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Author : Akira Hirose
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (977 download)
Download or read book Resistive MHD ballooning mode in tokamaks written by Akira Hirose and published by . This book was released on 1987 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.B. White
Publisher : Elsevier
ISBN 13 : 1483293262
Total Pages : 374 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory of Tokamak Plasmas written by R.B. White and published by Elsevier. This book was released on 2017-01-31 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate textbook on tokamak physics, designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of a tokamak discharge, and to develop the mathematical methods necessary for their theoretical analysis.
Download or read book Resistive Ballooning Mode Equation written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A second-order ordinary differential equation on each flux surface is derived for the high mode number limit of resistive MHD ballooning modes in tokamaks with arbitrary cross section, aspect ratio, and shear. The equation is structurally similar to that used to study ideal MHD ballooning modes computationally. The model used in this paper indicates that all tokamak plasmas are unstable, with growth rate proportional to resistivity when the pressure gradient is less than the critical value needed for ideal MHD stability.
Author : Hartmut Zohm
Publisher : John Wiley & Sons
ISBN 13 : 3527412328
Total Pages : 254 pages
Book Rating : 4.5/5 (274 download)
Download or read book Magnetohydrodynamic Stability of Tokamaks written by Hartmut Zohm and published by John Wiley & Sons. This book was released on 2015-02-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.
Author : G. Rewoldt
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (831 download)
Download or read book Influence of Hot Beam Ions on MHD Ballooning Modes in Tokamaks written by G. Rewoldt and published by . This book was released on 1984 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (833 download)
Download or read book Kinetic Analysis of MHD Ballooning Modes in Tokamaks written by and published by . This book was released on 1984 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book MHD Stability Limits on High-. Beta. Tokamaks written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Limitations on high-.beta. tokamaks are imposed by a number of ideal and resistive MHD instabilities. The present paper reports results on three such studies: (1) Numerical analysis using the Princeton PEST code on .beta. optimization of tokamaks for low toroidal mode numbers n; (2) analytic and numerical results on ideal ballooning modes with high n; and (3) analytic and numerical results on resistive ballooning modes at high n.
Author :
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (893 download)
Download or read book Pseudo-MHD Ballooning Modes in Tokamak Plasmas written by and published by . This book was released on 1996 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MHD description of a plasma is extended to allow electrons to have both fluid-like and adiabatic-regime responses within an instability eigenmode. In the resultant {open_quotes}pseudo-MHD{close_quotes} model, magnetic field line bending is reduced in the adiabatic electron regime. This makes possible a new class of ballooning-type, long parallel extent, MHD-like instabilities in tokamak plasmas for [alpha]> s2(2 73/9) (r{sub p}/R0) or-d "Beta]/dr> (216 /3)(s/ R{sub 0q}), which is well below the ideal-MHD stability boundary. The marginally stable pressure profile is similar in both magnitude and shape to that observed in ohmically heated tokamak plasmas.
Download or read book Influence of Hot Beam Ions on MHD Ballooning Modes in Tokamaks written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: It has recently been proposed that the presence of high energy ions from neutral beam injection can have a strong stabilizing effect on kinetically-modified ideal MHD ballooning modes in tokamaks. In order to assess realistically the importance of such effects, a comprehensive kinetic stability analysis, which takes into account the integral equation nature of the basic problem, has been applied to this investigation. In the collisionless limit, the effect of adding small fractions of hot beam ions is indeed found to be strongly stabilizing. On the other hand, for somewhat larger fractions of hot ions, a new beam-driven mode is found to occur with a growth rate comparable in magnitude to the growth rate of the MHD ballooning mode in the absence of hot ions. This implies that there should be an optimal density of hot particles which minimizes the strength of the relevant instabilities. Employing non-Maxwellian equilibrium distribution functions to model the beam species makes a quantitative, but not qualitative, difference in the results. Adding collisions to the calculation tends to reduce considerably the stabilizing effect of the hot ions.
