Brazilian Journal of Physics
On-line version ISSN 1678-4448
VIANA, Ricardo L.. Adiabatic plasma rotations in orthogonal coordinate systems. Braz. J. Phys. [online]. 2001, vol.31, n.1, pp.58-64. ISSN 1678-4448. http://dx.doi.org/10.1590/S0103-97332001000100011.
An equation for MHD stationary equilibrium of rotating plasmas in the azimuthal direction is derived in the case of an orthogonal curvilinear coordinate system. The basic assumptions we made are: (i) there is an ignorable coordinate so that surface quantities are independent of it; (ii) the entropy is a surface quantity.