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Topics On Diffusion In Emulsions - M. Nichelatti

Topics On Diffusion In Emulsions

Hardcover Published: 28th July 1994
ISBN: 9789810217891
Number Of Pages: 144

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This volume describes some mathematical and physical aspects of emulsion behaviour, starting from fundamental theories such as diffusion, Brownian movement and sedimentation of particles in a fluid. This is followed by a brief exposition of the basic concepts in discrete state space processes and a consideration of some aspects of colloid aggregation phenomena (in particular, the basis of stochastic processes theory, and a display of a new concept in particle coagulation). Applications of the methods outlined are then presented along with a discussion of the general and electrical properties of emulsions. The major emphasis in this work is on the philosophy of stochastic processes theory as a useful tool to theoretically study colloid and emulsion properties.

Diffusionp. 1
Particles in a boxp. 1
Solution of the diffusion equationp. 6
Mean free pathp. 7
Diffusion and Fokker-Planck equationsp. 8
Moments of the processp. 12
Remarks about rotational diffusionp. 12
Diffusion equation from a mathematical point of viewp. 15
Examples of diffusion-like equationsp. 18
Diffusion as a stochastic processp. 19
Brownian motionp. 21
General introductionp. 21
Langevin equationp. 22
Diffusion coefficient in velocity spacep. 26
Fokker-Planck equation in velocity space and phase spacep. 28
Diffusion equation and diffusion coefficientp. 30
Uncertainty in Brownian motion and physical meaning of [beta]p. 31
Sedimentationp. 35
Basic conceptsp. 35
Gauss's lawp. 38
Mass balance equation for sedimentationp. 40
Phenomenological analysisp. 42
Hydrodynamic analysisp. 44
Discrete state space processesp. 47
Master equationsp. 47
Generating functionp. 52
Some properties of generating functionp. 53
Example of birth and death processp. 56
Further examplesp. 59
Some properties of colloidsp. 61
Sedimentationp. 61
Colloid aggregationp. 64
Brownian motion in a field of forcep. 67
Coagulation as a simple stochastic processp. 71
Emulsions: general propertiesp. 80
Overview of emulsion characteristicsp. 80
Particle size distributionp. 86
Notes about DLVO theoryp. 88
More about coagulation kineticsp. 90
Stability ratiop. 93
Emulsions: electrokinetic propertiesp. 95
Electrical double layerp. 95
Stern modelp. 102
The [zeta] potentialp. 103
Critical coagulation concentrationp. 111
Appendix 1. Proof of equation (1.10)p. 114
Appendix 2. Markov processes and master equationp. 116
Appendix 3. The Fokker-Planck equationp. 119
Appendix 4. The Laplacian operator in spherical polar coordinatesp. 122
Appendix 5. Solving a differential equation using the method of characteristicsp. 125
Referencesp. 129
Indexp. 133
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810217891
ISBN-10: 9810217897
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 144
Published: 28th July 1994
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 22.86 x 16.51  x 1.27
Weight (kg): 0.32

Earn 270 Qantas Points
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