Assessing and predicting granular-materials hydrophobicity by parametrizing a general equation of state

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Original languageEnglish
Pages (from-to)355-366
Number of pages12
JournalJournal of Plant Nutrition and Soil Science
Volume175
Issue number3
Publication statusPublished - Jun 2012

Abstract

Wettability is related to forces or surface tensions (σ) acting at the solid-liquid-vapor interface. Given that surface tensions are difficult to assess directly, contact angles (CA) are used as indicators of the balance of forces acting in the system. In this context, the ES theory was developed as an alternative to assess the σ parameters of the Young's equation. This research evaluates the applicability of a proposed equation of state (ES), which is in theory also able to predict the CA of a sample when two σ parameters of the Young's equation and two fitting parameters (β and α) of the function Φ = (σSL) are known (Φ: molecular interaction parameter, σSL: solid-liquid surface tension). These parameters were determined by different experimental methods assessing the CA, in order to determine which method is more suitable to validate the ES theory: Capillary Rise Method (CRM) and Wilhelmy Plate Method (WPM). For WPM, two modes (advancing and equilibrium CA) were applied. Finally, results of CA between the experimental measurements obtained by WPM and those predicted by the ES were compared. Samples of coarse silt, fine sand, and nonporous glass beads with different levels of water repellency were used as test materials. In line with previous research, all methods showed lower values of σ for samples with increasing hydrophobicity. At the same time, Φ reduces consistently with higher hydrophobicity, up to ≈ 0.5-0.6 based on CRM and WPM-ECA data, and even lower (≈ 0.1-0.2) in WPM-ACA. α increased with higher hydrophobicity, having relatively stable values in samples having σSV > 40 mN m-1. β showed stable values for samples having σSV > 35-40 mN m-1. In hydrophobic samples (σSV < 35 mN m-1), β decreased in calculations based on WPM-ACA data, and to a minor degree in WPM-ECA. The agreement between the CA directly measured (WPM) and those predicted by the ES was low, although better for the WPM-ECA, suggesting that this last approach can be considered more suitable to evaluate the ES theory.

Keywords

    Capillary Rise Method, Empirical approach, Interaction parameter, Soil wettability, Surface tension, Wilhelmy Plate Method

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Assessing and predicting granular-materials hydrophobicity by parametrizing a general equation of state. / Ramírez-Flores, Juan carlos; Bachmann, Jörg.
In: Journal of Plant Nutrition and Soil Science, Vol. 175, No. 3, 06.2012, p. 355-366.

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abstract = "Wettability is related to forces or surface tensions (σ) acting at the solid-liquid-vapor interface. Given that surface tensions are difficult to assess directly, contact angles (CA) are used as indicators of the balance of forces acting in the system. In this context, the ES theory was developed as an alternative to assess the σ parameters of the Young's equation. This research evaluates the applicability of a proposed equation of state (ES), which is in theory also able to predict the CA of a sample when two σ parameters of the Young's equation and two fitting parameters (β and α) of the function Φ = (σSL) are known (Φ: molecular interaction parameter, σSL: solid-liquid surface tension). These parameters were determined by different experimental methods assessing the CA, in order to determine which method is more suitable to validate the ES theory: Capillary Rise Method (CRM) and Wilhelmy Plate Method (WPM). For WPM, two modes (advancing and equilibrium CA) were applied. Finally, results of CA between the experimental measurements obtained by WPM and those predicted by the ES were compared. Samples of coarse silt, fine sand, and nonporous glass beads with different levels of water repellency were used as test materials. In line with previous research, all methods showed lower values of σ for samples with increasing hydrophobicity. At the same time, Φ reduces consistently with higher hydrophobicity, up to ≈ 0.5-0.6 based on CRM and WPM-ECA data, and even lower (≈ 0.1-0.2) in WPM-ACA. α increased with higher hydrophobicity, having relatively stable values in samples having σSV > 40 mN m-1. β showed stable values for samples having σSV > 35-40 mN m-1. In hydrophobic samples (σSV < 35 mN m-1), β decreased in calculations based on WPM-ACA data, and to a minor degree in WPM-ECA. The agreement between the CA directly measured (WPM) and those predicted by the ES was low, although better for the WPM-ECA, suggesting that this last approach can be considered more suitable to evaluate the ES theory.",
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T1 - Assessing and predicting granular-materials hydrophobicity by parametrizing a general equation of state

AU - Ramírez-Flores, Juan carlos

AU - Bachmann, Jörg

N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2012/6

Y1 - 2012/6

N2 - Wettability is related to forces or surface tensions (σ) acting at the solid-liquid-vapor interface. Given that surface tensions are difficult to assess directly, contact angles (CA) are used as indicators of the balance of forces acting in the system. In this context, the ES theory was developed as an alternative to assess the σ parameters of the Young's equation. This research evaluates the applicability of a proposed equation of state (ES), which is in theory also able to predict the CA of a sample when two σ parameters of the Young's equation and two fitting parameters (β and α) of the function Φ = (σSL) are known (Φ: molecular interaction parameter, σSL: solid-liquid surface tension). These parameters were determined by different experimental methods assessing the CA, in order to determine which method is more suitable to validate the ES theory: Capillary Rise Method (CRM) and Wilhelmy Plate Method (WPM). For WPM, two modes (advancing and equilibrium CA) were applied. Finally, results of CA between the experimental measurements obtained by WPM and those predicted by the ES were compared. Samples of coarse silt, fine sand, and nonporous glass beads with different levels of water repellency were used as test materials. In line with previous research, all methods showed lower values of σ for samples with increasing hydrophobicity. At the same time, Φ reduces consistently with higher hydrophobicity, up to ≈ 0.5-0.6 based on CRM and WPM-ECA data, and even lower (≈ 0.1-0.2) in WPM-ACA. α increased with higher hydrophobicity, having relatively stable values in samples having σSV > 40 mN m-1. β showed stable values for samples having σSV > 35-40 mN m-1. In hydrophobic samples (σSV < 35 mN m-1), β decreased in calculations based on WPM-ACA data, and to a minor degree in WPM-ECA. The agreement between the CA directly measured (WPM) and those predicted by the ES was low, although better for the WPM-ECA, suggesting that this last approach can be considered more suitable to evaluate the ES theory.

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