Axial conduction and radiation losses in a stabilised linear pinch

This paper presents a theory of conduction and radiation losses in a linear pinched discharge under steady conditions. The model selected is one in which the ohmic heating in a thin skin of current is equated to the radiation and axial conduction losses, the discharge being considered at a uniform pressure determined by the Bennett relation modified to include the effect of a possible completely trapped axial magnetic field. Formulae for temperature and other physical quantities are presented and limiting forms considered in a variety of circumstances. The effect of thermoelectric phenomena is considered and conditions under which the treatment is likely to be applicable discussed.