Critical region numerical evaluation

Numerical analysis now indicates that for the terms which have been evaluated so far P, provides the dominant contribution to a,. This is illustrated in Table IV by the breakdown of alt into contributions from graphs having C = 1-5 (the data were supplied by M. F. Sykes). Hence we are tempted to investigate an approximation in which only the polygon is taken into account, and all other types with C > 1 are ignored. We shall call this the self-avoiding walk approximation to the specific heat Ch (second derivative with respect to W of In Z) and its behavior in the critical region is characterized by the function... 

A numerical evaluation of the condensation discontinuity is performed for several values of the critical saturation ratio x - State 1 is related isentropically to a fixed reference state 0. In Fig. 1. the Rankine-Hugoniot curves and the Ma2 Ma relations are shown for a mixture of water vapour and nitrogen gas. Only those parts of the curves are shown that correspond to entropy increase, to real massflux and to positive droplet mass fraction downstream the discontinuity. The Chapman-Jouguet points, defined by Ma2 = 1, separate the curves in four different regions ... 

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