosity varies spatially, through the mean flow. After brief consideration of passive scalar transport or equivalently kinematic magnetic field evolution, the paper then proceeds to study the full magnetohydrodynamic system and to determine effective diffusivities and other transport coefficients using a mixture of analytical and numerical methods. This leads to results on the effect of magnetic field, background shear and ${\it\beta}$-effect on zonostrophic instability and magnetically driven instabilities.

Convection in an imposed magnetic field. Part 2. The dynamical regime

1981 ◽  
Vol 108 ◽  
pp. 273-289 ◽  
Author(s):  
N. O. Weiss
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Thermal Diffusivity ◽  
Large Scale ◽  
Time Dependent ◽  
Dynamical Regime ◽  
Two Dimensional ◽  
Chandrasekhar Number ◽  
Steady Convection ◽  
Active Flux

Nonlinear, two-dimensional magnetoconvection has been investigated numerically for a fixed Rayleigh number of 104, with the ratio ζ of the magnetic to the thermal diffusivity in the range 0·4 ≥ ζ ≥ 0·05. As the Chandrasekhar number Q is decreased, convection first sets in as overstable oscillations, which are succeeded by steady convection with dynamically active flux sheets and, eventually, with kinematically concentrated fields. In the dynamical regime spatially asymmetrical convection, with most of the flux on one side of the cell, is preferred. As Q increases, these asymmetrical solutions become time-dependent, with oscillations about the steady state which develop into large-scale oscillations with reversals of the flow. Although linear theory predicts that narrow cells should be most unstable, the nonlinear results show that steady convection occurs most easily in cells that are roughly twice as wide as they are deep.

Effect of Rotation to a Half-Sapce in Magneto-Thermoelasticity with Thermal Relaxations

2007 ◽  
Vol 353-358 ◽  
pp. 3018-3021
Author(s):  
Ying Pan ◽  
Zi Hou Zhang ◽  
Li Hou Liu
Keyword(s):  
Magnetic Field ◽  
Half Space ◽  
Normal Mode Analysis ◽  
Relaxation Times ◽  
Generalized Thermoelasticity ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Induced Magnetic Field ◽  
Coupled Problem ◽  
Analytical Expressions

Based on Green and Lindsay’s generalized thermoelasticity theory with two relaxation times, a two-dimensional coupled problem in electromagneto-thermoelasticity for a rotating half-space solid whose surface is subjected to a heat is studied in this paper. The normal mode analysis is used to obtain the analytical expressions for the considered variables. It can be found electromagneto-thermoelastic coupled effect in the medium, and it also can be found that rotation acts to significantly decrease the magnitude of the real part of displacement and stress and insignificantly affect the magnitude of temperature and induced magnetic field.

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