Loading...
Please wait, while we are loading the content...
Similar Documents
An Analytical Criterion for Separation-Driven Coalescence of Droplets
| Content Provider | Semantic Scholar |
|---|---|
| Author | Stone, Howard A. |
| Copyright Year | 2008 |
| Abstract | Submitted for the DFD08 Meeting of The American Physical Society An Analytical Criterion for Separation-Driven Coalescence of Droplets ANN LAI, HOWARD STONE, Harvard University — Recent experiments by Bremond et al. [1], along with simulations by Yoon et al. [2], have demonstrated that two droplets coalesce as they are separating rather than upon their collision. We analyze the experimental configuration in the limit that the continuous phase is more viscous than the droplet phase by applying lubrication analysis followed by the method of domain perturbations to determine the evolution of the deformation as a function of time. We find that there is a universal shape for the deformed droplet at the time of contact. In particular, for two droplets of radius, R, moving apart according to h0(t) = h0(0)+αt, where 2h0(t) is the separation distance, we define a nondimensional parameter, A = 3μR 2√α γ[h0(0)] , where μ is the viscosity of the continuous phase and γ is the interfacial tension. There exists a critical value, Acrit = 3.0792, below which coalescence cannot occur. [1] N. Bremond, A.R. Thiam, and J. Bibette 2008 Phys. Rev. Lett. 100, 024501. [2] Y. Yoon, F. Baldessari, H. Ceniceros, and L.G. Leal 2007 Phys. Fluids 19, 102102. Howard Stone Harvard University Date submitted: 02 Aug 2008 Electronic form version 1.4 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://absimage.aps.org/image/DFD08/MWS_DFD08-2008-000667.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
