A boundary-integral model for drop deformation between two parallel plates with non-unit viscosity ratio drops
✍ Scribed by P.J.A. Janssen; P.D. Anderson
- Book ID
- 104021847
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 453 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
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 threedimensional 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.