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Interaction of a shock wave with a magnetic field in a medium with finite conductivity
Authors:P. P. Volosevich  S. P. Kurdyumov  Yu. P. Popov
Abstract:We consider the process of the interaction of aplanar shock wave with a magnetic field (impact on a ldquomagnetic wallrdquo) in a medium having finite conductivity.The problem cannot be solved analytically in the general form. Numerical methods are used to study the problem. A computer is used to calculate the complete system of one-dimensional nonsteady equations of MHD with finite conductivity which depends on temperature in a nonlinear fashion. Results are also presented of particular analytic solutions obtained under simplifying assumptions.We discuss the dependence of the process dynamics on the magnitude of the magnetic field intensity and the law of variation of the medium conductivity with temperature.In the numerical calculations we note the formation of a T-layer, a phenomenon which occurs under definite conditions in unsteady MHD problems [1].In conclusion the authors wish to thank N. G. Basov, A. A. Samarskli, and O. N. Krokhin for posing the problem and for fruitful discussions, and also D. A. Gol'din and A. A. Ivanov for carrying out the numerical calculations.
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