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Distribution particle

Evaluating its contribution to the free energy of the system requires taking the themiodynamic limit (N x) for the four-particle distribution fiinction. Lebowitz and Percus [75] and Hiroike [76] showed that the... [Pg.506]

Figure Bl.9.8. Schematic diagram of the relationship between a particle distribution and the measured experimental scattering data. This figure is duplicated from [14],with pennission from Academic Press. Figure Bl.9.8. Schematic diagram of the relationship between a particle distribution and the measured experimental scattering data. This figure is duplicated from [14],with pennission from Academic Press.
In the case of metal particles distributed on a support material (e.g. supported catalysts), XPS yields infomiation on the dispersion. A higher metal/support intensity ratio (at the same metal content) indicates a better dispersion [3]. [Pg.1856]

The distribution of momenta cannot be written as a product of single particle distributions and we find that... [Pg.199]

Particle board adhesives Particle bonding Particle breakage Particle distribution Particle filtration... [Pg.724]

Fig. 5. Particle distribution (upper line) before and (lower line) after action of the separator where the cross-hatched areas represent the particles separated out. By definition, all particles of d > are separated out. A number of particles having d < d are also separated, (a) Fiae and (b) coarse particle... Fig. 5. Particle distribution (upper line) before and (lower line) after action of the separator where the cross-hatched areas represent the particles separated out. By definition, all particles of d > are separated out. A number of particles having d < d are also separated, (a) Fiae and (b) coarse particle...
Fig. 7. Determination of for particle distribution within narrow hmits. See Fig. 6. Fig. 7. Determination of for particle distribution within narrow hmits. See Fig. 6.
Crushers and Roller Mills. In this equipment group, stress is applied by either cmshing single particles or a bed of particles between two sohd surfaces. In general, most machines are used for coarse and medium-size reduction, with the exception of the high pressure roUer mill which can achieve extremely fine particle distributions. [Pg.141]

Albertsson (Paiiition of Cell Paiiicle.s and Macromolecules, 3d ed., Wiley, New York, 1986) has extensively used particle distribution to fractionate mixtures of biological products. In order to demonstrate the versatility of particle distribution, he has cited the example shown in Table 22-14. The feed mixture consisted of polystyrene particles, red blood cells, starch, and cellulose. Liquid-liquid particle distribution has also been studied by using mineral-matter particles (average diameter = 5.5 Im) extracted from a coal liquid as the solid in a xylene-water system [Prudich and Heniy, Am. Inst. Chem. Eng. J., 24(5), 788 (1978)]. By using surface-active agents in order to enhance the water wettability of the solid particles, recoveries of better than 95 percent of the particles to the water phase were obsei ved. All particles remained in the xylene when no surfactant was added. [Pg.2015]

A study has also been performed for particle distribution for cases... [Pg.2016]

The existing models for emitting x-ray fluorescence intensity of elemental analytical lines from heterogeneous samples are limited in practical applications, because in most publications the relations between the fluorescence intensity of analytical lines elements and the properties of powder materials were not completely studied. For example, particles distribution of components within narrow layer of irradiator which emitted x-ray fluorescence intensity of elements might be in disagreement with particles distribution of components within whole sample. [Pg.462]

Existing statistical methods permit prediction of macroscopic results of the processes without complete description of the microscopic phenomena. They are helpful in establishing the hydrodynamic relations of liquid flow through porous bodies, the evaluation of filtration quality with pore clogging, description of particle distributions and in obtaining geometrical parameters of random layers of solid particles. [Pg.80]

Backmixing due to particle distribution in dense and dilute phases. [Pg.235]

With particles, the contaminant concentration in the duct is determined by isokinetic sampling with subsequent laboratory analysis use of a calibrated direct reading instrument. If the concentration distribution in the duct is uneven, a complete survey of the concentration distribution with the corresponding duct velocities and cross-sectional area is required. National and ISO standards provide information on isokinetic sampling and velocity measurements. In the case of particles, the airborne emission differs from the total emission, for example in the case of granular particulate. The contaminant settling on surfaces depends on particle distribution, airflow rates, direction in the space, electrical properties of the surfaces and the material, and the amount of moisture or grease in the environment. [Pg.1018]

Particle tracking can often be very helpful. Sometimes the particle distribution is directly asked for in other cases, it is an attractive way of illustrating the effectiveness of the ventilation system. [Pg.1054]

