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Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents

Daniel Johnson Orcid Logo, Nidal Hilal

Journal of Membrane Science, Volume: 570, Pages: 9 - 22

Swansea University Authors: Daniel Johnson Orcid Logo, Nidal Hilal

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DOI (Published version): 10.1016/j.memsci.2018.10.024

Abstract

Surface roughness is a parameter widely reported when characterising membrane surfaces, due to its effect on membrane properties, such as fouling / biofouling and wetting. However, a surface does not have a single roughness value, rather the magnitude of measured roughness is dependent on the length...

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Published in: Journal of Membrane Science
ISSN: 0376-7388
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa44786
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first_indexed 2018-10-07T13:17:21Z
last_indexed 2020-07-01T18:59:59Z
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spelling 2020-07-01T16:35:38.6797606 v2 44786 2018-10-07 Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents 4bdcc306062428d2715b0dd308cc092f 0000-0001-6921-0389 Daniel Johnson Daniel Johnson true false 3acba771241d878c8e35ff464aec0342 Nidal Hilal Nidal Hilal true false 2018-10-07 Surface roughness is a parameter widely reported when characterising membrane surfaces, due to its effect on membrane properties, such as fouling / biofouling and wetting. However, a surface does not have a single roughness value, rather the magnitude of measured roughness is dependent on the length scales of measurement. Here, we report findings from roughness measurements of several commercial filtration membrane surfaces using atomic force microscopy. All membranes showed self-affine behaviour at scan sizes below approximately 10 μm, where the magnitude of root mean squared roughness, Rq, was described by both the scan length and an exponential factor, H. Furthermore we show that values of H can be obtained from power spectra of AFM images using a relatively simple approach. Using values of H and Rq obtained at a single scan size from image power spectra allowed us to estimate, within reasonable error, Rq values at other scan size, below a cross-over length. Above this crossover length roughness scaling was linear, rather than exponential for the membranes studied. Journal Article Journal of Membrane Science 570 9 22 0376-7388 Polymer membrane; roughness; atomic force microscopy; roughness scaling; surface characterization 15 1 2019 2019-01-15 10.1016/j.memsci.2018.10.024 COLLEGE NANME COLLEGE CODE Swansea University 2020-07-01T16:35:38.6797606 2018-10-07T06:46:38.4149810 Daniel Johnson 0000-0001-6921-0389 1 Nidal Hilal 2 0044786-08102018155038.pdf johnson2018.pdf 2018-10-08T15:50:38.4570000 Output 10793594 application/pdf Accepted Manuscript true 2019-10-13T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng
title Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
spellingShingle Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
Daniel Johnson
Nidal Hilal
title_short Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
title_full Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
title_fullStr Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
title_full_unstemmed Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
title_sort Polymer Membranes – Fractal Characteristics and Determination of Roughness Scaling Exponents
author_id_str_mv 4bdcc306062428d2715b0dd308cc092f
3acba771241d878c8e35ff464aec0342
author_id_fullname_str_mv 4bdcc306062428d2715b0dd308cc092f_***_Daniel Johnson
3acba771241d878c8e35ff464aec0342_***_Nidal Hilal
author Daniel Johnson
Nidal Hilal
author2 Daniel Johnson
Nidal Hilal
format Journal article
container_title Journal of Membrane Science
container_volume 570
container_start_page 9
publishDate 2019
institution Swansea University
issn 0376-7388
doi_str_mv 10.1016/j.memsci.2018.10.024
document_store_str 1
active_str 0
description Surface roughness is a parameter widely reported when characterising membrane surfaces, due to its effect on membrane properties, such as fouling / biofouling and wetting. However, a surface does not have a single roughness value, rather the magnitude of measured roughness is dependent on the length scales of measurement. Here, we report findings from roughness measurements of several commercial filtration membrane surfaces using atomic force microscopy. All membranes showed self-affine behaviour at scan sizes below approximately 10 μm, where the magnitude of root mean squared roughness, Rq, was described by both the scan length and an exponential factor, H. Furthermore we show that values of H can be obtained from power spectra of AFM images using a relatively simple approach. Using values of H and Rq obtained at a single scan size from image power spectra allowed us to estimate, within reasonable error, Rq values at other scan size, below a cross-over length. Above this crossover length roughness scaling was linear, rather than exponential for the membranes studied.
published_date 2019-01-15T03:56:11Z
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score 10.999524

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