Fractal Dimension Analysis of Handsheets Surface Depending on Mixing Ratio of Sw-BKP and Hw-BKP and Pressing Number

Yoon-Taek Oh; Hee-Won Kim; Jong-Su Park; Hyung-Jin Kim; Jong-Moon Park

doi:10.7584/JKTAPPI.2019.12.51.6.36

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Fractal Dimension Analysis of Handsheets Surface Depending on Mixing Ratio of Sw-BKP and Hw-BKP and Pressing Number Sw-BKP, Hw-BKP의 배합비와 프레싱 횟수에 따른 수초지 표면의 프랙탈 차원 분석

30 December 2019. pp. 36-44

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Abstract

Currently, widely used methods of measuring surface properties of paper are air leakage-type methods such as the Bekk smoothness method and Bendtsen roughness method. Measurements of the surface of paper in this air-leakage method may have advantages for the purpose of comparing differences between paper samples, but they have limitation of understanding of the variation in roughness within one sample. To measure the characteristics of paper surface directly, the profile can be analyzed by measuring the hill and valley of the surface by using stylus tip. Based on the measured data, it is analyzed by fractal geometry theory. It is known that the paper surface is not a single dimensional line and is not two dimensional plane, the result value between 1 and 2 can be expected when the surface of the paper in thickness direction is analyzed using a fractal dimension (FD). Comparing fractal dimension, Bendtsen roughness, and Bekk smoothness with R² value, most of the pressing handsheets had meaningful levels of correlation. However, correlation of the results of the 3 times pressing was lower than the results of the 1 time pressing and 2 times pressing.

Keywords

Fractal dimension

Bendtsen

Bekk

roughness

pressing

surface property

smoothness

References

Literature Cited

Falconer, K. J., Fractal Geometry: Mathematical Foundations and Applications, 2nd ed., Wiley, West Sussex, UK, p. 366 (2003).

10.1002/0470013850

Russ, J. C., Fractal Surfaces, Plenum Press, New York and London, p. 309 (1994).

10.1007/978-1-4899-2578-7

Barnsley, M. F., Fractal Everywhere, New ed., Dover Pub., NY, USA, p. 560 (2012).

Mandelbrot, B., The Fractal Geometry of Nature, Freeman, San Francisco, USA, p. 468 (1982).

Kaye, B. H., A Random Walk Through Fractal Dimensions, VCH, NY, USA, p. 235 (1989).

Niemark, A. V., Determination of the surface fractal dimensionality from the results of an adsorption experiment, J. Physical Chemistry 64(10):1397-1403 (1990).

Militky, J. and Bajzik, V., Surface roughness and fractal dimensions, The Journal of The Textile Institute 92(3):91-113 (2001).

10.1080/00405000108659617

Schaefer, D. W., Polymers, fractals, and ceramic materials, Science 243(4894):1023-1027 (1989).

10.1126/science.243.4894.1023

Kaye, B. H., Characterizing the flowability of a powder using the concepts of fractal geometry and chaos theory, Particle & Particle Systems Characterization 14(2):53-66 (1997).

10.1002/ppsc.199700013

Keller, J. B., Flow in random porous media, Transport in Porous Media 43:395-406 (2001).

10.1023/A:1010693520897

Rigby, S. P. and Gladden, L. F., The prediction of transport properties of porous media using fractal methods and NMR experimental techniques, Chem. Eng. Sci. 54:3503-3512 (1999).

10.1016/S0009-2509(98)00517-X

Oh, Y. T., Kim, H. W., and Park, J.-M., Surface roughness changes of handsheets depending on NBKP and LBKP mixing ratios, Journal of Korea TAPPI 50(4):47-53 (2018).

10.7584/JKTAPPI.2018.08.50.4.47

Lee, S. H., Kim, H. J., Ko, Y. C., Lee, J. H., Park, J. Y., Moon, B. G., and Park, J.-M., Characterization of surface properties of hygiene paper by fractal dimension analysis technique, Journal of Korea TAPPI 49(6):90-101 (2017).

10.7584/JKTAPPI.2017.12.49.6.90

Information

Publisher :Korea Technical Association of The Pulp and Paper Industry
Publisher(Ko) :한국펄프종이공학회
Journal Title :Journal of Korea TAPPI
Journal Title(Ko) :펄프종이기술
Volume : 51
No :6
Pages :36-44
Received Date : 2019-10-11
Revised Date : 2019-11-29
Accepted Date : 2019-12-02
DOI :https://doi.org/10.7584/JKTAPPI.2019.12.51.6.36

Journal of Korea TAPPI ISSN:0253-3200(Print) 펄프종이기술

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Literature Cited