By G.F. Hewitt
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61) Hence the relationship between the dependent variable α and the independent variables x, vG, V L , is prescribed by the assumptions of the analysis (the most important being absence of phase interaction). Rearrangement of eqn. 62) • = It is readily shown that this equation for α is consistent with a slip ratio K=uG/uL V V a \ J ( G I L ) — result also obtained by Fauske (1963) for critical two-phase flow in a pipe. 63) Simple Momentum and Energy Balances 43 where pG and pL are the pressure drops for the gas and liquid phases flowing alone.
Although the agreement is, in general, better than that obtained using the homogeneous model, there is still very considerable scatter, and large errors are to be expected using this method. As will be seen in later chapters, the effects of geometry and methods of injection are very considerable, and it is unlikely that an empirical method can be completely successful unless it takes account of these effects. Lockhart and Martinelli also proposed the correlation of void fraction in terms of Z a n d the proposed correlating line is shown in Fig.
Smith et al (1967) have measured detailed pressure profiles in critical flow in an annular venturi. Typical results from this work are illustrated in Fig. 12. It has now been possible to predict these results by stepwise integration using numerical methods. This work reveals the detailed complexities of critical flow, and it is only by such measurements that a better understanding of the phenomenon will be obtained. 1. Introduction In Chapter 3 two-phase flow was discussed in somewhat general terms, and though some aspects of annular two-phase flow were dealt with, no specific reference was made to the interface between the liquid film region and the gas core.