Some Contributions to Design Theory of Magnetohydrodynamic Generator Duct

Abstract

With the intention of giving some new contributions to the design theory of the magnetohydrodynamic generator duct, first we derive the solutions from the well-known basic quasi one-dimensional magnetohydrodynamic equations for the ideal segmented electrode Faraday generator with constant velocity in the case, where it is assumed that the working plasma fluid has the variable conductivity, which is expressed by a powerexponential formula of temperature and pressure in the state of thermal equilibrium ionization, or moreover by a power one of temperature, pressure, current and magnetic flux densities in nonequilibrium ionization. Next we introduce the numerically solvable differential equations and some solutions from the magnetohydrodynamic equations for the linear Hall generator with constant velocity in the case, where the conductivity is expressed by a power formula or a power-exponential one of temperature and pressure, and the Hall parameter by the power of one of them.