LAPSE:2023.6159
Published Article

LAPSE:2023.6159
A New Method for Determining Interfacial Tension: Verification and Validation
February 23, 2023
Abstract
Surface tension is a meaningful parameter influencing boiling and condensation in macroscopic scale, in confined spaces, or for nanofluids; it further affects boiling with surfactants. Surface, or interfacial, tension is an important property in the research into increasing heat transfer, enhancing efficiency of photovoltaic systems, improving engine operation, or forming drugs or polymers. It is often determined using axisymmetric drop shape analysis based on the differential equations system formulated by Bashforth and Adams. The closed-form expression of the interface shape states the radii defining the bubbles are the negative numbers, which causes the temperature profile drops along the heat transfer direction, e.g., in the Wiśniewski formulas for the temperature in the vapor bubbles; moreover, the drop, or bubble, possesses only one main radius of curvature, which may reduce the number of the unknowns and equations in the Bashforth and Adams algorithm. An alternative method applying the closed-form expression for the droplet shape is validated for the water (denser) drop flowing down in octane (the lighter liquid); its spare equation is used for verifying the outcomes.
Surface tension is a meaningful parameter influencing boiling and condensation in macroscopic scale, in confined spaces, or for nanofluids; it further affects boiling with surfactants. Surface, or interfacial, tension is an important property in the research into increasing heat transfer, enhancing efficiency of photovoltaic systems, improving engine operation, or forming drugs or polymers. It is often determined using axisymmetric drop shape analysis based on the differential equations system formulated by Bashforth and Adams. The closed-form expression of the interface shape states the radii defining the bubbles are the negative numbers, which causes the temperature profile drops along the heat transfer direction, e.g., in the Wiśniewski formulas for the temperature in the vapor bubbles; moreover, the drop, or bubble, possesses only one main radius of curvature, which may reduce the number of the unknowns and equations in the Bashforth and Adams algorithm. An alternative method applying the closed-form expression for the droplet shape is validated for the water (denser) drop flowing down in octane (the lighter liquid); its spare equation is used for verifying the outcomes.
Record ID
Keywords
ADSA, AFLI, axisymmetric drop shape analysis, axisymmetric fluid–liquid interfaces, boiling, heat and mass transfer, surface energy, surface tension, Young–Laplace equation
Subject
Suggested Citation
Gajewski A, Teleszewski TJ. A New Method for Determining Interfacial Tension: Verification and Validation. (2023). LAPSE:2023.6159
Author Affiliations
Gajewski A: Department of HVAC Engineering, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, ul. Wiejska 45a, 15-351 Bialystok, Poland [ORCID]
Teleszewski TJ: Department of HVAC Engineering, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, ul. Wiejska 45a, 15-351 Bialystok, Poland [ORCID]
Teleszewski TJ: Department of HVAC Engineering, Faculty of Civil Engineering and Environmental Sciences, Bialystok University of Technology, ul. Wiejska 45a, 15-351 Bialystok, Poland [ORCID]
Journal Name
Energies
Volume
16
Issue
2
First Page
613
Year
2023
Publication Date
2023-01-04
ISSN
1996-1073
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Original Submission
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PII: en16020613, Publication Type: Journal Article
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LAPSE:2023.6159
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https://doi.org/10.3390/en16020613
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Feb 23, 2023
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