TITLE

High-β equilibria in tokamaks with toroidal flow

AUTHOR(S)
Fitzgerald, Michael; Sharapov, Sergei; Hole, Matthew
PUB. DATE
September 2011
SOURCE
Physics of Plasmas;Sep2011, Vol. 18 Issue 9, p092508
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We extend existing 2-D analytical high-β equilibrium solutions obtained by Cowley et al. [Phys. Fluids B 3, 2066 (1991)] and Hsu et al. [Phys. Plasmas 3, 266 (1996)] to the case of toroidally flowing plasma, assuming ideal magnetohydrodynamics and isothermal magnetic surfaces. Invoking the ordering βq2>>[variant_greek_epsilon]2 and Mφ2q2>>[variant_greek_epsilon], we solve the boundary layer problem, re-obtaining the static solution in the zero flow limit. The phenomenon of extreme plasma diamagnetism in the static solution was found to be reduced due to centrifugal drift currents for significant toroidal flow. Example equilibrium calculations are presented using plasma parameters which are approaching attainable values in next generation spherical tokamaks.
ACCESSION #
66184726

 

Related Articles

  • The Effect of Wall Suction/Injection on MHD Marangoni Convection Boundary Layer Flow in Nanofluid. Hamid, Rohana Abdul; Arifin, Norihan Md. // AIP Conference Proceedings;2014, Vol. 1605, p386 

    The problem of Marangoni-driven boundary layer flow over a permeable flat surface in an electrically conducting nanofluid is considered in the present paper. Numerical solutions of the similarity equations are obtained using the shooting method. Three types of nanoparticles, namely copper (Cu),...

  • Magnetohydrodynamic boundary layer on a flat plate: Further analytic results. Shivamoggi, Bhimsen K.; Rollins, David K. // Journal of Mathematical Physics;Jul99, Vol. 40 Issue 7, p3372 

    Focuses on analytic results that are deduced with the magnetohydrodynamic boundary layer equations for a flat plate. Deduction of the asymptotic behavior of the solutions using the scaling group method; Use of an analytic perturbative behavior procedure to determine an approximate solution that...

  • Dynamic non-equilibrium wall-modeling for large eddy simulation at high Reynolds numbers. Kawai, Soshi; Larsson, Johan // Physics of Fluids;Jan2013, Vol. 25 Issue 1, p015105 

    A dynamic non-equilibrium wall-model for large-eddy simulation at arbitrarily high Reynolds numbers is proposed and validated on equilibrium boundary layers and a non-equilibrium shock/boundary-layer interaction problem. The proposed method builds on the prior non-equilibrium wall-models of...

  • MHD Boundary Layer Flow of a Maxwell Nanofluid over a Permeable Vertical Surface. Bakar, Nor Ashikin Abu; Zaimi, Khairy; Hamid, Rohana Abdul // AIP Conference Proceedings;2014, Vol. 1605, p422 

    The MHD boundary layer flow of a Maxwell nanofluid over a permeable vertical surface is studied. The governing nonlinear partial differential equations are transformed into ordinary differential equations using similarity transformation and solved numerically using a shooting method. The effects...

  • Effect of thermal non-equilibrium on transient hydromagnetic flow over a moving surface in a nanofluid saturated porous media. Muthtamilselvan, M.; Prakash, D.; Doh, Deog-Hee // Journal of Mechanical Science & Technology;Sep2014, Vol. 28 Issue 9, p3709 

    This work is made to study the effect of local thermal non-equilibrium (LTNE) on transient MHD laminar boundary layer flow of viscous, incompressible nanofluid over a vertical stretching plate embedded in a sparsely packed porous medium. The flow in the porous medium is governed by simple Darcy...

  • Multiple scale modeling of turbulent nonequilibrium boundary layer flows. Gleize, V.; Schiestel, R.; Couaillier, V. // Physics of Fluids;Oct96, Vol. 8 Issue 10, p2716 

    Investigates multiple scale models in order to improve modeling of turbulent nonequilibrium boundary layers. Calibration of the model on the standard equilibrium boundary layer; Prediction of nonequilibrium turbulent flows; Multiple scale model predictions.

  • Nonlinear evolution of double tearing modes in tokamaks. Fredrickson, E.; Bell, M.; Budny, R. V.; Synakowski, E. // Physics of Plasmas;Oct2000, Vol. 7 Issue 10 

    The Δ[sup ′] formalism with neoclassical modifications has proven to be a useful tool in the study of tearing modes in high β, collisionless plasmas. In this paper the formalism developed for the inclusion of neoclassical effects on tearing modes in monotonic q-profile plasmas is...

  • Analytic, high-β solutions of the helical Grad–Shafranov equation. Smith, D. R.; Reiman, A. H. // Physics of Plasmas;Aug2004, Vol. 11 Issue 8, p3752 

    Analytic, high-β [β∼O(1)], helical equilibrium solutions are presented 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...

  • Steady streaming in oscillatory viscous flow under a transverse magnetic field. Cuevas, Sergio; Ramos, Eduardo // Physics of Fluids;May97, Vol. 9 Issue 5, p1430 

    Focuses on the oscillatory laminar boundary layer flow of an electrically conducting fluid near an insulating solid body under a transverse, uniform magnetic field. Assumption on the production of a two-dimensional flow; Solution of boundary layer equations; Reduction of magnetohydrodynamic...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

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

Try another library?
Sign out of this library

Other Topics