Figure 8.13 Conceptual concentration profiles and particle distribution in the liquid film region (Wachi and Jones, 199 la)... Figure 8.13 Conceptual concentration profiles and particle distribution in the liquid film region (Wachi and Jones, 199 la)...
Second-Order Integral Equations for Associating Fluids As mentioned above in Sec. II A, the second-order theory consists of simultaneous evaluation of the one-particle (density profile) and two-particle distribution functions. Consequently, the theory yields a much more detailed description of the interfacial phenomena. In the case of confined simple fluids, the PY2 and HNC2 approaches are able to describe surface phase transitions, such as wetting and layering transitions, in particular see, e.g.. Ref. 84. [Pg.186]

We have seen that has to behave like a free energy in the MFA, and then in addition to the interaction an entropy term has to be introduced into Since the ideal entropy is a functional of the particle distributions we will assume that there is the same kind of functional in terms of fields. Thus... [Pg.809]

Teilchen, n. small part, particle (Math.) element. — a- —, alpha particle, a-particle. -grdsse, /. particle size, -ladimg, /. particle charge, -verteilung, /. particle distribution or dispersion. [Pg.442]

The performance of this unit correlated for several different types of particle distribution by [14] ... [Pg.265]

More detailed analysis, using spectrographic or ferrographic techniques, that include metal scans, particle distribution (size), and other data can range to well over 150 per sample. [Pg.802]

On a hexagonal lattice, for example, the two-particle distribution function, is... [Pg.495]

The one-particle distribution function fp specifies both the total particle density p and momentum density pu, where u is the average fluid velocity. [Pg.496]

Chapman-Enskog Expansion As we have seen above, the momentum flux density tensor depends on the one-particle distribution function /g, which is itself a solution of the discrete Boltzman s equation (9.80). As in the continuous case, finding the full solution is in general an intractable problem. Nonetheless, we can still obtain a useful approximation through a perturbative Chapman-Enskog expansion. [Pg.497]

Assuming that our LG is in a local equilibrium, it is reasonable to expect that the one-particle distribution functions should depend only on the macroscopic parameters u x,t) and p x,t) and their derivatives [wolf86c]. While there is no reason to believe that this dependence should be a particularly simple one, it is reasonable to expect that both u and p are slowly varying functions of x and t. Moreover, in the subsonic limit, we can assume that li << 1. [Pg.497]

In the derivation of the Boltzmann equation it is assumed that the distribution function changes only in consequence of completed collisions, i.e., the effect of partial collisions is neglected. We shall, therefore, consider the single-particle distribution function averaged23 over a time r, which will (later) be taken large compared with a collision time ... [Pg.43]


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A -particle distribution function

Acrylonitrile-butadiene rubber particle size distribution

Activated carbon particle size distribution

Active pharmaceutical ingredient Particle size distribution

Activity size distribution of radioactive aerosol particles

Adsorbents particle size distribution

Aerosol particle size distribution

Aerosol particle size distribution measurements

Aggregation particle size distribution

Atmospheric particulates particle/vapor distribution

BED PARTICLE SIZE DISTRIBUTION AND CYCLONE DESIGN

Ball-mill particle size distribution from

Beads, particle size distribution

Bimetallic particle size distribution

Bimodal distribution of particles

Bimodal distribution particles

Bimodal rubber particle distribution

Bimodal size distribution of the microbubble-surfactant particle population

Bioavailability particle size distribution

Brownian Dynamics simulations understanding particle size distribution broadening

Butadiene-styrene latices particle size distributions

C particle size distribution

Calcite particle size distribution

Catalyst particle size distribution

Char particle size distribution

Cigarette smoke, particle size distribution

Cloud samples particle size distribution

Clustered particle distribution

Coal combustion particle mass distribution

Coal particle size distribution

Coal slurries particle distribution

Coarse sand, particle size distribution

Coarsening of particle distribution

Colloidal latices, particle size distribution analysis

Colloidal systems particle size distribution

Concentration and vertical distribution of Aitken particles

Control of particle size distribution

Crystalline particle size distribution, characteristic

Crystalline particle, diameter size distribution

Crystallization crystal particle-size distribution

Crystals particle-size distribution

Cumulative particle size distribution

Desulfurization particle size distribution

Determination of particle size distribution by number

Diffractometers for Characterizing Particle Size Distributions of Fineparticles

Dispersion particle size distributions

Distribution function single particle

Distribution function, 2 particle variant

Distribution of Particles and Process Uncertainty

Distribution of colloidal particles

Distribution of inertial particles in flows

Distribution of particles

Distribution of the particle sizes

Distribution particle dimension

Distribution variables, mixing particle concentration

Distributions emission from particles

Droplet/particle size distribution

Drug substances particle size distribution

Dust grains particle size distribution

Effect of Particle Size Distribution

Effect of Particle Size Distribution on Sintering Kinetics

Electrical mobility, particle size distribution

Electrocatalyst supports particle-size distribution

Elemental distribution particle association

Emulsifier concentrations, effect particle size distributions

Emulsion particle size distribution

Emulsion polymerization particle size distribution

Emulsion systems, particle size distributions, study

Energy distribution, of sputtered particles

Evolution of an Aerosol Size Distribution During Gas-to-Particle Conversion

Exercise 15.1 Distribution of particles in suspension and grain size sorting resulting from settling

