Breakage in Practice

The summation term is the mass broken into size interval / from all size intervals between j and /, and S is the mass broken from size internal i. Thus for a given feed material the product size distribution after a given time in a mill may be deterrnined. In practice however, both S and b are dependent on particle size, material, and the machine utilized. It is also expected that specific rate of breakage should decrease with decreasing particle size, and this is found to be tme. Such an approach has been shown to give reasonably accurate predictions when all conditions are known however, in practical appHcations severe limitations are met owing to inadequate data and scale-up uncertainties. Hence it is stiH the usual practice to carry out tests on equipment to be sure of predictions. 

The manner in which a particle fractures depends on (i) the nature of the particle and (ii) the manner in which the fracture force is applied. A number of terms have been used to describe the different mechanisms of single particle fracture. The different terms considered here are abrasion, cleavage, shatter, and chipping. It may be pointed out that in practice these events do not occur in isolation. Real breakage involves a combination of these processes, with the proportions changing, depending on the equipment, and on the manner each particle is stressed within it. 

Biscuits need to be protected against breakage and the uptake of water. The very crispness of biscuits makes them susceptible to breakage in transit. The traditional packing for biscuits other than those sold loose is a tin. At one time the tins were returned, cleaned, and refilled. This practice seems to have been discontinued. 

In practice, this model is oversimplified since the exciting wake shedding is by no means harmonic and is itself coupled with the shape oscillations and since Eq. (7-30) is strictly valid only for small oscillations and stationary fluid particles. However, this simple model provides a conceptual basis to explain certain features of the oscillatory motion. For example, the period of oscillation, after an initial transient (El), becomes quite regular while the amplitude is highly irregular (E3, S4, S5). Beats have also been observed in drop oscillations (D4). If /w and are of equal magnitude, one would expect resonance to occur, and this is one proposed mechanism for breakage of drops and bubbles (Chapter 12). 

As the oxidative carbon-carbon bond breakage of alcohols, leading to a stable carbocation, depends not only on the stability of the resulting carbocation but also on very exacting stereoelectronic factors, many cases are known in which alcohols are successfully oxidized to ketones, regardless of apparently easy oxidative carbon-carbon bond breakages. In fact, in synthetic experimental practice, it is recommended not to fail in trying a Jones oxidation because of fear of such side reactions. 

The practical problems associated with Norplant have related to its physical form rather than its pharmacological profile. Practitioners specially trained in the insertion and removal of the device usually handle it without major problems, but without this special instruction it can be difficult to ensure that the rods are properly placed and that they are removed without scarring or other complications. Even given appropriate handling, the rods can cause problems as a result of migration or breakage in situ. 

In practice it may not be possible to differentiate between these two situations since calculation shows that to obtain any appreciable rate of thermo-fluctuation breakage of co-valent bonds requires S0.8 G oi greater even in Regime 1... 

---