Etching of Mass, Surface, and Porous Fractal Solids

C. Gavrilov, M. Sheintuch*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


To study fractal aspects of reactive etching, we consider three types of solids with surface, mass, and pore fractality. An analytical solution for etching of the solid boundary in the form of a Koch curve demonstrates that in the absence of diffusion resistance bifractal structures are formed due to screening effects. Over a certain domain the surface area scales like t1-Df. Stochastic simulation of etching of solid clusters, obtained by diffusion-limited aggregation (DLA), shows that the dynamics strongly depend on the value of fractal dimension. Analytical approximation for the dynamics of etching based on the DLAs density distribution was obtained, showing that the mass scales like (1 - Kt)Df, where K is a certain constant, and was in excellent agreement with the simulation. The simulation of etching of a Sierpinski-gasket fractal and the corresponding uniform-pore object of the same size, porosity, and reactive area demonstrates the combined influence of diffusion resistance optimization and fractal geometry on the character of etching. The etching of fractal structures is significantly faster in the regions of strong and moderate diffusion resistance. In the region of strong diffusion resistance the rates of etching declined monotonically with time. The reaction occurred in a narrow penetration layer, and fractality did not break. No simple scaling is evident in this case.

Original languageEnglish
Pages (from-to)2915-2923
Number of pages9
JournalIndustrial and Engineering Chemistry Research
Issue number8
StatePublished - Aug 1997
Externally publishedYes


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