Experimental procedure particle size distribution

Fillers particle size distribution

Filter selection, particle size distribution

Fine sand, particle size distribution

Fineness and particle size distribution

Fragmentation particle size distribution analysis

Frequency distribution of particle

GAS-PARTICLE DISTRIBUTION OF SEMIVOLATILE ORGANICS

Gas-particle distribution

Gaussian distribution, particle size

Graft copolymers particle size distribution

Granulation Particle size distribution

Grinding particle-size distribution

HPLC methods particle size distribution

Histograms of particle size distribution

Homogenous distribution of the particles

Hydrate particle size distribution

Hydrometer particle-size distribution

INDEX metal particle size distribution

Inductively coupled plasma mass particle distribution

Influence of particle size distribution on kinetic characteristics

Intensity-weighted particle size distribution

Interstellar dust particle size distribution

Kinetics particle size distribution effect

Latex particle size distributions

Leady oxide particle size distribution

Lecithins particle size distribution

Light scattering, particle size distribution

Limestone, particle size distribution

Mass distribution of particles

Mathematical dynamic model development particle distribution

Mathematical models particle size distribution

Measurement of Dispersion and Particle Size Distribution

Measurement of Particle Size Distributions

Measurement of the Particle Size Distribution

Measuring Particle Distributions

Melt atomization particle size distribution

Metal particle composites distributions

Method for experimental measurement of particles residence time distribution

Microscopy particle size distribution

Milled produces) particle-size distribution

Mixing particle size distribution

Model particle size distribution, protein

Molecular Weight and Particle Size Distributions

Multi-particle distribution function

Multimodal particle size distribution

Multimodal size distribution, atmospheric particles

N-particle distribution function

Narrow particle size distribution

Near-Maxwellian particle velocity distribution

Near-infrared spectroscopy particle size distribution

Nebulizers) particle size distribution

Nickel catalysts particle size distribution

Notional particles initial distribution

Notional particles spatial distribution

Orientational distribution functions particle size dependence

Oscillating particle distributions

Ostwald ripening particle size distribution

PMMA particle size distribution

Packing material particle size distribution

Particle Packing, Mass, and Size Distribution

Particle Size Distribution (PSD)

Particle Size Distribution and Application Properties of Pigmented Media

Particle Size Distribution and Surface Area

Particle Size Distribution and Surface Area Effects on the Burn Rate

Particle Size Distribution in Continuous Comminution Process

Particle Size Distribution of PAHs and Mutagenicity

Particle Size Distributions and Averaged Diameters

Particle Size and Distribution

Particle Velocity Distributions

Particle acceleration distribution

Particle based density/charge distribution

Particle bombardment energy distributions

Particle coalescence, growth distribution

Particle continued) distribution

Particle density distribution

Particle diameter distributions

Particle distribution curve

Particle distribution evolution

Particle distribution function

Particle distribution in matrix

Particle distribution, resolution

Particle formation spatial distribution

Particle mass distribution

Particle number distributions

Particle polymer volume distributions

Particle properties size distribution

Particle radius distribution

Particle radius distribution function

Particle shape distribution

Particle size Rosin-Rammler distribution

Particle size analysis distribution types

Particle size analysis distributions

Particle size and Its Distribution along with Shape

Particle size distribution

Particle size distribution Center

Particle size distribution Eulerian approach

Particle size distribution Lagrangian approach

Particle size distribution approximate approaches

Particle size distribution bimodal

Particle size distribution by sedimentation

Particle size distribution by sieving

Particle size distribution changes

Particle size distribution characterization

Particle size distribution control

Particle size distribution definition

Particle size distribution density

Particle size distribution diameter characteristics

Particle size distribution differential

Particle size distribution emulsification method

Particle size distribution emulsions, effect

Particle size distribution evaporation

Particle size distribution experimental investigations

Particle size distribution exponential

Particle size distribution field scan techniques

Particle size distribution frequency histogram

Particle size distribution functions

Particle size distribution functions analysis

Particle size distribution growth

Particle size distribution histogram

Particle size distribution in emulsion polymerization

Particle size distribution in suspension polymerization

Particle size distribution instrumental techniques

Particle size distribution interpretation

Particle size distribution magnetite particles

Particle size distribution mass fractions

Particle size distribution measurement

Particle size distribution median

Particle size distribution modeling

Particle size distribution multiple emulsions

Particle size distribution normal-logarithmic

Particle size distribution nucleation

Particle size distribution number

Particle size distribution of ground

Particle size distribution of ground clinker or cement

Particle size distribution parameters

Particle size distribution polydisperse colloidal system

Particle size distribution population

Particle size distribution population balance model

Particle size distribution prediction

Particle size distribution reactor

Particle size distribution regulatory

Particle size distribution sampler

Particle size distribution scale

Particle size distribution separation methods

Particle size distribution significance

Particle size distribution spacer particles

Particle size distribution specific surface

Particle size distribution standard expressions

Particle size distribution surface techniques

Particle size distribution suspension polymerization

Particle size distribution theoretical predictions

Particle size distribution types

Particle size distribution typical aerosols

Particle size distribution ultrasonic measurements

Particle size distribution variability

Particle size distribution various systems

Particle size distribution viscosity

Particle size distribution visual methods

Particle size distribution — sieving method

Particle size distribution, cowpea

Particle size distribution, lead azide

Particle size distribution, lead azide decomposition

Particle size distribution, of metal

Particle size distribution, of raw material

Particle size distribution, phase composition and cement properties

Particle size distribution, protein

Particle size distribution, simulation

Particle size distributions optimization

Particle size distributions, obtained from

Particle size distributions, reactants

Particle size length distributions

Particle size normal distribution

Particle size probability density distribution

Particle size testing distribution

Particle size, statistics Gaussian distribution

Particle size, statistics cumulative distribution

Particle size, statistics distribution, characterization

Particle sizing distribution

Particle surface area distribution

Particle volume concentration distribution

Particle-dimension distribution equation

Particle-size Distribution Functions of Supported Catalysts

Particle-size distribution calculation

Particle-size distribution conclusions

Particle-size distribution diameter

Particle-size distribution dimensionless

Particle-size distribution equilibrium

Particle-size distribution moments

Particle-size distribution polydisperse

Particle-size distribution standard deviation

Particle-size distribution volume average

Particles Shapes and Size Distributions

Particles concentration distribution

Particles, deposition size distributions

Paste particle size distribution

Permeability, particle size distribution

Pesticides, particle size distribution

Photon correlation spectroscopy, particle size distribution

Polybutadiene latex, particle size distribution

Polychlorinated biphenyls particle/vapor distribution

Polydispersed particles particle-size distributions

Polymer latices, particle size distribution analysis

Polymer particle size distribution

Polymer particle size distribution optimization

Polystyrene particle size distributions

Population of particles distribution

Portland cement particle size distribution

Potassium chloride particle size distribution

Powder particle size distribution

Precipitation particle size distribution

Precipitation particle size distribution effects

Primary properties particle size distribution

Probability density distribution particle size function

Process simulation particle size distribution

Product coal particle-size distribution

Product particle size distribution

Product particle size distribution attrition

Product particle size distribution population balance

Product particle size distribution prediction

Protein precipitation particle size distribution

Pt particle size distribution

Rates, particle size distributions

Reactors with a Distribution of Solid Particle Size

Residence Time of Particles and its Distribution

Rosin-Rammler-Sperling-Bennett Particle Size Distribution

Rubber particle distribution, modified

Rubbery particles, size distribution

Salt cloud particle size distributions

Salt particle size distribution

Schultz distribution, spherical particles

Screen printing particle size distribution

Sedimentation particle size distribution

Selenium particle size distribution

Sieves particle-size distribution

Similar particle size distribution

Sintering particle size distribution effect

Size Distributions of Atmospheric Aerosol Particles

Size distribution function particle diameter equation

Size distribution of particles

Size distribution of particles in the

Size-distributed particle population

Sludge particle size distribution

Small metal particles size distribution

Soil, particle size distribution

Spatial Distribution of Electrodeposited Metal Particles

Spectroscopy, particle size distribution

Sputtered particles, energy distribution

Statistical Moments of the Particle Radius Distribution

Stressed particle distribution

Subject particle distributions

Support particle size distribution

Supported metals, small particles distribution

Suspensions particle size distribution

Tabular presentation of particle size distribution

The Binomial Theorem-Particle Distributions

The size distribution of atmospheric aerosol particles

Three-particle distribution function

Turbidity particle size distribution

Two particle size distributions

Types of particle size distribution

Ultrafine aerosol particles size distribution

Unlimited Particle Distributions

Velocity — Particle Size Distribution Relationship

Vertical distribution of particles

Volume-based particle size distribution

Weight Distribution of the Particle Size

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