Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface

Konstantin Ludanov

doi:doi:10.11648/j.wjap.20200503.12

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Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface

Konstantin Ludanov

Published in World Journal of Applied Physics (Volume 5, Issue 3)

Received: 4 November 2020 Accepted: 17 November 2020 Published: 27 November 2020

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Abstract

This article is devoted to the development of fundamentally new methods for the experimental determination of the physical properties of substances - methods of their "joint determination", when not a single property is measured, but two physical properties connected with each other. For example, this is the coefficient of surface tension σ of the liquid and the contact angle θ of wetting the surface by it, which here act as parameters of capillary forces at the interface. The purpose of such methods is not so much a banal arithmetic increase in the obtained experimental data, as a significant increase in their determination accuracy by reducing the statistical error (variance). In such cases, we have the so-called methods of indirect (indirect) measurement, which in this case are based not on the measurement of σ and θ directly, but on the measurement of the height h and weight ∆W of the meniscus hanging on a vertical surface, and on the subsequent solution of the resulting system of two equations that are analytical expressions for h and ∆W (i.e., a system of two equations with two unknowns: σ and θ). In the case of using a Wilhelmy plate in the experiment, the solution of such a system of equations leads to explicit analytical expressions for both unknowns (σ and θ), and in the case of using a cylindrical filament in the experiment, analytical expressions for the unknowns are obtained in an implicit form: in this case, to determine the value of the boundary of the angle θ, a recursive formula is proposed.

Published in	World Journal of Applied Physics (Volume 5, Issue 3)
DOI	10.11648/j.wjap.20200503.12
Page(s)	39-42
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Surface Tension Coefficient, Contact Angle, Capillary Meniscus, Wilhelmy Plate Method, Newman's Variant, Meniscus Weight, Meniscus Height, Microscope-Cathetometer

References

[1]	Ludanov Konstantin. (2019) Method of joint determination of the capillary complex and kinematic viscosity. International Journal IJRTEM. Vol. 3, Issue 7, No. 11/12, PP 34-38.
[2]	Ludanov Konstantin. (2019) Experimental determination of the optical properties of glass. International Journal of Applied Physics. Vol. 6, Issue 3, PP 36-40. doi: 10.14445/23500/IJAP-V613P107.
[3]	Nalimov V. V., Golikova G. I. (1976) Logical foundations for planning experiments. Moskow: Metallurgy.
[4]	Adamson A. (1979) Physical Chemistry of Surface. Moskow: MIR.
[5]	Wilhelmy L. (1863) Ann. Physic, V. 119, p. 177.
[6]	Simon A. D. (1974) Liquid adhesion and wetting. Moskow: Chemistry.
[7]	Kikoin I. K. (1968) Molecular physics. Kiev: V. Sh.
[8]	Adam N. K. (1947) Surface physics and chemistry. Moskow: FM.
[9]	Neumann A. W. (1964) Z. Phys. Chem., NF 41, 339&NF43, 71.
[10]	Patent No. 75515, Ukraine, IPC G 01 N 13/02. Method of joint determination of the parameters of capillary forces at the phase boundary / Ludanov Konstantin, publ. 04.17.2006, Bul. No. 4.
[11]	Neumann A. W., Tanner W. (1967) Tenside, 4, 220.
[12]	Patent No. 81999, Ukraine, IPC G 01 N 13/00. Method of joint determination of the parameters of capillary forces at the boundary of contact of phases / Ludanov Konstantin, publ. 02.25.2008, Bul. No. 2.
[13]	Chizmatzhev Yu. A. and oth. (1971) Macrokinetics of processes in porous media. Ed. "Science".
[14]	Vilenkin N. Ya. (1961) Method of successive approximations. Moskow: Fizmatgiz.

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Konstantin Ludanov. (2020). Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface. World Journal of Applied Physics, 5(3), 39-42. https://doi.org/10.11648/j.wjap.20200503.12

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ACS Style

Konstantin Ludanov. Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface. World J. Appl. Phys. 2020, 5(3), 39-42. doi: 10.11648/j.wjap.20200503.12

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AMA Style

Konstantin Ludanov. Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface. World J Appl Phys. 2020;5(3):39-42. doi: 10.11648/j.wjap.20200503.12

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@article{10.11648/j.wjap.20200503.12,
  author = {Konstantin Ludanov},
  title = {Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface},
  journal = {World Journal of Applied Physics},
  volume = {5},
  number = {3},
  pages = {39-42},
  doi = {10.11648/j.wjap.20200503.12},
  url = {https://doi.org/10.11648/j.wjap.20200503.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20200503.12},
  abstract = {This article is devoted to the development of fundamentally new methods for the experimental determination of the physical properties of substances - methods of their "joint determination", when not a single property is measured, but two physical properties connected with each other. For example, this is the coefficient of surface tension σ of the liquid and the contact angle θ of wetting the surface by it, which here act as parameters of capillary forces at the interface. The purpose of such methods is not so much a banal arithmetic increase in the obtained experimental data, as a significant increase in their determination accuracy by reducing the statistical error (variance). In such cases, we have the so-called methods of indirect (indirect) measurement, which in this case are based not on the measurement of σ and θ directly, but on the measurement of the height h and weight ∆W of the meniscus hanging on a vertical surface, and on the subsequent solution of the resulting system of two equations that are analytical expressions for h and ∆W (i.e., a system of two equations with two unknowns: σ and θ). In the case of using a Wilhelmy plate in the experiment, the solution of such a system of equations leads to explicit analytical expressions for both unknowns (σ and θ), and in the case of using a cylindrical filament in the experiment, analytical expressions for the unknowns are obtained in an implicit form: in this case, to determine the value of the boundary of the angle θ, a recursive formula is proposed.},
 year = {2020}
}

