Abstract
A Faraday segmented MHD generator is considered. The author noticed that the existing models referring to an ideally segmented channel, i.e. containing the quasi-one-dimensional (Q1D) electrodynamical part (the electric current density vector in a working fluid has only one component), are inconsistent, i.e. illegitimate regarding the equation of conservation of charges. In other words, the working fluid electrical resistance (not σ-the electrical conductivity, as it was believed earlier) is taken in a wrong way. The new Q1D model, with the new electrodynamical part, is formulated based on the assumption that the Hall field can be considered as constant over the small distance along the channel. This assumption conserves the dependences σ( x, y, z) and β( x, y, z) (Hall parameter) in the model, which is an advantage in comparison with the corresponding models [4], in which σ and β are independent of z. Moreover, the new expressions for the electrical output of the generator are simple and explicit, which is of great importance from the point of view of computation. Particularly, the generator with a combustion products plasma as a working fluid—typical equilibrium generator (the temperature of the free electrons equals the temperature of the working gas), is considered. The experimental results of a shock-tube driven fossil fuel fired MHD generator investigation [1] are used for comparison with the model calculations. While other models cannot even follow the measured electrical output in the behaviour along the channel, the new model can be considered as a reliable tool for design of shape and size of the generator channel.
Published Version
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