Supersonic Flow And Shock Waves a Manual On the Mathematical Theory of Non Line

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Supersonic Flow And Shock Waves a Manual On the Mathematical Theory of Non Line
Richard Courant
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Thrust 250 85. Perfect nozzles 253 B. Conical Flow 86. Qualitative description . 255 87. The differential equations 256 88. Conical shocks 259 C. Spherical Waves 89. General remarks 262 90. Analytical formulations 263 91. Special solutions 264 92. Discussion of special cases 266 CONFIDENTIAL CONFIDENTIAL xii Page BIBLIOGRAPHY 271 AUTHORS LISTED IN BIBLIOGRAPHY 279 LIST OF SYMBOLS 281 CONFIDENTIAL CONFIDENTIAL INTRODUCTION Violent disturbances - such as result from detonation of explo- sives, fr...om flow through nozzles of rockets, from supersonic flight of projectiles, or from impact on solids - differ greatly from the "linear" phenomena of sound, light, or electromagnetic signals. In contrast to the latter, their propagation is governed by non-linear differential equations, and as a conseauence, the familiar laws of superposition, re- flection, and refraction cease to be valid; but even more novel features appear, among which the occurrence of shock fronts is the most conspicu- ous. Across shock fronts the medium undergoes sudden and often consider- able increases in pressure and temperature.

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