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Interfacial tension measurements using a new axisymmetric drop/bubble shape technique.
M A Cabrerizo-Vilchez1, J R Fernández2, M A Fernández-Rodríguez3
1Biocolloid and Fluid Physics Group, Applied Physics Department, Faculty of Sciences, University of Granada Avda. de la Fuente Nueva s/n E-18071 Granada Spain.
RSC Advances
|May 6, 2022
Summary
A new mathematical model accurately computes interfacial tension for drops and bubbles using the Young-Laplace equation and Newton
Area of Science:
- Fluid dynamics
- Interfacial phenomena
- Mathematical modeling
Background:
- Accurate computation of interfacial tension is crucial for understanding fluid behavior.
- Existing models may have limitations in handling specific geometries or conditions.
Purpose of the Study:
- To introduce a novel mathematical model for calculating interfacial tension.
- To provide a versatile and reproducible method for analyzing drops and bubbles.
Main Methods:
- The Young-Laplace equation is employed to describe interface shape.
- Numerical differentiation and the Newton method are used for solving the equations.
- Boundary conditions ensure prescribed volume and fixed position.
Main Results:
- The model was validated using theoretical bubble and drop data.
- Numerical results were obtained for water and surfactant solutions.
- Demonstrated applicability for both pendant/sessile drops and pendant/captive bubbles.
Conclusions:
- The proposed mathematical model offers a reliable approach for interfacial tension computation.
- The methodology is versatile, applicable to various fluids and bubble/drop configurations.
- The approach is reproducible and suitable for scientific research.
