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A method for estimating the maximm temperature in a steady-state, centrally constricted, highly ionized deuterium discharge between electrodes was previously described. The analysis applied to discharges not too long, so that bremsstrahlung loss could be neglected compared to the main heat loss by conduction to the electrodes, and thermoelectric effects were not included. The analysis is generalized to include thermoelectric effects, and carried through for strictly longitudinal flow, for which at every point within the dischange the heat flux vector q and the current density vector j are parallel to the magnetic field H. A simple continuity argument shows that q + Vj = 0, where V is the electric potential, but now the equipotential surface on which q = V = 0 is displaced from midway between the electrodes nearly to the cathode. In the linear case the maximum temperature is displaced somewhat from the midway position towards the anode. A similar remark applies to the constricted discharge. The important ibfiuence of inclusion of thenmoelectric effects is that the maximum temperature is increased by approximately 14% for about the same applied voltage producing a given current in a particular discharge geometry. The characteristic relating the maximum temperature and resistancemore » ratio f and the radial compression ratio nu obtained in the earlier paper is not changed by thenmoelectric effects. Comparison of voltage and also temperature versus distance characteristics for linear and constricted discharges without and with thermoelectric effects is given by means of graphs. (auth)« less

The Influence of Thermoelectric Effects on the Maximum Temperature in a Radially Constricted Gas Discharge Between Electrodes