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Resistive Ballooning Mode Equation

Resistive Ballooning Mode Equation PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
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.

Resistive Ballooning Mode Equation

Resistive Ballooning Mode Equation PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
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.

Calculation of the Resistive Ballooning Mode Growth Rate Foraclass of 3-D MHD Equilibria

Calculation of the Resistive Ballooning Mode Growth Rate Foraclass of 3-D MHD Equilibria PDF Author: D. Correa-Restrepo
Publisher:
ISBN:
Category :
Languages : en
Pages : 4

Book Description


Calculation of the resistive ballooning mode growth rate for a class of 3-D MHD equilibria

Calculation of the resistive ballooning mode growth rate for a class of 3-D MHD equilibria PDF Author: DarĂ­o Correa-Restrepo
Publisher:
ISBN:
Category :
Languages : de
Pages : 8

Book Description


Advanced Tokamak Stability Theory

Advanced Tokamak Stability Theory PDF Author: Linjin Zheng
Publisher: Morgan & Claypool Publishers
ISBN: 1627057072
Category : Science
Languages : en
Pages : 178

Book Description
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

Resistive Ballooning Modes in an Axisymmetric Toroidal Plasma with Long Mean-free Path

Resistive Ballooning Modes in an Axisymmetric Toroidal Plasma with Long Mean-free Path PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description
Tokamak devices normally operate at such high temperatures that the resistive fluid description is inappropriate. In particular, the collision frequency may be low enough for trapped particles to exist. However, on account of the high conductivity of such plasmas, one can identify two separate scale lengths when discussing resistive ballooning modes. By describing plasma motion on one of these, the connection length, in terms of kinetic theory the dynamics of trapped particles can be incorporated. On the resistive scale length, this leads to a description in terms of modified fluid equations in which trapped particle effects appear. The resulting equations are analyzed and the presence of trapped particles is found to modify the stability properties qualitatively.

Tokamaks

Tokamaks PDF Author: John Wesson
Publisher: Oxford University Press
ISBN: 0199592233
Category : Science
Languages : en
Pages : 828

Book Description
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.

Global Ballooning Modes in the Linear Multipole

Global Ballooning Modes in the Linear Multipole PDF Author: Darrell Allen Skinner
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

Book Description


Collective Modes in Inhomogeneous Plasmas

Collective Modes in Inhomogeneous Plasmas PDF Author: Jan Weiland
Publisher: CRC Press
ISBN: 9780750305891
Category : Science
Languages : en
Pages : 208

Book Description
Collective Modes in Inhomogeneous Plasmas: Kinetic and Advanced Fluid Theory presents the collective drift and MHD-type modes in inhomogeneous plasmas from the point of view of two-fluid and kinetic theory. Written by an internationally respected plasma transport theoretician, this introductory monograph emphasizes the description of the plasma rather than the geometry to present a more general approach to a large class of plasma problems. Starting with generalized fluid equations for low frequency phenomena, the author shows how drift waves and MHD-type modes can arise from the effects of inhomogeneities in the plasma. The kinetic description is then presented to reveal a host of phenomena ranging from vortex modes and finite Larmor radius effects to trapped and fast particle instabilities, transport, diffusion, and other advanced fluid effects. Theoretical and computational plasma physicists modeling confined plasmas will find this illustrated book a very valuable addition to their collection.

Plasma and Fluid Turbulence

Plasma and Fluid Turbulence PDF Author: A. Yoshizawa
Publisher: CRC Press
ISBN: 1000687759
Category : Science
Languages : en
Pages : 339

Book Description
Theory and modelling with direct numerical simulation and experimental observations are indispensable in the understanding of the evolution of nature, in this case the theory and modelling of plasma and fluid turbulence. Plasma and Fluid Turbulence: Theory and Modelling explains modelling methodologies in depth with regard to turbulence phenomena a

Theory Of Toroidally Confined Plasmas, The (Third Edition)

Theory Of Toroidally Confined Plasmas, The (Third Edition) PDF Author: Roscoe B White
Publisher: World Scientific Publishing Company
ISBN: 1783263652
Category : Science
Languages : en
Pages : 527

Book Description
This graduate level textbook develops the theory of magnetically confined plasma, with the aim of bringing the reader to the level of current research in the field of thermonuclear fusion. It begins with the basic concepts of magnetic field description, plasma equilibria and stability, and goes on to derive the equations for guiding center particle motion in an equilibrium field. Topics include linear and nonlinear ideal and resistive modes and particle transport. It is of use to workers in the field of fusion both for its wide-ranging account of tokamak physics and as a kind of handbook or formulary.This edition has been extended in a number of ways. The material on mode-particle interactions has been reformulated and much new information added, including methodology for Monte Carlo implementation of mode destabilization. These results give explicit means of carrying out mode destabilization analysis, in particular for the dangerous fishbone mode. A new chapter on cyclotron motion in toroidal geometry has been added, with comparisons of the analysis of resonances using guiding center results. A new chapter on the use of lithium lined walls has been added, a promising means of lowering the complexity and cost of full scale fusion reactors. A section on nonlocal transport has been added, including an analysis of Levy flight simulations of ion transport in the reversed field pinch in Padova, RFX.