The flow of a conducting gas jet with aligned magnetic field.

by Stanley A. Berger

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When an infinitely conducting fluid flows under the fluence of a magnetic field in such a way that the velocity and magnetic fields are aligned, the governing equations may formally be reduced to those of ordinary gas dynamics. The equations are still nonlinear but, if one restricts attention to plane flows, the hodograph technique may be solved exactly. The difficulty then remaining is to satisfy the boundary conditions. Only for restricted classes of problem: the flow of a jet of gas out of a slit in a rectangular channel. The method used is a modification of the original method of Chaplygin for nonconducting gas jets. When an infinitely conducting fluid flows under the influence of a magnetic field in such a way that the velocity and magnetic fields are aligned, the governing equations may formally be reduced to those of ordinary gas dynamics. The equations are still nonlinear but, if one restricts attention to plane flows, the hodograph technique may be employed. The equations in the hodograph plane are linear and may be solved exactly. The difficulty then remaining is to satisfy the boundary conditions. Only for restricted classes of problems can this be done. This Memorandum treats one such class of problem: the flow of a jet of gas out of a slit in a rectangular channel. The method used is a modification of the original method of Chaplygin for nonconducting gas jets. 38 pp.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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