TITLE

Toroidal equilibria in spherical coordinates

AUTHOR(S)
Tsui, K. H.
PUB. DATE
November 2008
SOURCE
Physics of Plasmas;11/1/2008, Vol. 15 Issue 11, p112506
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The standard Grad–Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad–Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low β Solovev and high β plasma equilibria in terms of elementary functions.
ACCESSION #
35541219

 

Related Articles

  • Linear theory of MHD Taylor-Couette flow. Rüdiger, Günther // AIP Conference Proceedings;2004, Vol. 733 Issue 1, p71 

    The linear theory of MHD Taylor-Couette flow (subject to an axial magnetic field and unbounded in z) is presented in order to prepare laboratory experiments to probe the MRI. Only stationary flow patterns are considered but also with nonaxisymmetry and for small magnetic Prandtl numbers. If the...

  • Stretching in duct flows. Franjione, J. G.; Ottino, J. M. // Physics of Fluids A;Nov91, Vol. 3 Issue 11, p2819 

    Duct flows are steady three-dimensional isochoric velocity fields composed of a recirculating two-dimensional cross-sectional flow and a unidirectional axial flow, both flows being independent of the axial distance. It is shown that lineal stretch in such flows increases linearly in time. In...

  • A similarity model of axisymmetric convection. Shapiro, A. M.; Benton, G. S. // Physics of Fluids A;Jun90, Vol. 2 Issue 6, p928 

    An inverse distance scaling has been imposed on the velocity field for steady axisymmetric convection of an incompressible fluid with spatially variable density over a flat plate. The model is closed by explicitly specifying the solenoidal term of the vorticity equation as a function of the...

  • Stationary axisymmetric charged perfect fluid type D solutions. García, Alberto; Tellez, Jorge // Journal of Mathematical Physics;Jun92, Vol. 33 Issue 6, p2254 

    A complete class of stationary axisymmetric Wainwright class I charged perfect fluid solutions is given.

  • Examples of exact solutions to boundary value problems for axisymmetric flows of an incompressible fluid. Shcheprov, A. V. // Doklady Physics;Nov2006, Vol. 51 Issue 11, p613 

    The article presents solutions to several boundary value problems for axisymmetric flows, both viscous and inviscid. Determination of exact solutions to these problems is a complicated mathematical problem due to the nonlinearity and the high order of the original differential equations....

  • Numerical simulation of the generation mechanism of axisymmetric supersonic jet screech tones. Li, X. D.; Gao, J. H. // Physics of Fluids;Aug2005, Vol. 17 Issue 8, p085105 

    In this paper an axisymmetric computational aeroacoustic procedure is developed to investigate the generation mechanism of axisymmetric supersonic jet screech tones. The axisymmetric Navier-Stokes equations and the two equations standard k-ε turbulence model modified by Turpin and Troyes...

  • On the Spheroidal Semiseparation for Stokes Flow. Dassios, George; Vafeas, Panayiotis // Research Letters in Physics;2008, p1 

    Many heat and mass transport problems involve particle-fluid systems, where the assumption of Stokes flow provides a very good approximation for representing small particles embedded within a viscous, incompressible fluid characterizing the steady, creeping flow. The present work is concerned...

  • Two-dimensional dynamics of the plasma wakefield accelerator. Keinigs, Rhon; Jones, Michael E. // Physics of Fluids (00319171);Jan87, Vol. 30 Issue 1, p252 

    A general analysis of the electromagnetic wakefields for an axisymmetric charge distribution moving through a cold uniform plasma is presented. Particular attention is given to the electromagnetic and relativistic effects influencing the waves. It is shown that the plasma provides shielding of...

  • Axisymmetric thermal wake interaction of two drops in a gravity field at low Reynolds and high Peclet numbers. Lavrenteva, O.M.; Nir, A. // Physics of Fluids;Oct2003, Vol. 15 Issue 10, p3006 

    The axisymmetric motion of two drops in a viscous fluid under combined effect of gravity and thermocapillarity is considered. The ambient fluid is isothermal far from the drops and the temperature of the leading drop exceeds that of the continuous media. At large Peclet number, thermal boundary...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics