The processes and variation of parameters inside an equilibrium MHD ch
annel used as a generator or propulsion device are presented and exami
ned. The performance and internal processes can be described by a set
of equations comprising a two-level particle model for the seeding sub
stance, coupled with the transport equations for the carrier gas. The
one-dimensional model assumes uniform properties over the channel cros
s-sectional area and allows for variations of velocity, pressure, temp
erature, density, electric field, current density and electrical condu
ctivity in the direction of the flow. The plasma composition is determ
ined by particle balance equations which include collisional, radiativ
e, diffusion and flow processes. This comprehensive model should aid a
nd result in an accurate description of the processes inside a MHD cha
nnel and allow for a better interpretation of experimental results. An
example of a linear constant Mach number segmented electrode generato
r operating in the Faraday mode with a helium, seeded with a few perce
nt caesium, gaseous mixture is presented in this study. The calculatio
ns for typical MHD generator values of pressure, temperature, velocity
, magnetic field, seed fraction and electrical efficiency show large d
eviations on predicted performance between the particle balance and Sa
ha-Boltzmann models. The generator performance is also sensitive to th
e seed radiation and convection processes.