Attrition constant

For several batches of the same catalyst with quite different mass median diameters, Gwyn found the exponent b to be constant, whereas the attrition constant Ka was found to decrease with mean particle size. Equation (1) is, therefore, valid for a particular size distribution only. Other... 

Values of the Stable Fixed Point g and the Associated Attrition Constant k and Effective Coordination Number z, Calculated for Several Choices of the Kuhn Length K... 

Macrosegment Size, K Fixed Point 3 Attrition Constant k Coordination Number z... 

Table 2.1 Connective constant /x and attrition constants A and X for simple (hyper- )cubic lattices in dimensions 2

Table 2.2 Attrition constants and for simple and non-reversal r-stride sampling. For each d, we have taken the largest r such that rc, <10. ...

Screw Feeders. Screws are primarily used when feed over a slotted outlet is requited. Screws are a good choice when an enclosed feeder is requited, when space is restricted, when handling dusty or toxic materials, or when attrition (particle breakage) is not a problem. A screw is composed of a series of flights that are wound around a common shaft. The flights have a particular diameter and pitch (the distance between flights). Some screws have constant pitch flights others vary. The screw shaft has to be sized to prevent deflection (12). 

Much effort has been made by catalyst manufacturers to improve catalyst atttition resistance and thus reduce the formation of fines (see Catalysts, supported). In the 10-year petiod from 1980 to 1990, most catalyst manufacturers improved the atttition resistance of their catalyst by a factor of at least 3—4. This improvement was achieved even though the catalyst zeoHte content duting this petiod was continually increasing, a factor that makes achieving catalyst hardness more difficult. As an example of the type of atttition improvement that has been achieved, the catalyst atttition index, which is directiy related to catalyst loss rate in a laboratory attrition test, decreased from 1.0 to 0.35 for one constant catalyst grade during 1989—1990 (37). 

A salient feature of the fluidized bed reactor is that it operates at nearly constant temperature and is, therefore, easy to control. Also, there is no opportunity for hot spots (a condition where a small increase in the wall temperature causes the temperature in a certain region of the reactor to increase rapidly, resulting in uncontrollable reactions) to develop as in the case of the fixed bed reactor. However, the fluidized bed is not as flexible as the fixed bed in adding or removing heat. The loss of catalyst due to carryover with the gas stream from the reactor and regenerator may cause problems. In this case, particle attrition reduces their size to such an extent where they are no longer fluidized, but instead flow with the gas stream. If this occurs, cyclone separators placed in the effluent lines from the reactor and the regenerator can recover the fine particles. These cyclones remove the majority of the entrained equilibrium size catalyst particles and smaller fines. The catalyst fines are attrition products caused by... 

Figure 5.17 Effect of scale-up factor (

Characteristics of attrition and adsorption were investigated to remove CO2 in fluidized hed using activated carhon, activated alumina, molecular sieve 5 A and molecular sieve 13X. For every dry sorbent, attrition mainly still occurs in the early stage of fluidization and attrition indexs(AI) of molecular sieve 5A and molecular sieve 13X were higher than those of activated carbon and activated alumina. Percentage loss of adsorption capacity of molecular sieve 5A and molecular 13X were 14.5% and 13.5%, but that of activated carbon and activated alumina were 8.3% and 8.1%, respectively. Overall attrition rate constant (Ka) of activated alumina and activated carbon were lower than other sorbents. 

Table 2 summaries overall attrition rate constants (Ka) and physical properties for each dry sorbent. As shown in Table 2, Ka of activated alumina was the lower than any other sorbent, but was similar to activated carbon. However, we used activated carbon as dry sorbent to control CO2 because it is the most cost-effective among others.

Table 2. Summary of attrition rate constants for dry sorbents at gas velocity of 20.59 cm/s...

The following table gives the attrition-rate constant (Ka) for FCC catalyst as a function of particle size range (0-d) for upwardly-directed jets. 

The attrition-rate constant for 0-50 micron FCC catalyst (from Table) is... 

Arena et al. (1983) investigated the coal attrition in a mixture with sand under hot but inert conditions. As they increased the sand particle size while keeping its mass in the bed constant, they observed an increase in the coal attrition rate. They interpreted their results by assuming that the abrasion energy is shared out on the entire material surface. On the same basis Ray et al. (1987a) developed their attrition rate distribution model for abrasion in a fluidized bed. 

Grid Jets as a Source of Attrition. Jet attrition affects only a limited bed volume above the distributor, which is defined by the jet length. As soon as the jet is fully submerged its contribution to the particle attrition remains constant with further increasing bed height. Figure 6 shows some respective experimental results by Werther and Xi (1993). The jet penetration length can be estimated by various correlations, e.g., Zenz (1968), Merry (1975), Yates et al. (1986) or Blake et al. (1990). 

Often the character of materials in a mixture undergoes solid-state rearrangements due to the pressures associated with compaction, which may or may not be polymorphic in nature. Consider the pre-compression powder blend, whose DSC thermogram is shown in Fig. 4.16, and which features the presence of four endothermic transitions. In the postcompression, ground tablet sample whose DSC thermogram is shown in Fig. 4.17, the endotherms having maxima at 86.5 and 106°C remain relatively constant (maxima at 85.3 and 104.2°C). On the other hand, the third endotherm in the pre-compression thermogram shows considerable attrition in the post-compression sample, and an additional endotherm (not previously observed in the pre-compression sample)... 

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