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TY  - JOUR
T1  - Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface
AU  - Konstantin Ludanov
Y1  - 2020/11/27
PY  - 2020
N1  - https://doi.org/10.11648/j.wjap.20200503.12
DO  - 10.11648/j.wjap.20200503.12
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 39
EP  - 42
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20200503.12
AB  - This article is devoted to the development of fundamentally new methods for the experimental determination of the physical properties of substances - methods of their "joint determination", when not a single property is measured, but two physical properties connected with each other. For example, this is the coefficient of surface tension σ of the liquid and the contact angle θ of wetting the surface by it, which here act as parameters of capillary forces at the interface. The purpose of such methods is not so much a banal arithmetic increase in the obtained experimental data, as a significant increase in their determination accuracy by reducing the statistical error (variance). In such cases, we have the so-called methods of indirect (indirect) measurement, which in this case are based not on the measurement of σ and θ directly, but on the measurement of the height h and weight ∆W of the meniscus hanging on a vertical surface, and on the subsequent solution of the resulting system of two equations that are analytical expressions for h and ∆W (i.e., a system of two equations with two unknowns: σ and θ). In the case of using a Wilhelmy plate in the experiment, the solution of such a system of equations leads to explicit analytical expressions for both unknowns (σ and θ), and in the case of using a cylindrical filament in the experiment, analytical expressions for the unknowns are obtained in an implicit form: in this case, to determine the value of the boundary of the angle θ, a recursive formula is proposed.
VL  - 5
IS  - 3
ER  -

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Author Information

Konstantin Ludanov

Institute for Renewable Energy, NAS of Ukraine, Kiev, Ukraine

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APA Style

Konstantin Ludanov. (2020). Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface. World Journal of Applied Physics, 5(3), 39-42. https://doi.org/10.11648/j.wjap.20200503.12

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ACS Style

Konstantin Ludanov. Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface. World J. Appl. Phys. 2020, 5(3), 39-42. doi: 10.11648/j.wjap.20200503.12

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AMA Style

Konstantin Ludanov. Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface. World J Appl Phys. 2020;5(3):39-42. doi: 10.11648/j.wjap.20200503.12

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@article{10.11648/j.wjap.20200503.12,
  author = {Konstantin Ludanov},
  title = {Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface},
  journal = {World Journal of Applied Physics},
  volume = {5},
  number = {3},
  pages = {39-42},
  doi = {10.11648/j.wjap.20200503.12},
  url = {https://doi.org/10.11648/j.wjap.20200503.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20200503.12},
  abstract = {This article is devoted to the development of fundamentally new methods for the experimental determination of the physical properties of substances - methods of their "joint determination", when not a single property is measured, but two physical properties connected with each other. For example, this is the coefficient of surface tension σ of the liquid and the contact angle θ of wetting the surface by it, which here act as parameters of capillary forces at the interface. The purpose of such methods is not so much a banal arithmetic increase in the obtained experimental data, as a significant increase in their determination accuracy by reducing the statistical error (variance). In such cases, we have the so-called methods of indirect (indirect) measurement, which in this case are based not on the measurement of σ and θ directly, but on the measurement of the height h and weight ∆W of the meniscus hanging on a vertical surface, and on the subsequent solution of the resulting system of two equations that are analytical expressions for h and ∆W (i.e., a system of two equations with two unknowns: σ and θ). In the case of using a Wilhelmy plate in the experiment, the solution of such a system of equations leads to explicit analytical expressions for both unknowns (σ and θ), and in the case of using a cylindrical filament in the experiment, analytical expressions for the unknowns are obtained in an implicit form: in this case, to determine the value of the boundary of the angle θ, a recursive formula is proposed.},
 year = {2020}
}

Copy | Download

TY  - JOUR
T1  - Methods for Joint Determination of the Surface Tension Coefficient of a Liquid and the Contact Angle of Wetting the Hard Surface
AU  - Konstantin Ludanov
Y1  - 2020/11/27
PY  - 2020
N1  - https://doi.org/10.11648/j.wjap.20200503.12
DO  - 10.11648/j.wjap.20200503.12
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 39
EP  - 42
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20200503.12
AB  - This article is devoted to the development of fundamentally new methods for the experimental determination of the physical properties of substances - methods of their "joint determination", when not a single property is measured, but two physical properties connected with each other. For example, this is the coefficient of surface tension σ of the liquid and the contact angle θ of wetting the surface by it, which here act as parameters of capillary forces at the interface. The purpose of such methods is not so much a banal arithmetic increase in the obtained experimental data, as a significant increase in their determination accuracy by reducing the statistical error (variance). In such cases, we have the so-called methods of indirect (indirect) measurement, which in this case are based not on the measurement of σ and θ directly, but on the measurement of the height h and weight ∆W of the meniscus hanging on a vertical surface, and on the subsequent solution of the resulting system of two equations that are analytical expressions for h and ∆W (i.e., a system of two equations with two unknowns: σ and θ). In the case of using a Wilhelmy plate in the experiment, the solution of such a system of equations leads to explicit analytical expressions for both unknowns (σ and θ), and in the case of using a cylindrical filament in the experiment, analytical expressions for the unknowns are obtained in an implicit form: in this case, to determine the value of the boundary of the angle θ, a recursive formula is proposed.
VL  - 5
IS  - 3
ER  -

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