Mensuration of microstructure multi-fractal spectra of calcined limestone particle surfaces--颗粒学报PARTICUOLOGY

Shang, J., Wang, S., Wang, C., & Song, C. (2010). Mensuration of microstructure multi-fractal spectra of calcined limestone particle surfaces. Particuology, 8(5), 486-489. https://doi.org/10.1016/j.partic.2010.07.004

Mensuration of microstructure multi-fractal spectra of calcined limestone particle surfaces

Jianyu Shang^*, Songling Wang, Chunbo Wang, Chunchang Song

Department of Power Engineering, North China Electric Power University, Yonghua North Street, Baoding 071003, Hebei, China

10.1016/j.partic.2010.07.004

Volume 8, Issue 5, October 2010, Pages 486-489

Received 15 April 2009, Revised 16 June 2009, Accepted 14 July 2010, Available online 4 August 2010.

E-mail: sjy@ncepubd.edu.cn

Highlights

Abstract

The microstructure of the surface of a calcined limestone particle is multi-fractal. We develop an analytic method that surveys the boundary curve multi-fractal dimensions with SEM, gets a three-dimensional surface structure α − f(α) curve via zero-sets, and finally calculates the multi-fractal spectrum values of the particle surface's microstructural topography. After analyzing two spectra from limestone particles calcined at 850 °C and 900 °C, it was shown that the microstructural topographies of the surfaces of calcined limestone multi-particle system have some degree of self-similarity. This mensuration method is proposed to describe the multi-fractal characteristics of a micro-scale particle's surface topography.

Graphical abstract

Keywords

Limestone; Calcined particle; Microstructure topography; Multi-fractal; Measure; Zero-sets

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