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To study the possible effect of the side pinch on the steady‐state current and the steady‐state shock speed of a magnetically driven shock tube, a semiempirical model is formulated. The time history of the current, the radial and the translational motion of the current‐carrying region are expressed by three interacting nonlinear equations with five adjustable parameters describing the variation of the electric circuit elements, the geometry of the shock tube, and the initial running conditions. Within the range of practical interest for values of the parameters investigated, computational results show that the current‐carrying region oscillates radially, but the current and the translational velocity of the current‐carrying region approach the quasi-steady state rapidly. The deviation of the current from its “steady‐state” value (when the pinch effect is absent) in no case amounts to more than 5%.

Side-Pinch Effect of a Magnetically Driven Shock Tube with Parallel Plate Electrodes