Physical divergence ratio

Now taking the exit area at the section B-B rather than C-C seems physically more intuitive for all the nozzles, since B-B represents the limit of physical constraint on the flow. Therefore we shall define a new term, the physical divergence ratio , as ... 

Nominal divergence ratio Physical divergence ratio... 

While it would be wrong to claim too much from a graph with only four points, there does appear to be a reasonable correlation between the calculated and the physical divergence ratio (correlation coefficient =... 

Figure A6.9 Calculated divergence ratio vareua physical divergence ratio.

In Chapter 9, Section 3.3.5, we noted that for d = 4 — 2/p where p is an integer, the elimination of short-range divergences has the effect that not only powers of z but also powers of In z could appear in the expansions of partition functions. However, we also observed that all physical quantities that can be expressed as ratios of partition functions could be expanded in powers of z, without logarithmic terms. 

This gives a great deal of information on the function iE0(z). Obviously, the series is divergent, since the ratios of the moduli of successive coefficients increases with n. However, we may hope to extract interesting results from it concerning the value of X0(z) for any z. General principles have to be applied in order to rearrange the series.7 For this, we need an adequate physical parameter. 

Therefore, only two amplitudes are independent. It has been established theoretically [1, 5] and verified experimentally [6, 7] that all fluids and fluid mixtures, regardless of variety and complexity in their microscopic structure, belong to the same universality class, i.e. they have the same universal values of the critical exponents (Table 2) and of the critical-amplitude ratios (Table 1) as those of the 3-dimensional Ising model. The physical reason of the critical-point universality originates from the divergence of the order-parameter fluctuations near the critical point. 

The mean-field behavior becomes more pronounced when the ratio Ac = o/ D increases. This feature is illustrated in Fig. 8, where the crossover temperature defined as the coordinate of the inflection point in the dependence 7eff on log AT is plotted as a function of ( o/ d) = A /cf. In polymer solutions the additional length has a clear physical meaning it is of the order of the inverse radius of gyration of the polymer molecules which diverges when the molecular weight Mw becomes infinite [24]. In the... 

---