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An Analytic Solution Of High Beta Equilibrium In A Large Aspect Ratio Tokamak
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Book Synopsis An Analytic Solution of High. Beta. Equilibrium in a Large Aspect Ratio Tokamak by :
Download or read book An Analytic Solution of High. Beta. Equilibrium in a Large Aspect Ratio Tokamak written by and published by . This book was released on 1991 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Analytic Solution of High. Beta. Equilibrium in a Large Aspect Ratio Tokamak by :
Download or read book An Analytic Solution of High. Beta. Equilibrium in a Large Aspect Ratio Tokamak written by and published by . This book was released on 1991 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analytic solution of the high? (?{bar?}{sub p} -?q2/? {much gt} 1) equilibrium of a large aspect ratio tokamak is presented. Two arbitrary flux functions, the pressure profile p and the safety factor profile q , specify the equilibrium. The solution splits into two asymptotic regions: the core region where? is a function of the major radius alone and a narrow boundary layer region adjoining the conducting wall. The solutions in the two regions are asymptotically matched to each other. For monotonic pressure profiles, the Shafranov shift is equal to the minor radius. For? much bigger than one, the solution contains a region (in place of the magnetic axis) of zero magnetic field and constant pressure. At high? the quantity?{sub I}, which is essentially proportional to the pressure over the total current squared, is largely independent of pressure. We discuss the important ramifications of limited?{sub I} for high? reactors. Generalizations to shaped cross sections and hollow pressure profiles are outlined. We also consider the problem of equilibrium reconstruction in the high {beta} regime. 8 refs., 7 figs.
Book Synopsis Free Boundary, High Beta Equilibrium in a Large Aspect Ratio Tokamak with Nearly Circular Plasma Boundary by :
Download or read book Free Boundary, High Beta Equilibrium in a Large Aspect Ratio Tokamak with Nearly Circular Plasma Boundary written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An analytic solution is obtained for free-boundary, high-beta equilibria in large aspect ratio tokamaks with a nearly circular plasma boundary. In the absence of surface currents at the plasma-vacuum interface, the free-boundary equilibrium solution introduces constraints arising from the need to couple to an external vacuum field which is physically realizable with a reasonable set of external field coils. This places a strong constraint on the pressure profiles that are consistent with a given boundary shape at high[epsilon][beta][sub p]. The equilibrium solution also provides information on the flux surface topology. The plasma is bounded by a separatrix. Increasing the plasma pressure at fixed total current causes the plasma aperture to decrease in a manner that is described.
Download or read book Begravelsesritual written by and published by . This book was released on 1910 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Free Boundary, High Beta Equilibrium in a Large Aspect Ratio Tokamak with Nearly Circular Plasma Boundary by : Hong Qin
Download or read book Free Boundary, High Beta Equilibrium in a Large Aspect Ratio Tokamak with Nearly Circular Plasma Boundary written by Hong Qin and published by . This book was released on 1996 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation by :
Download or read book Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation written by and published by . This book was released on 2004 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present analytic, high-beta ([beta] ≈ O(1)), helical equilibrium solutions for a class of helical axis configurations having large helical aspect ratio, with the helix assumed to be tightly wound. The solutions develop a narrow boundary layer of strongly compressed flux, similar to that previously found in high beta tokamak equilibrium solutions. The boundary layer is associated with a strong localized current which prevents the equilibrium from having zero net current.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1993 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Tokamak Equilibrium with Arbitrary Aspect Ratio by :
Download or read book A Tokamak Equilibrium with Arbitrary Aspect Ratio written by and published by . This book was released on 1995 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general analytical solution of the Grad-Shafranov equation is presented. It allows the simulation of plasmas with elongation and triangularity, with an independent choice of pressure and plasma current. A numerical computed fit to families of such solutions allows the direct computation of the poloidal flux function [Psi](R, Z) from a parametric description of the plasma given by aspect ratio A, elongation [kappa], triangularity [delta], size (i.e. major radius), plasma beta poloidal [beta]{sub pol}, and plasma current I{sub p}.
Book Synopsis Stability of High. Beta. Large Aspect Ratio Tokamaks by :
Download or read book Stability of High. Beta. Large Aspect Ratio Tokamaks written by and published by . This book was released on 1991 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: High [beta]([beta]{much gt} [epsilon]/q2) large aspect ratio ([epsilon] {much gt} 1) tokamak equilibria are shown to be always stable to ideal M.H.D. modes that are localized about a flux surface. Both the ballooning and interchange modes are shown to be stable. This work uses the analytic high [beta] large aspect ratio tokamak equilibria developed by Cowley et.al., which are valid for arbitrary pressure and safety factor profiles. The stability results make no assumption about these profiles or the shape of the boundary. 14 refs., 4 figs.
Book Synopsis Full Consistent Analysis of High Beta Steady State Tokamaks Sustained by Beam Driven and Bootstrap Currents by : K. Okano
Download or read book Full Consistent Analysis of High Beta Steady State Tokamaks Sustained by Beam Driven and Bootstrap Currents written by K. Okano and published by . This book was released on 1989 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of High Beta Large Aspect Ratio Tokamaks by : Steven C. Cowley
Download or read book Stability of High Beta Large Aspect Ratio Tokamaks written by Steven C. Cowley and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fusion Energy Update written by and published by . This book was released on 1982-04 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Toroidally Confined Plasmas by : Roscoe B White
Download or read book The Theory of Toroidally Confined Plasmas written by Roscoe B White and published by World Scientific Publishing Company. This book was released on 2001-07-09 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book is designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of toroidal magnetically confined plasmas, and to develop the mathematical methods necessary for their theoretical analysis. The book deals primarily with the consequences of ideal and resistive magnetohydrodynamics, these theories being responsible for most of what is well understood regarding the physics of fusion oriented discharges. Contents:Toroidal Configuration: EquilibriumGuiding Center MotionLinear Ideal ModesLinear Resistive ModesNonlinear BehaviorMode-Particle InteractionTransportPhase Integral Methods Readership: Graduate students, researchers and academics in the field of fusion.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1989 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plasma Physics Index written by and published by . This book was released on 1981 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ideal MHD written by Jeffrey P. Freidberg and published by Cambridge University Press. This book was released on 2014-06-26 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive, self-contained, and clearly written, this book describes the macroscopic equilibrium and stability of high temperature plasmas.