Mixing phases

Eijuillbrium. Among the aspects of adsorption, equiUbtium is the most studied and pubUshed. Many different adsorption equiUbtium equations are used for the gas phase the more important have been presented (see section on Isotherm Models). Equally important is the adsorbed phase mixing rule that is used with these other models to predict multicomponent behavior. 

The foregoing discussion has dealt with nonideahties in the Hquid phase under conditions where the vapor phase mixes ideally and where pressure-temperature effects do not result in deviations from the ideal gas law. Such conditions are by far the most common in commercial distillation practice. However, it is appropriate here to set forth the completely rigorous thermodynamic expression for the Rvalue ... 

Flammable liquids are considered particularly static-prone if their elec trical conductivity is within the range of 0.1 to 10 pS/m. If no particulates or immiscible liquid are present, these prodlic ts are considered safe when their conductivity has been raised to 50 pS/m or higher. Blending operations or other two-phase mixing may cause such a high rate of charging that a conductivity of at least 1000 pS/m is needed for safe charge dissipation (British Standard 5958, part 1, Control of Undesirable Static Electricity, para. 8, 1991). 

Curl, R.L., 1963. Dispersed phase mixing-theory and effects in simple reactors. American Institution of Chemical Engineers Journal, 9, 175. 

The reaction takes place at low temperature (40-60 °C), without any solvent, in two (or more, up to four) well-mixed reactors in series. The pressure is sufficient to maintain the reactants in the liquid phase (no gas phase). Mixing and heat removal are ensured by an external circulation loop. The two components of the catalytic system are injected separately into this reaction loop with precise flow control. The residence time could be between 5 and 10 hours. At the output of the reaction section, the effluent containing the catalyst is chemically neutralized and the catalyst residue is separated from the products by aqueous washing. The catalyst components are not recycled. Unconverted olefin and inert hydrocarbons are separated from the octenes by distillation columns. The catalytic system is sensitive to impurities that can coordinate strongly to the nickel metal center or can react with the alkylaluminium derivative (polyunsaturated hydrocarbons and polar compounds such as water). 

Even with elastomers, it is often desirable to phase mix the material for certain combinations of physical properties. For example, elastomers with high hardness and flexural modulus are prepared from polyisocyanates, polyols, and polyamines of high functionality, creating a high crosslink density. Although polyol chains... 

Typical equipment for low viscosity liquids consists of a vertical cylindrical tank, with a height to diameter ratio of l.5 to 2, fitted with an agitator. For low viscosity liquids, high-speed propellers of diameter about one-third that of the vessel are suitable, running at 10-25 Hz. Although work on single-phase mixing of low viscosity liquids is of limited... 

New Technology for Carbon Black Dispersion in Rubber—Continuous Liquid Phase Mixing... 

Zahradnik, J. and M. Fialova, The effect of bubbling regime on gas and liquid phase mixing in bubble column reactors. Chemical Engineering Science, 1996. 51(10) p. 2491-2500. 

Continuous reactor both phases mixed ideally (CSTR with mechanical agitation)... 

The role of mixing in heterogeneous reactions is obvious. In multiphase processes mixing imposed by a stirrer or an external pump is necessary to increase the interface through which reactants pass to meet their partner in the other phase and/or to intensify mass transfer between phases. Mixing can also play a significant role in the case of homogeneous reactions. Chemical reactions occur at the molecular level. Reactant molecules introduced into a reactor encounter the environment in the vicinity of the inlet. The composition of the mixture there is obviously... 

In the case of two analytes able to participate in the mixed lateral interactions (i.e., able to form the hydrogen bonds of the AB. .. A,AB. .. B, or AB,... ABj type) and chromatographed in mild chromatographic systems (i.e., those composed of a low-active adsorbent and a low-polar mobile phase), mixed lateral interactions can even prevent a given pair of analytes from a successful separation (whereas under the slightly more drastic separation conditions, resolntion of a given pair of analytes can be perceptibly worsened, at the least). 

The gas phase mixing is represented by three equally-sized tanks in series. 

In the case of the full bubble column, the bottom gas phase mixed region is coincident with the impeller, and no significant gas mixing occurs below the impeller, in the lower region of the tank, as shown in Fig. 5.125. The dashed arrows in Fig. 5.125 and Fig. 5.126 represent mass transfer interchange between the gas space and liquid volumes of the tank. The liquid circulation, which is not shown, is identical to Fig. 5.124. 

Figure 5.125. Gas phase mixing pattern and mass transfer for full bubble column.

With full circulation, substantial gas phase mixing occurs in all tank regions, as shown in Fig. 5.126. 

Preliminary data does indicate that for a copolymer of similar composition the p(t-butylstyrene) polymer has smaller domains and, in general, a partially phase mixed surface and solid state structure. 

Phase mixing can be attributed partly to the irregularity of the copolymer chain. In the case of poly(ester ether) copolymers synthesized by normal step polymerization reactions, the hard segment has a... 

First, there is a term to account for turbulent gas-phase mixing between adjacent subchannels. This is accounted for by a term that has the form of a concentration difference between the subchannels multiplied by a mass transfer coefficient and the area available for transfer. This representation was used, as it is similar to the equation used for deposition. 

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