Abstract

The magnetoplasmadynamic (MPD) thruster is of significant interest to the high power in-space propulsion research initiative. This paper introduces a loosely-coupled computational method that combines the Galerkin Finite Element Method (GFEM) and the Least Squares Finite Element Method (LSFEM) that is applicable for designing practical self-field and applied-field MPD thruster. Theoretical development for a fully ionized single temperature computational model addresses potential understanding of geometric and parametric scales, and predictions of self-field magnetic effects. Documented results on practical twodimensional computational domain show the capability of the GFEM/LSFEM algorithm under different parametric design conditions. NOMENCLATURE bj- Local Magnetic Field (Weber/m2) B - Magnetic Field (Weber/m2) E-Electric Field (V/m) h - Enthalpy (J/kg) J- Current Density (A/m2) k - Thermal Conductivity (W/m-K) p - Pressure (Pa) R - Gas Constant (J/kg-K) T - Temperature (K) V - Velocity (m) p - Density (kg/m3) jLif - Fluid Viscosity (Pa-s) |io - Permeability of Free Space (W/A-m) Ec - Electron Charge (c) Im - Ion Mass (kg) Q - Hall Parameter Pn - Plasma Number Density (p/I Particles/m3) a - Electrical Conductivity (mho/m) 4 - Voltage (V)

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