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"Magnetohydrodynamic instabilities."
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High frequency sources of coherent radiation for fusion plasmas
This book describes two aspects of fusion plasma physics that are usually treated separately. Written in tutorial form, the first part of the book presents some of the essentials of magnetically confined plasma physics that are necessary for an in-depth understanding of the basic principles and underlying phenomena, in a consistent and comprehensive way. The second part is focused on existing powerful sources of high-frequency coherent radiation used for electron cyclotron resonance heating (ECRH), electron cyclotron resonance current drive (ECRCD), as well as for plasma ignition, control, and diagnostics in different fusion devices such as ITER and DEMO that are currently under development. Part of IOP Series in Plasma Physics.
eBook
Progress in Fluid Flow Research: Turbulence and Applied MHD
Description
Fluid flow research is a rapidly growing technological field, with extensive research in many areas. This compilation of technical papers explores
recent avenues of research in magnetohydrodynamic (MHD) flows—and the different aspects of both electroconductive and nonconductive fluids—in
one complete volume. Drawing from the Eighth Beer-Sheva International Seminar on MHD Flows and Turbulence, Branover and Unger review more than
65 technical papers covering such topics as turbulent flows, energy conversion, and hydrodynamic and MHD flows. Held every three years since
1975, the Beer-Sheva seminars are widely recognized for their research-oriented focus as well as for the forum for information exchange throughout
the international community. Each chapter presents a concise and comprehensive picture of experimental and theoretical research presently moving
the field. Progress in Fluid Flow Research: Turbulence and Applied MHD provides a strong reference for any reader with a desire to follow the
latest trends in this burgeoning area.
eBook
Study of the Magnetohydrodynamic Instability and a New Suppression Method in Liquid Metal Batteries
As a strong candidate for energy storage applications, Liquid Metal Batteries (LMBs) have the advantages of higher current density, longer cycle life, and simpler manufacturing of large-scale storage systems. Owing to the all-liquid construction, various kinds of Magnetohydrodynamic instabilities (MHDIs) are present in LMBs. In this paper, an in-depth study of the evolution process of MHDIs within LMBs has been conducted. By analyzing the characteristic velocity, the growth rate of instabilities γ has been defined so that the critical Hartmann number at which the instability occurs can be ascertained. A new critical parameter, mixed Reynolds number Remix, has been introduced to determine the duration of stable battery operation across varying charging/discharging currents, including those that may surpass the prescribed safe limits. Finally, a method for mitigating magnetohydrodynamic instability in LMBs through the configuration of busbar current is proposed, which can be seamlessly integrated with parallel battery packs. A comparative analysis of LMBs operation with/without bus current configuration reveals that when bus current is appropriately configured, the magnetic field strength within the battery undergoes a notable reduction of 40%, leading to a significant suppression of instability. The conclusions offer theoretical underpinnings for the application of LMBs in large-scale grid-level energy storage systems.
Journal Article
Study of the poloidal beta and internal inductance by solving the simplest Grad-Shafranov equation for a tokamak with a circular cross section
In this work, we present the poloidal beta βp and internal inductance li by solving the simplest Grad-Shafranov equation (GSE), using the Solov’ev assumption for an HT-7 tokamak with a circular cross section. The poloidal beta and internal inductance are measured by using diamagnetic and compensation loops, combined with poloidal magnetic probe array signals. In this paper, theoretical and experimental results of determining βp and li are presented. The calculated poloidal beta and internal inductance are demonstrated to depend on the kind of the discharge or plasma current.
Journal Article
Dynamo action in the presence of an imposed magnetic field
We consider the linear stability to three-dimensional perturbations of two-dimensional nonlinear magnetohydrodynamic basic states obtained from a specified forcing function in the presence of an imposed initially uniform magnetic field of strength B0. The forcing is chosen such that it drives the 'circularly polarized' (CP) flow of Galloway & Proctor (Galloway & Proctor 1992 Nature 356, 691-693) when B0=0. We first examine the properties of these basic states and their dependence on B0 and the magnetic Reynolds number Rm. The linear stability of these states is then investigated. It is found that, at a given Rm, the presence of a background field is stabilizing. The results also allow us to speculate that, at a fixed value of B0, the growth of the unstable perturbations is 'fast', in the sense that the growth rate becomes independent of Rm as Rm→∞.
Journal Article
A cylindrical model for rotational MHD instabilities in aluminum reduction cells
Large-scale horizontal vortices associated with deformations of the aluminum-electrolyte interface have been observed in operating aluminum reduction cells as well as in physical and numerical models. To expose their importance, we analyze a particular class of magnetohydrodynamic (MHD) interfacial instabilities which are induced by rotation. As we focus on a single vortex, a cylindrical geometry is preferred. Two analytical models are proposed. In a first model based on the MHD shallow-water approximation, we consider a vortex that has a solid rotation profile to obtain a wave equation and a dispersion relation. A more realistic second model includes a viscous rotation profile and the treatment of the base-state interface deformation. Energetics of the flow gives further insight on how an initial perturbation evolves as an oscillatory or a non-oscillatory instability, depending on the direction of rotation. We find that the mechanism at the very origin of these instabilities is neither due to a shear between the two layers—and are therefore not Kelvin–Helmholtz instabilities—nor simply due to magnetic force alone, but rather to the indirect action of the centripetal pressure due to the rotation induced by magnetic force.
Journal Article
Advances in Turbulence Studies
Description
Advances in Turbulence Studies concisely presents the status and results of both experimental and theoretical turbulence research, including a number of papers that deal with the results
of direct numerical simulation of both hydrodynamic and magnetohydrodynamic turbulence. Aspects of turbulence in electroconductive fluids and nonconductive fluids are featured.
eBook
Analysis of Magnetohydrodynamic Instabilities in Aluminum Reduction Cells
This chapter contains sections titled:
Introduction
Mathematical Model
Results
Conclusion
Book Chapter
Perfluorocarbon (PFC) Generation at Primary Aluminum Smelters
This chapter contains sections titled:
Introduction
Methods
Results
Discussion
Conclusions and Recommendations
Acknowledgments
Book Chapter