Further Results on Post-MHD
The exact solution for the evolution equation of ideal magnetohydrodynamics (MHD) for a given velocity profile and a given initial magnetic field was obtained by Callebaut and coworkers 1-4 This allows the exact calculation of the other electromagnetic quantities, in particular of the neglected term, the displacement current, and thus to verify the MHD-approximation and possibly to make an iteration I.e., to pass from MHD to Post-MHD. This paper continues previous work on Post-MHD 5 where spherical coordinates and an involved differential rotation profile were used in view of the application to the Sun. Here we give the rel-evant solution of the evolution equation in Cartesian coordinates. Two very simple illustrations are considered to give a clear insight. The drift velocity is calculated too. It turns out that this represents a kind of Lenz law,i.e., it opposes the driving motion. The drift velocity is maximal and equal but opposite to the driving velocity when the magnetic field component in the direction of the velocity vanishes. As a side result the question of quasi-neutrality is considered (cf. the concept of non-quasi-neutral plasmas or chasmas).
D.K.Callebaut G.K.Karugila
Physics Department,CDE,University of Antwerp,Antwerp,B-2610,Belgium Sokoine University,Morogoro 3038,Tanzania
国际会议
Progress in Electromagnetics Research Symposium 2008(2008年电磁学研究新进展学术研讨会)(PIERS 2008)
杭州
英文
1-4
2008-03-24（万方平台首次上网日期，不代表论文的发表时间）