Shock wave dynamics: derivatives and related topics by George Emanuel
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This delightful monograph treats shock waves from an analytical approach assuming perfect gas. The perfect gas assumption is not as restrictive as may at first appear since the assumption is valid for a large number of applications, particularly in transonic and supersonic atmospheric flight. In situations where the assumption is not valid such as in steam or at very high Mach numbers, it is still instructive to undertake an initial “ideal” analysis prior to a more sophisticated one that requires at times substantial effort.
Emanuel has made significant contributions to the theory of shock waves and has selected a number of topics that reflect those contributions. He meticulously develops the topic of “derivatives”. The idea of a derivative can be quite astounding on first reading since the shock is a discontinuity. Emanuel utilizes the concept of a “flow plane”  to overcome the problem of the discontinuity for increasingly complex scenarios, including nonuniform, unsteady and...
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