Some stationary solutions of two‐fluid magnetohydrodynamic equations

1992 ◽  
Vol 4 (12) ◽  
pp. 3856-3862 ◽  
Author(s):  
K. Avinash
Keyword(s):  
Stationary Solutions ◽  
Magnetohydrodynamic Equations ◽  
Two Fluid

scholarly journals Self-intersecting Interfaces for Stationary Solutions of the Two-Fluid Euler Equations

Annals of PDE ◽  
2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Diego Córdoba ◽  
Alberto Enciso ◽  
Nastasia Grubic
Keyword(s):  
Euler Equations ◽  
Stationary Solutions ◽  
Two Fluid

scholarly journals Sub-Alfvénic reduced magnetohydrodynamic equations for tokamaks

2017 ◽  
Vol 83 (3) ◽  
Author(s):  
W. Sengupta ◽  
A. B. Hassam ◽  
T. M. Antonsen
Keyword(s):  
Mhd Equations ◽  
Two Dimensional ◽  
Sound Waves ◽  
Magnetohydrodynamic Equations ◽  
Zonal Flows ◽  
Tearing Modes ◽  
Minor Radius ◽  
Self Consistent ◽  
Shear Alfven Waves ◽  
Two Fluid

A reduced set of magnetohydrodynamic (MHD) equations is derived, applicable to large aspect ratio tokamaks and relevant for dynamics that is sub-Alfvénic with respect to ideal ballooning modes. This ordering optimally allows sound waves, Mercier modes, drift modes, geodesic-acoustic modes (GAM), zonal flows and shear Alfvén waves. Wavelengths long compared to the gyroradius but comparable to the minor radius of a typical tokamak are considered. With the inclusion of resistivity, tearing modes, resistive ballooning modes, Pfirsch–Schluter cells and the Stringer spin-up are also included. A major advantage is that the resulting system is two-dimensional in space, and the system incorporates self-consistent and dynamic Shafranov shifts. A limitation is that the system is valid only in radial domains where the tokamak safety factor, $q$, is close to rational. In the tokamak core, the system is well suited to study the sawtooth discharge in the presence of Mercier modes. The systematic ordering scheme and methodology developed are versatile enough to reduce the more general collisional two-fluid equations or possibly the Vlasov–Maxwell system in the MHD ordering.

RELAXATION AND COLLECTIVE MOTION IN SUPERCONDUCTORS. A TWO-FLUID DESCRIPTION

1978 ◽  
Vol 39 (C6) ◽  
pp. C6-488-C6-489 ◽  
Author(s):  
C. J. Pethick ◽  
H. Smith
Keyword(s):  
Collective Motion ◽  
Two Fluid

ULTRASOUND-MODULATED TWO-FLUID ATOMIZATION OF VISCOUS NEWTONIAN LIQUIDS

2003 ◽  
Vol 13 (4) ◽  
pp. 395-412
Author(s):  
Maha Yamak ◽  
Shirley C. Tsai ◽  
Ken Law
Keyword(s):  
Newtonian Liquids ◽  
Two Fluid
Sign in / Sign up

Export Citation Format

Share Document