Use of the Rankine-Hugoniot equations

In summary, equations (1), (6)-(9), (12), and (15) comprise the independent relations between upstream and downstream conditions. If all upstream conditions (including o) were specified, then these iV -f 5 equations would determine the downstream flow variables,  

FIGURE 2.2. The determination of downstream flow properties from the Hugoniot curve. 

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Other EoS have not been considered in this brief outline for the sake of brevity Poirier and Tarantola (1998), Jackson and Rigden (1996), Kumar and Bedi (1996), Holzapfel (1996), Kumar (1995). Also the use of the Rankine-Hugoniot equations related to shock wave methods (Ahrens 1987) is not discussed here. 

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