Popes

Maas U and Pope S B 1992 Simplifying chemical kinetics intrinsic low-dimensional manifolds in composition space Comb. Flame 88 239... 

Tieleman, D.P., Berendsen, H.J.C. A molecular dynamics study of the pores formed by E. coli OmpF porin in a fully hydrated POPE bilayer. Biophys. J., in print (1998). 

R. J. Pope and R. A. Weber, Water Environment Federation Proceedings of the 66th Annual Conference and Exposition, 1993, pp. 447—456. 

M. T. Pope and A. MbUer, eds., Toljoxometallates From Platonic Solids to A.nti-RetroviralA.ctivity Kluwer Academic Pubhshers, Dordrecht, the Nethedands, 1994. 

All the foregoing pertains to sohds of approximately the same physical characteristics. There is evidence that sohds of widely different characleristics wih classify one from the other at certain gas flow rates [Geldart, Baeyens, Pope, and van de Wijer, Powder Technol., 30(2), 195 (1981)]. Two fluidized beds, one on top of the other, may be formed, or a lower static bed with a fluidized bed above may result. The latter frequently occurs when agglomeration takes place because of either fusion in the bed or poor dispersion of sticl feed solids. 

L.E. Pope and J.N. Johnson, Shock-Wave Compression of Single-Crystal Beryllium, J. Appl. Phys. 46, 720-729 (1975). 

Submitted by Bahry M. Pope, Yotaka Yamamoto, and D. Stanley Tarbell ... 

Japaconitine, Cj H jOnN. The possible identity of japaconitine with aconitine has been referred to already. The following description is based on Dunstan and Read s account and their view that the two alkaloids are distinct is supported by the difference in crystalline form recorded by Pope and by Schwankte. ... 

Further details ean be found in texts eoneerning fluid mixing and partiele suspension (Sterbacek and Tausk, 1965 Holland and Chapman, 1966 Oldshue, 1983 Uhl and Gray, 1986 Allen, 1990 Coulson and Riehardson, 1991 Harnby etal., 1992 and Gibilaro, 2001), the theory partieulate of proeesses (Randolph and Larson, 1988 Ramkrishna, 2000) and turbulent flows (Pope, 2000). 

General solution of the population balance is complex and normally requires numerical methods. Using the moment transformation of the population balance, however, it is possible to reduce the dimensionality of the population balance to that of the transport equations. It should also be noted, however, that although the mathematical effort to solve the population balance may therefore decrease considerably by use of a moment transformation, it always leads to a loss of information about the distribution of the variables with the particle size or any other internal co-ordinate. Full crystal size distribution (CSD) information can be recovered by numerical inversion of the leading moments (Pope, 1979 Randolph and Larson, 1988), but often just mean values suffice. 

The population balance in equation 2.86 employs the local instantaneous values of the velocity and concentration. In turbulent flow, there are fluctuations of the particle velocity as well as fluctuations of species and concentrations (Pope, 1979, 1985, 2000). Baldyga and Orciuch (1997, 2001) provide the appropriate generalization of the moment transformation equation 2.93 for the case of homogeneous and non-homogeneous turbulent particle flow by Reynolds averaging... 

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