SUMMARYIn order to investigate the effects of plasma conditions on fluid-dynamical prediction of the performance of an MHD generator, local steady-state calculations are employed. The effective Hall parameter and effective electrical conductivity are estimated by taking the linear theory of ionization instability into account. The results of analytical calculations are compared with experimental ones. Although a fully ionized seed condition, which suppresses instability, provides the highest power generation performance, the condition could be realized only at a high seed fraction in the experiments. It is suggested by the analysis that the fully ionized seed plasma produced at a low seed fraction is desirable in order to achieve high performance. The analysis implies that instability due to insufficient or excessive electron temperatures is a performance-limiting factor. The effects of plasma conditions on performance are clearly explained by the present simple analysis. Key words: MHD generator; ionization instability; fully ionized seed condition; generator performance.
IntroductionIn recent researches on nonequilibrium closed-cycle MHD generation, most attention has been paid to the improvement of isentropic efficiency, where h I and h f denote the initial and final total enthalpy, respectively), as well as the enthalpy extraction ratio (= electrical output power/thermal input). Previous work has suggested that a disk MHD generator with a small cross-sectional area ratio (outlet cross section/inlet cross section of the MHD generator) makes it possible to obtain the high isentropic efficiency [1]. It has been stated that the relationship between the enthalpy extraction ratio and isentropic efficiency depends on the cross-sectional area ratio and the Mach number at the exit of the generator. The effects of stagnation pressure on the performance have also been examined in order to elucidate the fluid-dynamical features of the disk MHD generator [2].In the present work, local steady-state analytical calculations are conducted to investigate the effect of plasma conditions on the performance of the MHD generator, taking the linear theory of ionization instability into account. It is well known that ionization instability results in nonuniformity of the plasma, thus degrading power generation performance. Although fluid-dynamical investigation of the performance has been conducted, the effect of the behavior of the nonequilibrium MHD seed plasma has never been considered in previous investigations [1,2]. The present study is based on a simple analytical calculation rather than a numerical simulation, solving differential equations to improve the analytical study. The results of the analytical calculation are compared with experimental results.
Procedure of Analysis
Exchange of electron energyCesium-seeded argon gas is used as a working medium for the MHD generator. The nonequilibrium seeded plasma consists of argon atoms, argon ions, cesium atoms, cesium ions, and electrons. In the present analysis, a twotemperatur...