Author : Linjin Zheng
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627054235
Total Pages : 156 pages
Book Rating : 4.6/5 (27 download)
Download or read book Advanced Tokamak Stability Theory written by Linjin Zheng and published by Morgan & Claypool Publishers. This book was released on 2014-04-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the advanced stability theories for magnetically confined fusion plasmas, especially in tokamaks. As the fusion plasma sciences advance, the gap between the textbooks and cutting-edge researches gradually develops. This book fills in
Author : A.B Mikhailovskii
Publisher : Routledge
ISBN 13 : 1351438166
Total Pages : 496 pages
Book Rating : 4.3/5 (514 download)
Download or read book Instabilities in a Confined Plasma written by A.B Mikhailovskii and published by Routledge. This book was released on 2017-10-05 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.
Author : Hwan-Young Che
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.:/5 (89 download)
Download or read book Resistive MHD Mode Structures in a Tokamak written by Hwan-Young Che and published by . This book was released on 1993 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book High-n Ideal and Resistive Shear Alfven Waves in Tokamaks written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal and resistive MHD equations for the shear Alfven waves are studied in a low-.beta. toroidal model by employing the high-n ballooning formalism. The ion sound effects are neglected. For an infinite shear slab, the ideal MHD model gives rise to a continuous spectrum of real frequencies and discrete eigenmodes (Alfven-Landau modes) with complex frequencies. With toroidal coupling effects due to nonuniform toroidal magnetic field, the continuum is broken up into small continuum bands and new discrete toroidal eigenmodes can exist inside the continuum gaps. Unstable ballooning eigenmodes are also introduced by the bad curvature when .beta.> .beta./sub c/. The resistivity (n) can be considered perturbatively for the ideal modes. In addition, four branches of resistive modes are induced by the resistivity: (1) Resistive entropy modes which are stable (.delta.' 0) with frequencies approaching zero as n35, (3) Resistive periodic shear Alfven waves which approach the finite frequency end points of the continuum bands and n12, and (4) Resistive ballooning modes which are purely growing with growth rate proportional to eta13.beta.23 as eta .--. O and .beta. .-->. O.
Author : John Wesson
Publisher : Oxford University Press
ISBN 13 : 0199592233
Total Pages : 828 pages
Book Rating : 4.1/5 (995 download)
Download or read book Tokamaks written by John Wesson and published by Oxford University Press. This book was released on 2011-10-13 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tokamak is the principal tool in controlled fusion research. This book acts as an introduction to the subject and a basic reference for theory, definitions, equations, and experimental results. The fourth edition has been completely revised, describing their development of tokamaks to the point of producing significant fusion power.
Download or read book Dependence of Ideal MHD Kink and Ballooning Modes on Plasma Shape and Profiles in Tokamaks written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical studies of ideal MHD instabilities have been carried out to gain insight into the parametric dependence of critical .beta.'s in tokamaks. The large number of interrelated equilibrium quantities involved in establishing a critical .beta. has demanded a careful, systematic survey in order to isolate this dependence. The results of this survey establish the scaling with geometrical quantities including aspect ratio, elongation, and triangularity in the parameter regimes appropriate for both current and reactor-sized plasmas. A moderate dependence on the pressure profile and a strong variation with the current profile is found. The principal result is that for aspect ratio R/a approximately equal to 3, critical .beta.'s are of the order of 2% for circular cross sections and 5% for plasmas with elongation K approximately equal to 2; somewhat higher values could be achieved with more optimal shaping. Finally, sequences of equilibria have been analyzed to compare critical .beta. as a function of toroidal mode number n. We conclude that the infinite-n analytic ballooning theory provides a sufficient condition for ideal MHD internal mode stability. Low-n free boundary modes appear to set a lower limit.
Author : Thomas A. Gianakon
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.:/5 (89 download)
Download or read book Computational Modeling of Neoclassical and Resistive MHD Tearing Modes in Tokamaks written by Thomas A. Gianakon and published by . This book was released on 1996 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. M. M. Todd
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (713 download)
Download or read book Dependence of Ideal MHD Kink and Ballooning Modes on Plasma Shape and Profiles in Tokamaks written by A. M. M. Todd and published by . This book was released on 1978 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
