Abstract

The theoretical calculation of electron transport properties in partially ionized gases using a Laguerre (or Sonine) polynomial expansion has met with convergence difficulties in certain cases, in particular, when there is a Ramsauer minimum in the electron-neutral momentum transfer cross section. In this work, which deals specifically with electrical conductivity, it is shown that the difficulties can be avoided by choosing a (nonorthogonal) expansion that includes a limiting-case analytical solution. With some simplifications, the approach leads to a practical formula for the conductivity involving generalized collision integrals. A formula based on a BGK-type approximation to the electron–electron collision operator is also given. Calculated conductivities are found to agree well with the more sophisticated expansion method.

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