Dispersion phenomena

Nonlinear case The calculation of the flowrates is much more complex, and it is beyond the scope of this chapter to present it in detail. However, as a useful tool, Mor-bidelli and coworkers [48-50, 63], applied the solutions to the equations of the equilibrium theory (when all the dispersion phenomena are neglected) to a four-zone TMB. 

The above conditions are not robust because they are at the limit of the complete separation zone. The equilibrium theory neglects the dispersion phenomena and therefore the purity obtained under these flowrate conditions would be less than 100 % on a TMB system. Complex simulation software, which takes into account the dispersion phenomena, gives a more robust system with higher purities [57]. 

Edwards, DA, Charge Transport Through a Spatially Periodic Porous Medium Electrokinetic and Convective Dispersion Phenomena, Philosophical Transactions of the Royal Society of London A 353, 205, 1995. 

Grace, H. P., Dispersion phenomena in high viscosity immiscible fluid systems and application of static mixers as dispersion devices in such systems. 3rd Eng. Found. Conf. Mixing, Andover, N. H. Republished in Chem. Eng. Commun. 14, 225-227 (1982). 

In the section General Principles, a comprehensive description is given of the basic principles of the capillary electrophoretic separation process. The concepts of electrophoretic mobility and electroosmotic mobility as well as band dispersion phenomena and resolution are described, using the equations listed in Table 3. A remarkable difference exists between the equations in both chapters in which the electroosmotic velocity and/or the electroosmotic mobility is used. In the Ph.Eur., the terms 4-feo and 4-/teo are used, whereas in the USP the terms feo and Pco are used in the corresponding equations, with the sentence added The sum or the difference between the two velocities (v p and v o) is used depending on whether the mobilities act in the same or opposite directions. ... 

H.P. Grace Dispersion Phenomena in High Viscosity Immiscible Fluid Systems and Application of Static Mixers as Dispersion Devices in Such Systems. Chem. Eng. Commun 14, 225 (1982). 

B16. Blackwell, R. J., Laboratory studies of microscopic dispersion phenomena. Paper presented at A.I.Ch.E.—Soc. Petrol. Eng. Symp., San Francisco, California, Deo. 6, 1959. 

Re-dispersion mechanisms are complex and a better understanding is becoming possible by the advances in dynamic ETEM for direct observations of re-dispersion phenomena in gaseous environments (described in section 5.11) and by HRTEM studies of metal particles on different supports. 

The re-dispersion phenomena of sintered Pt on CZY were observed by in situ time-resolved Turbo-XAS in fluorescence mode at ID-24 of ESRF (Nagai et al.,... 

Howard Brenner has generalized the method to a whole class of phenomena in his magisterial paper, A general theory of Taylor dispersion phenomena. Physicochem. Hydrodyn. 1, 91-123 (1980). 

There are plateau propellants that exhibit an intermediate range of pressure over which m is practically independent of p and mesa propellants for which m(p) achieves a maximum at a particular value of p then a minimum at a higher value. These effects may be produced in conventional double-base propellants by suitable addition of burning-rate catalysts (typically certain metal-organic salts) to the propellant formulation. It has been shown experimentally that these catalysts usually operate by modifying the interaction between the condensed-phase and dispersed-phase reaction zones [57], [58]. Thus dispersion phenomena are of importance to the deflagration of homogeneous propellants in a number of ways. 

IV. Longitudinal Dispersion Phenomena as Derived from Flow Properties... 

Longitudinal dispersion in the continuous phase (the liquid phase for a bubble column, and the emulsion phase for a fluidized catalyst bed) is closely related to flow properties of the equipment. Here, we wish to describe the longitudinal dispersion phenomena in terms of the fluid-dynamic properties of the equipment. The prime purpose is to test whether the fluid-dynamic analysis developed earlier is sound, but lon-... 

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