Magnetohydrodynamic equations for toroidal plasmas

M. Asif
DOI: 10.4236/ns.2010.22015                

Abstract

A set of reduced MHD equations is derived us-ing the standard energy balance equation. By applying assumption of internal energy, i.e. , a set of reduced magnetohydro-dynamic equations are obtained for large aspect ratio, high tokamaks. These equations in-clude all terms of the same or der as the toroidal effect and only involve three variables, namely the ?ux, stream function and internal energy.

Keywords

Magnetohydrodynamics; Aspect Ratio; Viscosity

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Wesson, J.A. (1978) Hydromagnetic stability of toka-maks. Nuclear Fusion, 18(1), 87-132.
[2]	Fitzpatrick, R., Hastie, R.J., Martin, T.J. and Roach, C.M. (1993) Stability of coupled tearing modes in tokamaks. Nuclear Fusion, 33(10), 1533-1556.
[3]	Strauss, H.R. (1983) Finite-aspect-ratio MHD equations for tokamaks. Nuclear Fusion, 23(5), 649-655.
[4]	Strauss, H.R. (1977) Dynamics of high tokamaks. Physics Fluids, 20(8), 1354-1360.
[5]	Ren, S.M. and Yu, G.Y. (2001) Reduced equations in toroidal geometry. Chinese Physics Letters, 18(4), 556-558.
[6]	Frigione, D. et al. (1996) High density operation on frascati tokamak upgrade. Nuclear Fusion, 36(11), 1489- 1499.
[7]	Minardi, E. et al. (2001) Stationary magnetic entropy in ohmic tokamak plasmas: Experimental evidence from the TCV device. Nuclear Fusion, 41(1), 113-130.