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The objective of this paper is the formulation of general macroscopic models that can be used in numerical simulation of spark discharge processes in inert gases. The governing equations for a non-polar single-substance continuum material body exposed to thermo-mechanical and electromagnetic actions are formulated in the Eulerian, as well as in the Lagrangian, description. One-dimensional, cylindrically symmetric models are derived in both descriptions. The previously given model of Plooster is reviewed and corrected. Results from simulations are presented, verifying the fact that significant dissimilarities concerning amplitude and speed of the shock will appear when the correct governing equations are not used in the simulation.

are the kinematical Rivlin-Ericksen tensors of the first and the second kind.The stability equations for lineal flows between parallel planes of a second grade Rivlin-Ericksen magnetofluid are given. Some numerical results have been obtained for the case where the external magnetic field is parallel to the flow direction, and we have started calculations for the case where the The stability of the steady state lineal flow between two planes is studied for the cases when the imposed external magnetic field is Parallel to the flow direction (xi) and perpendicular to the external magnetic field is perpendicular to the planes. planes (x,; see Fig. 1). It follows from eqs. ( 1)-( 6) that in the undisturbed state the flow velocities in the two cases are

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