Abstract
The work is devoted to stationary streaming flows resulting from standing capillary waves at interfaces between two immiscible liquids and their effect on the mass transfer rate of a passive scalar. In particular, oscillating liquid droplets immersed in another immiscible liquid are considered. Secondary streaming flows in the Stokes layers near the interface are calculated,as well as the corresponding vortical flows arising in the bulk. It is shown that the vortices can drastically 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 the order of [uinta/D1]1/2, where uint is the magnitude of the interfacial streaming velocity, a is the droplet radius, and D1 is the diffusion coefficient in liquid 1 (inside the droplet). This means that the effective diffusion coefficient is of the order of D1 [Uinta/D1]1/2, which is two orders of magnitude higher than D1. The results obtained show that such flows can be of potential interest for novel bioseparator devices.
| Original language | English |
|---|---|
| Pages (from-to) | 321-342 |
| Number of pages | 22 |
| Journal | Journal of Fluid Mechanics |
| Volume | 444 |
| DOIs | |
| Publication status | Published - 2001 Oct 10 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mechanics of Materials
- Computational Mechanics
- Physics and Astronomy(all)
- Condensed Matter Physics
Cite this
Stationary d.c. streaming due to shape oscillations of a droplet and its effect on mass transfer in liquid-liquid systems. / Yarin, Alexander.
In: Journal of Fluid Mechanics, Vol. 444, 10.10.2001, p. 321-342.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stationary d.c. streaming due to shape oscillations of a droplet and its effect on mass transfer in liquid-liquid systems
AU - Yarin, Alexander
PY - 2001/10/10
Y1 - 2001/10/10
N2 - The work is devoted to stationary streaming flows resulting from standing capillary waves at interfaces between two immiscible liquids and their effect on the mass transfer rate of a passive scalar. In particular, oscillating liquid droplets immersed in another immiscible liquid are considered. Secondary streaming flows in the Stokes layers near the interface are calculated,as well as the corresponding vortical flows arising in the bulk. It is shown that the vortices can drastically 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 the order of [uinta/D1]1/2, where uint is the magnitude of the interfacial streaming velocity, a is the droplet radius, and D1 is the diffusion coefficient in liquid 1 (inside the droplet). This means that the effective diffusion coefficient is of the order of D1 [Uinta/D1]1/2, which is two orders of magnitude higher than D1. The results obtained show that such flows can be of potential interest for novel bioseparator devices.
AB - The work is devoted to stationary streaming flows resulting from standing capillary waves at interfaces between two immiscible liquids and their effect on the mass transfer rate of a passive scalar. In particular, oscillating liquid droplets immersed in another immiscible liquid are considered. Secondary streaming flows in the Stokes layers near the interface are calculated,as well as the corresponding vortical flows arising in the bulk. It is shown that the vortices can drastically 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 the order of [uinta/D1]1/2, where uint is the magnitude of the interfacial streaming velocity, a is the droplet radius, and D1 is the diffusion coefficient in liquid 1 (inside the droplet). This means that the effective diffusion coefficient is of the order of D1 [Uinta/D1]1/2, which is two orders of magnitude higher than D1. The results obtained show that such flows can be of potential interest for novel bioseparator devices.
UR - http://www.scopus.com/inward/record.url?scp=0035840903&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035840903&partnerID=8YFLogxK
U2 - 10.1017/S0022112001005493
DO - 10.1017/S0022112001005493
M3 - Article
AN - SCOPUS:0035840903
VL - 444
SP - 321
EP - 342
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -