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Diffusive limit

Rice S A 1985 Diffusion-limited reactions Oomprehensive Ohemical Kinetics vol 25, ed C H Bamford, C F H Tipper and R G Compton (Amsterdam Elsevier)... [Pg.864]

Meakin P 1983 Formation of fractal clusters and networks by irreversible diffusion-limited aggregation Phys. Rev. Lett. 51 1119-22... [Pg.2692]

In a homogeneous system, tire rate of mixing is governed by Smoluchowski s equations [77], according to which tire diffusion-limited association rate of S and L (equation (C2.14.13)), supposed uncharged, equals tliat of tire flux and is... [Pg.2828]

A common feature of biopolymer adsorjition is that its rate is usually one to tliree orders of magnitude smaller than the diffusion-limited rate to a perfect sink ... [Pg.2842]

An appropriate value of 7 for a system modeled by the simple Langevin equation can also be determined so as to reproduce observed experimental translation diffusion constants, Dt in the diffusive limit, Dt is related to y hy Dt = kgTmy. See [22, 36], for example. [Pg.234]

There is no doubt that the coefficient of the third term on the right hand side of this equation is much larger than the coefficient of the second term at the bulk diffusion limit, and this justifies our original form (5,29). However, on constructing from and using equation (5,32) and its... [Pg.44]

It remains to check Chat our supposedly general equations (11.20) -(11.23) reduce to the previously obtained limiting forms at the extremes of bulk diffusion and Knudsen diffusion. The bulk diffusion limit is easily obtained by letting — and assuming that for all r, s,... [Pg.119]

Effective diffusion coefficient, in porous medium at bulk diffusion limit, 14... [Pg.195]

Examination of oven-aged samples has demonstrated that substantial degradation is limited to the outer surface (34), ie, the oxidation process is diffusion limited. Consistent with this conclusion is the observation that oxidation rates are dependent on sample thickness (32). Impact property measurements by high speed puncture tests have shown that the critical thickness of the degraded layer at which surface fracture changes from ductile to brittle is about 0.2 mm. Removal of the degraded layer restores ductiHty (34). Effects of embrittled surface thickness on impact have been studied using ABS coated with styrene—acrylonitrile copolymer (35). [Pg.203]

The rate-limiting step typically occurs at the air—Hquid interface and, for biological species without diffusion limitations, the overall relationship can be simply written at steady state as... [Pg.332]

Polymerization Processes. Free-radical polymerization is carried out in a variety of ways. One of the practical problems that must be dealt with is mnaway reactions which can result from auto acceleration, an increase in rate of polymerization caused by diffusion-limited termination (reduced... [Pg.436]

Catalyst Effectiveness. Even at steady-state, isothermal conditions, consideration must be given to the possible loss in catalyst activity resulting from gradients. The loss is usually calculated based on the effectiveness factor, which is the diffusion-limited reaction rate within catalyst pores divided by the reaction rate at catalyst surface conditions (50). The effectiveness factor E, in turn, is related to the Thiele modulus,

first-order rate constant, a the internal surface area, and the effective diffusivity. It is desirable for E to be as close as possible to its maximum value of unity. Various formulas have been developed for E, which are particularly usehil for analyzing reactors that are potentially subject to thermal instabilities, such as hot spots and temperature mnaways (1,48,51). [Pg.516]

The former usually involves process temperature or isolation. Sohds surface characteristics are important in that they control the extent to which an operation is diffusion-limited, i.e., diffusion into and out of the pores of a given sohds particle, not through the voids among separate particles. The size of the solids parti(des, the surface-to-mass ratio, is also important in the evaluation of surface characteristics and the diffusion problem. [Pg.1174]


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See also in sourсe #XX -- [ Pg.5 , Pg.3007 ]




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Activation energy diffusion-limited

Aggregation diffusion-limited

Aggregation diffusion-limited, computer

Algorithm diffusion limited aggregation

Bulk diffusion limitations

Burning of small particles - diffusion versus kinetic limits

Carbon monoxide diffusion-limited model

Carbonic diffusion-limitation

Catalysis, general base diffusion limit

Catalysts diffusion limitations

Coarsening diffusion-limited

Colloidal diffusion-limited aggregation

Combination of External and Internal Diffusion Limitations

Consecutive reactions diffusion limited

Crystal growth diffusion-limited aggregation

Current diffusion-limited steady-state

Current-limiting diffusion polarization

Diffuse-reflectance spectroscopy limitations

Diffusion Monte Carlo limits

Diffusion Upper limit

Diffusion coefficient limited current

Diffusion control limit

Diffusion controlled limit

Diffusion controlled limit, reaction

Diffusion controlled limiting current

Diffusion conversion limit

Diffusion current density, limiting

Diffusion current, limiting, concept

Diffusion flame, extinction limits

Diffusion impedance Capacitance, limiting

Diffusion impedance Limitations

Diffusion impedance Resistance, limiting

Diffusion layer limitation

Diffusion limit

Diffusion limit

Diffusion limit model

Diffusion limit rates

Diffusion limitation

Diffusion limitation

Diffusion limitation effects

Diffusion limitation region

Diffusion limitation theory

Diffusion limitations, internal, Fischer-Tropsch

Diffusion limitations, internal, Fischer-Tropsch catalyst

Diffusion limitations, internal, Fischer-Tropsch modeling

Diffusion limited adsorption

Diffusion limited aggregation (DLA

Diffusion limited aggregation particle-cluster

Diffusion limited current

Diffusion limited current density

Diffusion limited current density Diffusivity

Diffusion limited current density effective

Diffusion limited energy migration

Diffusion limited molecular collisions

Diffusion limited transport

Diffusion limited water exchange

Diffusion limiting

Diffusion limiting

Diffusion limiting equivalent capacitance

Diffusion limiting equivalent resistance

Diffusion mass transfer-limited reactions

Diffusion pumps limitations

Diffusion, facilitated, limits

Diffusion-Limited Aggregation and Growth

Diffusion-Limited Capture

Diffusion-controlled limit on reaction rate

Diffusion-convection layer electrode rotation rate limits

Diffusion-limited

Diffusion-limited agglomeration

Diffusion-limited aggregates

Diffusion-limited aggregation computer simulation

Diffusion-limited amperometric devices

Diffusion-limited cluster aggregation

Diffusion-limited cluster aggregation DLCA)

Diffusion-limited cluster aggregation example

Diffusion-limited cluster aggregation restructuring

Diffusion-limited clustering

Diffusion-limited coefficient

Diffusion-limited complex formation

Diffusion-limited conditions

Diffusion-limited corrosion rate

Diffusion-limited current plateau

Diffusion-limited current, planar and spherical electrodes

Diffusion-limited exchange kinetics

Diffusion-limited extractions

Diffusion-limited field

Diffusion-limited growth

Diffusion-limited oxidation regime

Diffusion-limited oxygen sensor

Diffusion-limited oxygen sensor structures

Diffusion-limited rate constant Debye theory

Diffusion-limited reactions

Diffusion-limited reactions, Smoluchowski equation

Diffusion-limited regime

Diffusion-limited regime effectiveness factor

Diffusion-limited surface reaction

Diffusion-limited uptake

Diffusion-limited uptake metal

Diffusion-limited, bimolecular elementary

Diffusion-limited-aggregation model

Diffusivities rate-limiting step

Dropping mercury electrode diffusion limited current

Effect of external diffusion limitation

Effect of internal diffusion limitation

Effective diffusivity limiting cases

Electrochemical cell diffusion limitations

Electrochemical cell diffusion limited

Electrochemical techniques diffusion-limited

Electron transfer diffusion control limit

Electron transfer, activation control diffusion limit

Energy transfer rapid diffusion limit

Enhancement factor diffusion-limited regime

Enzyme kinetics diffusion-limited

Excitation transfer diffusion limitations

External diffusion limitations

External mass transfer and intraparticle diffusion limitations

Facilitated diffusion fast reaction limit

Fast Diffusion Limit

Ferrocenes diffusion limited

Fractal diffusion limited growth

Gas-phase diffusion limitation

Growth Limited by Heat Conduction and Mass Diffusion Simultaneously

Heterogeneous polymer degradation oxygen diffusion limited

Internal diffusion limitations

Interrelationships of limiting diffusive transport quantities

Intraparticle diffusion limitations

Intraparticle diffusion limitation—pores

Kinetic expressions derived for diffusion limited reactions

Kinetics external diffusion limitations

Limiting Diffusion Resistance of the Disperse Phase

Limiting diffusion coefficient

Limiting diffusion current

Limiting diffusion current, voltammetry

Limiting diffusion resistance

Limiting diffusivity

Limiting diffusivity

Limiting permeability diffusion limitation

Limiting-current measurement diffusion coefficients

Mass transfer coefficient diffusion-limited regime

Mass transfer diffusion-limited

Mean limiting diffusion current

Methanol synthesis, diffusion limitations

Microelectrodes diffusion-limited current

Monolayers diffusion limitation

Neutral molecules, diffusion-limited

Neutral molecules, diffusion-limited transport

Oxygen diffusion limited degradation

Oxygen diffusion limited degradation examples

Oxygen reduction reaction limiting diffusion current densities

Particle limiting diffusion coefficient

Permeability coefficient solubility-diffusion limit

Pore diffusion, limiting process

Process diffusion-limited

Pure diffusion limit

RET in the Rapid-Diffusion Limit

Rate constant diffusion-limited

Rate-limiting diffusion

Rate-limiting diffusion carrier requirements

Rate-limiting diffusion control

Rate-limiting diffusion implications

Rate-limiting diffusion metal

Rate-limiting diffusion phytoplankton

Rate-limiting steps film diffusion

Rate-limiting steps particle diffusion

Reaction rates, diffusion controlled limit

Reactions rate-limited by a diffusion process

Reactive spreading diffusion limited

Reduction process diffusion limited

Relaxation, diffusion-limited, rate defined

Rigid particles, limiting diffusion

Severe diffusion limitations

Solubility-diffusion mechanism limitations

Spatial diffusion limit

Spin echo diffusion limits

Spin-diffusion limit

Support diffusion limitations

Surfactants diffusion-limited adsorption

The Effect of Diffusion Limitation

Transport Limitations and the Thiele Diffusion Modulus

Transport limitation by reaction-diffusion interaction

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