Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions

The air–water interface in flowing systems remains a challenge to model, even in cases where the interface is essentially flat. This is because even though each side is governed by the Navier–Stokes equations, the stress balance which provides the boundary conditions for the equations involves prope...

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Main Authors: Amir H. Hirsa, Juan M. Lopez
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/6/6/198
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author Amir H. Hirsa
Juan M. Lopez
author_facet Amir H. Hirsa
Juan M. Lopez
author_sort Amir H. Hirsa
collection DOAJ
description The air–water interface in flowing systems remains a challenge to model, even in cases where the interface is essentially flat. This is because even though each side is governed by the Navier–Stokes equations, the stress balance which provides the boundary conditions for the equations involves properties associated with surfactants that are inevitably present at the air–water interface. Aside from challenges in measuring interfacial properties, either intrinsic or flow-dependent, the two-way coupling of bulk and interfacial flows is non-trivial, even for very simple flow geometries. Here, we present an overview of the physics associated with surfactant monolayers of flowing liquid and describe how the monolayer affects the bulk flow and how the monolayer is transported and deformed by the bulk flow. The emphasis is primarily on cylindrical flow geometries, and both Newtonian and non-Newtonian interfacial responses are considered. We consider interfacial flows that are solenoidal as well as those where the surface velocity is not divergence free.
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spelling doaj.art-3ff773e7c773455fa5790fb9ad0f61922023-11-21T21:17:03ZengMDPI AGFluids2311-55212021-05-016619810.3390/fluids6060198Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein SolutionsAmir H. Hirsa0Juan M. Lopez1Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USASchool of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USAThe air–water interface in flowing systems remains a challenge to model, even in cases where the interface is essentially flat. This is because even though each side is governed by the Navier–Stokes equations, the stress balance which provides the boundary conditions for the equations involves properties associated with surfactants that are inevitably present at the air–water interface. Aside from challenges in measuring interfacial properties, either intrinsic or flow-dependent, the two-way coupling of bulk and interfacial flows is non-trivial, even for very simple flow geometries. Here, we present an overview of the physics associated with surfactant monolayers of flowing liquid and describe how the monolayer affects the bulk flow and how the monolayer is transported and deformed by the bulk flow. The emphasis is primarily on cylindrical flow geometries, and both Newtonian and non-Newtonian interfacial responses are considered. We consider interfacial flows that are solenoidal as well as those where the surface velocity is not divergence free.https://www.mdpi.com/2311-5521/6/6/198surfactantinterfacial stresssurface tensionsurface viscosities
spellingShingle Amir H. Hirsa
Juan M. Lopez
Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions
Fluids
surfactant
interfacial stress
surface tension
surface viscosities
title Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions
title_full Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions
title_fullStr Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions
title_full_unstemmed Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions
title_short Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions
title_sort coupling vortical bulk flows to the air water interface from putting oil on troubled waters to surfactants on protein solutions
topic surfactant
interfacial stress
surface tension
surface viscosities
url https://www.mdpi.com/2311-5521/6/6/198
work_keys_str_mv AT amirhhirsa couplingvorticalbulkflowstotheairwaterinterfacefromputtingoilontroubledwaterstosurfactantsonproteinsolutions
AT juanmlopez couplingvorticalbulkflowstotheairwaterinterfacefromputtingoilontroubledwaterstosurfactantsonproteinsolutions