A Numerical Study of Shock Formation in Cylindrircal and Two-Dimensional Shock Tubes

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Shock formation process and shock tube performance are investigated numerically. Numerical method applied is FLIC method proposed by Gentry, Martin and Daly for solving compressible fluid flows. A model of diaphragm opening process which does not base on the usual one-dimensional assumption is presented. Four cases for cylindrical shock tubes and one for two-dimensional were calculated for diaphragm pressure ratios of 100 and 1000. Diaphragm opening times were varied from about 100 to 500μsec. Shock formation process predicted from present calculations shows a qualitative agreement with experimental results. Shock tube performance was also calculated and compared with those predicted by ideal shock tube theory and other models such as formation-from-compression model proposed by White and multi stage model proposed by Ikui and Matsuo. Presented result shows a close agreement with that predicted by multi stage model.
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