Abstract

Surfactants - molecules and particles that preferentially adsorb to fluid interfaces - play a ubiquitous role in the fluids of industry, of nature, and of life. Since most surfactants cannot be seen directly, their behavior must be inferred from their impact on observed flows, like the buoyant rise of a bubble, or the thickness of a coating film. In so doing, however, a difficulty arises: physically distinct surfactant processes can affect measurable flows in qualitatively identical ways, raising the specter of confusion or even misinterpretation. This Perspective describes, in one coherent piece, both the equilibrium properties and dynamic processes of surfactants, to better enable the fluid mechanics community to understand, interpret, and design surfactant/fluid systems. Specifically, §2 treats the equilibrium thermodynamics of surfactants at interfaces, including surface pressure, isotherms of soluble and insoluble surfactants, and surface dilatational moduli (Gibbs and Marangoni). §3 describes surfactant dynamics in fluid systems, including surfactant transport and interfacial stress boundary conditions, the competition between surface diffusion, advection, and adsorption/desorption, Marangoni stresses and flows, and surface excess rheology. §4 discusses paradigmatic problems from fluid mechanics that are impacted by surfactants, including translating drops and bubbles, surfactant adsorption to clean and oscillating interfaces; capillary wave damping, thin film dynamics, foam drainage, and the dynamics of particles and probes at surfactant-laden interfaces. Finally, §5 discusses the additional richness and complexity that frequently arise in 'real' surfactants, including phase transitions, phase coexistence, and polycrystalline phases within surfactant monolayers, and their impact on non-Newtonian surface rheology.

Highlights

  • Interfaces between fluids appear throughout science, technology, industry and nature

  • Our objective is to identify the distinct ways in which the surfactant dynamics impacts measurable properties, such as the buoyant rising velocity of a bubble, the thickness of fluid entrained in dip coating or the drag on a probe translating on an interface

  • Long this Perspective may seem, it has at most laid out an intellectual skeleton for the mechanics and dynamics of surfactants in fluid systems

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Summary

Introduction

Interfaces between fluids appear throughout science, technology, industry and nature. That arise even in common surfactant systems – beyond the ‘simplest’ treatments in §§ 2–4 – with the goal of highlighting areas where standard assumptions may not capture experimental observations, and to encourage new directions for research and innovation

Surface tension and its origins
Insoluble surfactants
Compressibility
Soluble surfactants
Dynamic properties
Governing equations
Marangoni flows
Surface rheology
The Boussinesq–Scriven model
Surfactant dynamics in paradigmatic problems
Motion of surfactant-covered drops and bubbles
Oscillatory compression of soluble monolayers
Damping of capillary waves
Marangoni damping due to insoluble and surface inviscid surfactants
Thin films: surfactant dynamics affects thickness of coating
Insoluble and surface-inviscid surfactant
Thin-film drainage
Foams: surfactant properties impact macroscopic flows
Physico-chemical model
Particles and probes on surfactant-laden interfaces
Additional complexities with real-world surfactants
Phase behaviour of surfactant monolayers
Rheological implications of surface heterogeneities
Non-constant surface viscosity
Findings
Conclusion
Full Text
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