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In this short note, we present some work on investigating electrontemperatures and potentials in steady or unsteady dilute plasma flows. Theanalysis is based on the detailed fluid model for electrons. Ionization,normalized electron number density gradients, and magnetic fields areneglected. The transport properties are assumed as local constants. With thesetreatments, the partial differential equation for electron temperaturedegenerates as an ordinary differential equation. Along an electron streamline,fundamental formulas for electron temperature and plasma potential areobtained. These formulas offer significant insights, 1). for steady flow, theelectron temperature and plasma potential distributions along an electronstreamline include two exponential functions, and the one for plasma potentialincludes an extra linear distribution function; 2). for unsteady flows, boththe temporal and spatical parts include potential functions.

Fundamental Electron and Potential Relations in Dilute Plasma Flows