Abstract
Nonsteady, one-dimensional, fissionable gas motion induced in a semi-infinite, cylindrical tube of constant cross section by a spatially uniform neutron pulse, irradiating an initial segment of the tube, is formulated in terms of the method of characteristics, and a numerical solution describing the motion, prior to development of strong shock discontinuities, is obtained by finite differences with the use of an IBM 7094 computer. Resulting pressure pulses are compared with those obtained from a ``bulk expansion'' model, which assumes spatial uniformity within the irradiated gas. Although physical validity of this model has been ascertained by a satisfactory agreement between the two, an improved version, in the form of a ``constant pressure gradient,'' model is proposed. Pressure pulses predicted by these models, which neglect wave interactions, are accurate for neutron pulse widths of the order of twice the irradiation length divided by the initial sound speed in the undisturbed gas.
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