Brill correlations

The following steps are used to calculate the pressure drop using Mukherjee and Brill correlations. 

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Beggs and Brill correlations showed a consistent tendency seriously to overpredict liquid holdup on all data sets except the low-pressure pipeline. 

The Beggs and Brill correlation significantly underpredicts pressure loss (34%) due to the assumption of smooth pipe friction factors. The smooth pipe friction factors in the original correlations were substituted with rough pipe friction factors to produce revised Beggs and Brill correlations. 

Liquid Hydraulic calculation for noncompressible fluid Vapor Forward — where inlet pressure of a section is known Backward — where outlet pressure of a section is known Two-Phase Using Beggs and Brill correlations. This is preferably used for horizontal and uphill configuration. 

Using Mukherjee and Brill correlations. This is preferably used for downhill configuration. 

It is clear from Table 2.20 that, in comparison to the OLGA correlation, the pressure drop as calculated by Beggs and Brill is conservative, whereas Mukherjee and Brill underestimate the pressure drop. The Beggs and Brill correlation can be used without major concern to calculate pressure drop for horizontal pipe segments. 

One disadvantage of Beggs and Brill correlations is that it calculates rather high liquid holdup for downhill piping. Liquid holdup calculated by the Mukherjee and Brill method is reasonable when compared with the OLGA method. From this point of view, the Mukherjee and Brill method gives a more conservative pressure drop. 

An empirical correlation of holdup was developed by Mukherjee and Brill (1983) based on over 1500 measurements of air with oil and kerosene in horizontal, inclined, and vertical flow (inclination of 90°). Their results for the holdup were correlated by an empirical equation of the form... 

Mukherjee H, JP Brill. Liquid holdup correlations for inclined two-phase flow. J Petrol Tech May 1983, pp 1003-1008. 

B.D. Roos, T.B. Brill, Thermal Decomposition of Energetic Materials 82. Correlations of Gaseous Products with the Composition of Aliphatic Nitrate Esters, Combust. Flame, 128(1-2) (2002) 181-190. Y. Oyumi,... 

A more serious problem, however, is that the initiation of detonation, as already mentioned and to be further discussed, depends upon a complex interplay of various molecular, crystal and physical factors. It can therefore be viewed as remarkable that relatively good correlations have been established between impact sensitivity and a number of different properties, although they are generally limited to a particular class of compounds, e.g. nitroaromatics. The existence of these relationships certainly does not mean that all of these properties (or perhaps any of them) play important roles in detonation initiation, as was pointed out by Brill and James [12,13]. Many of them may be symptoms of some more fundamental factor others may happen to correlate with a more relevant property. 

Brill and James [47] wrote a beautiful yet cynical paper that examined the problem of low quality or illogical correlations between molecular properties and sensitivity. They focused on a set of four closely related amino-substituted trinitrobenzenes that are often used as model compounds [46] in the sensitivity... 

Klauder JV, Brill FA (1947) Correlation of boiling ranges of some petroleum solvents with irritant action on skin. Arch Dermatol 56 197-215... 

Mittal et al. (1999) modeled the coil-soaker as a PFR coupled with CSTRs in series. The furnace pressure drop was estimated using the Beggs and Brill (1973) correlation. Coil pressure drop, coil-soaker temperature profiles, and residue conversion were predicted within a narrow range of accuracy. The model was developed for one feed and for a single cracking reaction, i.e., vacuum residue to gas and naphtha. 

Mukherjee and Brill pressure-loss correlation performed very well at low liquid loading but performed less well on the low-pressure pipeline where liquid loadings were significantly greater. 

The structure of the form is as shown in Figure 2.21. The calculation can be done for two correlations (1) Beggs and Brill and (2) Mukherjee and Brill. The existing calculation method uses only the vapor density as entered by the designer. The program does not calculate vapor density from the user input, as is the case for compressible fluid calculations. Therefore, the data entered in the cells inlet temperature, and vapor molecular weight will not be used for the calculation, and the designer may omit these cells. 

From the results presented in Table 2.22, it is difficult to predict which of the three correlations gives consistent results. In some cases, the Beggs and Brill method and, in others, the Mukherjee and Brill method match well with OLGA. 

Mukherjee, H. and Brill, J.P., Liquid holdup correlations for inclined two-phase flow. Journal of Petroleum Technology, May, 1003-1008, 1983. Mukherjee, H. and BriU, J.P., Pressure drop correlations for inclined two-phase flow. Journal of Energy Resources Technology 107, December, 549-554,1985. Gregory, G.A., Mandhane, J., and Aziz, K., Some design consideration for two-phase flow in pipes. Journal of Canadian Petroleum Technology, Janu-ary-March, 65-71,1975. 

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