Steady, two-dimensional, magnetogasdynamic flows in a finite region are investigated. In this paper the case of aligned fields is treated. Outside of the flow a resting gas with arbitrary electrical conductivity is assumed. As the induced magnetic field can propagate throughout the resting gas, all the flow is strongly influenced by this adjacent field-occupied region.
This interaction between the field in the resting ambient gas and the flow can be formulated as an integral equation, the solution of which is given.
In a number of examples the applicability of this formalism is demonstrated. So the flow around a body, the reflection of waves at a boundary, and the influence of an applied magnetic field, are investigated for a flow in the halfspace and for a jet of finite thickness. Besides the flow variables, the location of the boundary and the induced field outside of the flow, are calculated.
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