Shapes ratio classification

As there are few data on the ratio of thoron concentration to radon, we have assumed that the value is constant and is equal to 0.14, Error(4) and Error(5) are assumed to be negligible for the error calculation. The error due to ambiguities in classification and discrimination of tracks according to the shape or the size was assessed by experiment and the relative error (1 S.D.) was less than 10%. The relative error due to the variations of F, f, and (V a) is less than 13% as described in the previous section. The combined error due to these factors is estimated to be 16%. The total error can be obtained by combining this error and Error(l). If we use the definition that the lowest detectable limit is the radon concentration at 50 % relative S.D., the lowest detectable... 

Two ores, of densities 3700 and 9800 kg/m3 are to be separated in water by a hydraulic classification method. If the particles are all of approximately the same shape and each is sufficiently large for the drag force to be proportional to the square of its velocity in the fluid, calculate the maximum ratio of sizes which can be completely separated if the particles attain their terminal falling velocities. Explain why a wider range of sizes can be... 

Such sieves were used solely for powder classification, and the inception of test sieving did not arise until sieve aperture sizes were standardized. Standard apertures were first proposed by Rittinger [2] who, in 1867, suggested a V2 progression of aperture sizes based on 75 pm thus, similarly shaped particles passing consecutive apertures, are in a 2 1 surface ratio. Modem standards are based on a fourth root of two progression, apart from the French AFNOR series, adopted in 1938, which is based on a sieve aperture of 1 mm in a tenth root of ten progression this is known as the RIO or Renaud series. 

One of the many unique features of crystals is crystal habits. Crystals can have different shapes and faces that make them unique and distinct from hquid or gaseous materials. In view of the focus of this book, crystal morphology means the approximate shape of crystals. Our purpose is to describe quahtatively the aspect ratios of crystals in three-dimensional space with relevance to the crystallization process. Therefore, we refer the reader to (Mullin 2001, Chapter 1) for a more thorough and comprehensive classifications of crystal morphology. 

The separator in stage 1 is not efficient enough for classification, i.e. it misplaces too much of the fine particles into the coarse product and of the coarse particles into the fine product. This performance in classification is characterized by the so-called sharpness of cut derived from the shape of the grade efficiency curve. In this section we measure the sharpness of cut by the sharpness of index 1/75/25 defined as the ratio of the particle sizes at 75% and 25% on the grade efficiency curve. 

The model s prediction of the classification portion of the cyclone s grade-efficiency curve (i.e., that excluding the solids loading effect) is shown in Fig. 6.A.8. Here, efficiencies are plotted as a function of the dimensionless particle ratio x/x o, where x is the particle diameter and X50 the cyclone s computed cut size. The model is seen to predict measurements reasonably well although the slope of the predicted s-shaped grade-efficiency curve (m = 5) is greater than that of the experimental data. 

Conner and coworkers (refs. 7,8) have recently utilized a pore/throat network model to obtain information about the morphology of materials from mercury penetration data. The void/solid structure is viewed as an interconnected network so that adsorption/desorption and retraction/intrusion can be associated with the openings and constrictions within the void network. These latter investigators analyzed the data as if the materials consisted of agglomerated microspheres. The measured ratio of the most probable radii of intrusion to those of retraction seemed to be characteristic of the void structure and pore shape. Conner et al. (ref. 8) developed a heuristic diagram for the classification of void/solid morphologies from a... 

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