Homogeneous Deformation of a Two-Fluid Plasma with Allowance for Electron Inertia

A method of finding the homogeneous deformations of a two-fluid plasma with allowance for the electron inertia is proposed. By homogeneous deformation is meant an axisymmetric plasma flow with a linear dependence of the radial velocity on the radius. Three families of homogeneous deformations arc found using this method. One of these families, consisting of deformations with an arbitrary law of variation of the total current, is of particular interest with reference to plasma column dynamics. The method proposed is based on the reduction of the equations of two-fluid plasma dynamics to single-fluid equations of the hydrodynamic type (the equations of electromagnetic hydrodynamics (EMHD)) with a non-diagonal internal stress tensor, three-parameter thermodynamics, and a nonlocal form of the generalized Ohm's law. Possible applications of the exact solutions found to the analysis of the data obtained using certain experimental apparatus are discussed.A method of finding the homogeneous deformations of a two-fluid plasma with allowance for the electron inertia is proposed. By homogeneous deformation is meant an axisymmetric plasma flow with a linear dependence of the radial velocity on the radius. Three families of homogeneous deformations arc found using this method. One of these families, consisting of deformations with an arbitrary law of variation of the total current, is of particular interest with reference to plasma column dynamics. The method proposed is based on the reduction of the equations of two-fluid plasma dynamics to single-fluid equations of the hydrodynamic type (the equations of electromagnetic hydrodynamics (EMHD)) with a non-diagonal internal stress tensor, three-parameter thermodynamics, and a nonlocal form of the generalized Ohm's law. Possible applications of the exact solutions found to the analysis of the data obtained using certain experimental apparatus are discussed.