Name
Title | ||
|---|---|---|
A boundary-integral model for drop deformation between two parallel plates with non-unit viscosity ratio drops |
Abstract | ||
|---|---|---|
A boundary-integral method is presented for drop deformation between two parallel walls for non-unit viscosity ratio systems. To account for the effect of the walls the Green's functions are modified and all terms for the double-layer potential are derived. The full three-dimensional implementation is validated, and the model is shown to be accurate and consistent. The method is applied to study drop deformation in shear flow. An excellent match with small-deformation theory is found at low capillary numbers, and our results match with other BIM simulations for pressure-driven flows. For shear flow with moderate capillary numbers, we see that the behavior of a low-viscosity drop is similar to that of drop with a viscosity ratio of unity. High-viscosity drops, on the other hand, are prevented from rotating in shear flow, which results in a larger deformation, but less overshoot in the drop axes is observed. In contrast with unconfined flow, high-viscosity drops can be broken in shear flow between parallel plates; for low-viscosity drops the critical capillary number is higher in confined situations. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.jcp.2008.06.027 | J. Comput. Physics |
Keywords | Field | DocType |
viscous drops,high-viscosity drop,boundary-integral method,unconfined flow,larger deformation,drop deformation,critical capillary number,pressure-driven flow,non-unit viscosity ratio drop,shear flow,boundary-integral model,confinements,parallel plate,drop axis,low capillary number,low-viscosity drop,three dimensional,double layer potential,deformation theory | Green's function,Pressure drop,Flow (psychology),Capillary action,Viscosity,Deformation (mechanics),Geometry,Shear flow,Capillary number,Mathematics | Journal |
Volume | Issue | ISSN |
227 | 20 | Journal of Computational Physics |
Citations | PageRank | References |
1 | 0.37 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| P. J. A. Janssen | 1 | 1 | 0.37 |
| Patrick D. Anderson | 2 | 20 | 6.99 |