Density and diffusion limited aggregation in membranes

1995 ◽  
Vol 57 (5) ◽  
pp. 651-677 ◽  
Author(s):  
Jes Stollberg
1995 ◽  
pp. 71-76
Author(s):  
M. Suzuki ◽  
X. Hu ◽  
N. Hatano ◽  
M. Katori ◽  
K. Minami ◽  
...  

2013 ◽  
Vol 703 ◽  
pp. 71-74
Author(s):  
Shou Gang Sui ◽  
Shu Lan Gong ◽  
Tao Wang

The diffused fractal growth has a wide range of applications in material fields, especially the diffusion limited aggregation. As a result, the research of fractal growth has important significance in material science. In this paper, iterative steps are introduced in Laplace's equation based on the meaning of random walk, and computer simulation is used to analysis the influence of steps' change on fractal growth.


2019 ◽  
Vol 17 (2) ◽  
pp. 457-466
Author(s):  
Bahram Soltani Soulgani ◽  
Fatemeh Reisi ◽  
Fatemeh Norouzi

Abstract Determining the rate of asphaltene particle growth is one of the main problems in modeling of asphaltene precipitation and deposition. In this paper, the kinetics of asphaltene aggregation under different precipitant concentrations have been studied. The image processing method was performed on the digital photographs that were taken by a microscope as a function of time to determine the asphaltene aggregation growth mechanisms. The results of image processing by MATLAB software revealed that the growth of asphaltene aggregates is strongly a function of time. Different regions could be recognized during asphaltene particle growth including reaction- and diffusion-limited aggregation followed by reaching the maximum asphaltene aggregate size and start of asphaltene settling and the final equilibrium. Modeling has been carried out to predict the growth of asphaltene particle size based on the fractal theory. General equations have been developed for kinetics of asphaltene aggregation for reaction-limited aggregation and diffusion-limited aggregation. The maximum size of asphaltene aggregates and settling time were modeled by using force balance, acting on asphaltene particles. Results of modeling show a good agreement between laboratory measurements and model calculations.


1986 ◽  
Vol 34 (5) ◽  
pp. 4079-4082 ◽  
Author(s):  
Derek Y. C. Chan ◽  
Barry D. Hughes ◽  
Lincoln Paterson

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