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Published on: June 3, 2015
Universal Thinning of Liquid Filaments under Dominant Surface Forces
1Grupo de Mecánica de Fluidos, Departamento de Ingeniería Térmica y de Fluidos, Universidad Carlos III de Madrid. Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain.
Researchers explored liquid thread thinning with high surfactant concentrations. They found an asymptotic regime where surface tension balances viscous stresses, enabling measurement of surface viscosity coefficients.
Area of Science:
- Fluid dynamics
- Surface science
- Rheology
Background:
- Liquid thread thinning is crucial in various industrial processes.
- Surfactant concentration significantly impacts interfacial properties and fluid behavior.
- Understanding surface rheology is key to predicting and controlling thin film dynamics.
Purpose of the Study:
- To investigate the asymptotic thinning regime of liquid threads with high surfactant concentrations.
- To identify the relationship between surface tension, surface viscosity, and thinning dynamics.
- To explore the potential for measuring surface viscosity coefficients using this phenomenon.
Main Methods:
- Theoretical analysis of fluid flow in thinning liquid threads.
- Numerical simulations to model the thinning process under specific conditions.
- Derivation of the e-fold thinning time based on physical parameters.
Main Results:
- An asymptotic thinning regime was identified where surface tension balances surface viscous stresses.
- The e-fold thinning time is described by F(Θ)(3μ_{s}+κ_{s})/σ, dependent on surface viscosity coefficients (μ_{s}, κ_{s}) and interfacial tension (σ).
- A universal function F(Θ) was found, where Θ = κ_{s}/μ_{s}.
Conclusions:
- The study reveals a distinct thinning behavior in liquid threads at high surfactant concentrations.
- The derived e-fold time provides a pathway for quantifying surface shear and dilatational viscosity.
- This phenomenon offers a potential method for in-situ measurement of surface rheological properties.
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