Correlations for a and

Search the literature for correlations for A, and holdup to see if they predict a similar scaleup. 

Operate the pilot plant over a wide range of agitator speeds and gas rates to confirm operability and to develop correlations for /A, and holdup applicable to the particular geometry of the pilot reactor. 

The correlations for ay and az in the previous subsection require knowledge of atmospheric variables that may not be available. In that case, one needs correlations for a, and Pasquill stability categories A through F introduced in Chapter 16 provide a basis for such correlations. 

Transfer Coefficient. The design method described depends for its utiHty on the avadabiHty of mass- and heat-transfer coefficients. Typically, ky-a and /i -a are needed. These must be obtained from the standard correlations for mass and heat transfer, from data reported in the Hterature (23—30),... 

Data Reduction Correlations for G and the activity coefficients are based on X T.E data taken at low to moderate pressures. The ASOG and UNIFAC group-contribution methods depend for validity on parameters evaluated from a large base of such data. The process... 

HEAT AND MASS TRANSFER TABLE 5-21 Mass Transfer Correlations for a Single Flat Plate or Disk—Transfer to or from Plate to Fluid Concluded)... 

Fair s empirical correlation for sieve and bubble-cap trays shown in Fig. 14-26 is similar. Note that Fig. 14-26 incorporates a velocity dependence (velocity) above 90 percent of flood for high-density systems. The correlation implicitly considers the tray design factors such as the open area, tray spacing, and hole diameter through the impact of these factors on percent of flood. 

Flooding of Agitator Impellers A review of impeller flooding has been done by Sensei et al. [AlChE Symp. Series No. 283, 89 (1993)] and they have offered the following flooding correlation for a six-bladed disk-type turbine. 

This has been shown to correlate for a wide variety of tower packings, various operating conditions, and physical properties of the solute and inert gases. The k(j calculated must be used in conjunction with the effective interfacial areas determined by Shulman [65] Figure 9-47, to establish a reliable value for kGa. Figure 9-47 should be used with the abscissa as G/Vp/0.075 for inert gas other than air [67] ... 

Pierce proposes and illustrates good agreement between the test data and the correlation for a smooth continuous curve for the Colburn factor over the entire range of Reynolds numbers for the laminar, transition, and turbulent flow regimes inside smooth tubes ... 

Effectively what Barnett (B3) did was to confirm the validity of Eq. (18) using burn-out data for water in round tubes. Subsequently, Eq. (18) was applied to more extensive round-tube data (M3, Tl), to annuli (B6), rectangular channels (M3), and rod-bundle arrangements (M4), using simple mathematical expressions for A and C, and a consistently high accuracy was achieved. Details of the respective correlations obtained are given in Section VIII. 

Liu Z, Winterton RHS (1991) A general correlation for saturated and subcooled flow boiling in tubes and annuli, based on a nucleate pool boiling equation. Int J Heat Mass Transfer 34 2759-2766... 

To obtain a satisfactory evaluation of relative energies, especially for the computation of activation barriers, higher levels of theory than those needed to obtain the underlying geometries are usually required. MP2 is the most economical and popular method of incorporation electron correlation. For a more accurate theoretical estimate, higher-level of correlation treatment such as QCISD(T) or CCSD(T) theory is desirable. 

The results obtained for the correlation of a and 0 values of sets 2-1 through 2-4 are not significant. Thus, eqs. (21) and (22) are not obeyed in the case of dipole moment data. 

Liu, Z., and R. H. S. Winterton, 1991, A General Correlation for Saturated and Subcooled Flow Boiling in Tubes and Annuli Based on a Nucleate Pool Boiling Equation, Int. J. Heat Mass Transfer 34(11) 2759 2766. (4)... 

In addition to the CN-anomalies, similar (anti-)correlations for Na and O, and Mg and A1 have been known for some time to occur in globular cluster giants, though not in field stars (see [21] for a compilation). Initially thought to be... 

As should be evident, part of the problem in dealing with structures that contain atoms other than carbon is what values to use for a and /3. The values that have been suggested are based on correlating calculated properties with other known data. Because the Hiickel method is not a quantitative scheme for calculating properties of molecules, we will not address the issue of correcting the values of a and /3 further. 

In Fig. 21, the excess compressibility is shown as a function of the solid fraction for different coefficients of normal restitution e. These results are compared with the Eq. (54), where the excess compressibility yES is taken from either the Ma-Ahmadi correlation (Ma and Ahmadi, 1986) or the Carnahan-Starling correlation. As can be seen, the excess compressibility agrees well with both correlations for a solid fraction ss up to 0.55. For extremely dense systems, i.e., es>0.55, the Ma-Ahmadi correlation presents a much better estimate of the excess compressibility, which is also the case for purely elastic particles (see Fig. 23). 

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