Steady streaming and mass transfer due to capillary waves in a two-layer system

A. L. Yarin

doi:10.1016/S0169-5983(02)00089-8

Steady streaming and mass transfer due to capillary waves in a two-layer system

A. L. Yarin

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The work deals with stationary (dc) streaming flows resulting from standing capillary waves at the interface between two immiscible liquid layers, and with their effect on the mass transfer rate of a passive scalar (for example, a protein). Planar layers in a narrow channel are considered. Secondary streaming flows in the Stokes layers near the interfaces are calculated, as well as the corresponding vortical flows arising in the bulk. It is shown that the vortices can significantly enhance the mass transfer rate of a passive scalar which is to be extracted by one liquid from the other. The corresponding Sherwood number is of order [u^*_intλ/D₁]^1/2, where u^*_int is the magnitude of the interfacial streaming velocity, λ is the wavelength, and D₁ is the diffusion coefficient in liquid 1. This means that the effective diffusion coefficient is of order

Original language	English
Pages (from-to)	79-102
Number of pages	24
Journal	Fluid Dynamics Research
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/S0169-5983(02)00089-8
Publication status	Published - 2002 Aug

Bibliographical note

Funding Information:
This research was supported in part by BSF—the United States—Israel Binational Foundation, Research Grant No. 97-118.

Keywords

Mass transfer at liquid-liquid interface
Standing capillary waves
Stationary de streaming
Two-layer system

ASJC Scopus subject areas

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

Access to Document

10.1016/S0169-5983(02)00089-8

Cite this

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title = "Steady streaming and mass transfer due to capillary waves in a two-layer system",

abstract = "The work deals with stationary (dc) streaming flows resulting from standing capillary waves at the interface between two immiscible liquid layers, and with their effect on the mass transfer rate of a passive scalar (for example, a protein). Planar layers in a narrow channel are considered. Secondary streaming flows in the Stokes layers near the interfaces are calculated, as well as the corresponding vortical flows arising in the bulk. It is shown that the vortices can significantly enhance the mass transfer rate of a passive scalar which is to be extracted by one liquid from the other. The corresponding Sherwood number is of order [u*intλ/D1]1/2, where u*int is the magnitude of the interfacial streaming velocity, λ is the wavelength, and D1 is the diffusion coefficient in liquid 1. This means that the effective diffusion coefficient is of order",

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AU - Yarin, A. L.

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PY - 2002/8

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AB - The work deals with stationary (dc) streaming flows resulting from standing capillary waves at the interface between two immiscible liquid layers, and with their effect on the mass transfer rate of a passive scalar (for example, a protein). Planar layers in a narrow channel are considered. Secondary streaming flows in the Stokes layers near the interfaces are calculated, as well as the corresponding vortical flows arising in the bulk. It is shown that the vortices can significantly enhance the mass transfer rate of a passive scalar which is to be extracted by one liquid from the other. The corresponding Sherwood number is of order [u*intλ/D1]1/2, where u*int is the magnitude of the interfacial streaming velocity, λ is the wavelength, and D1 is the diffusion coefficient in liquid 1. This means that the effective diffusion coefficient is of order

KW - Mass transfer at liquid-liquid interface

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Steady streaming and mass transfer due to capillary waves in a two-layer system

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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