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Quantitative evaluation of surface roughness for granular materials using Gaussian filter method

Lookup NU author(s): Dr Sadegh NadimiORCiD



This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).


This contribution proposes a methodology to measure the surface roughness of granular materials using the Gaussian filter. Artificially generated rough surfaces with known root mean square roughness (Sq) combined with the spherical base shape are analysed to determine the optimum cut-off wavelength (σ* ) used in the Gaussian filter. Considering a combined dependency of Sq and particle size (D) on σ* , an empirical equation using regression analysis is derived to describe their relationship. The regression equation is further found to be applicable for granular materials including glass beads and natural sand grains with irregular base shapes. To implement the proposed Gaussian filter method into practical use, a detailed guideline is given to determine Sq including the selection of representativeSurface roughness, Optical interferometry, Gaussian filter measurement area. Finally, quantitative comparisons of Sq are made to distinguish the difference between the proposed method and motif method.

Publication metadata

Author(s): Li Y, Otsubo M, Kuwano R, Nadimi S

Publication type: Article

Publication status: Published

Journal: Powder Technology

Year: 2021

Volume: 388

Pages: 251-260

Print publication date: 01/08/2021

Online publication date: 27/04/2021

Acceptance date: 25/04/2021

Date deposited: 14/07/2021

ISSN (electronic): 0032-5910

Publisher: Elsevier


DOI: 10.1016/j.powtec.2021.04.068


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