%0 Journal Article %1 citeulike:8426292 %A Khismatullin, D. %A Renardy, Y. %A Renardy, M. %D 2006 %J Journal of Non-Newtonian Fluid Mechanics %K vof 76t10-liquid-gas-two-phase-flows-bubbly-flows 76d07-stokes-and-related-oseen-etc-flows %N 1-3 %P 120--131 %R 10.1016/j.jnnfm.2006.02.013 %T Development and Implementation of VOF-PROST for 3D Viscoelastic Liquid–Liquid Simulations %U http://dx.doi.org/10.1016/j.jnnfm.2006.02.013 %V 140 %X We implement a volume-of-fluid algorithm with a parabolic re-construction of the interface for the calculation of the surface tension force (VOF-PROST). This achieves higher accuracy for drop deformation simulations in comparison with existing VOF methods based on a piecewise linear interface re-construction. The algorithm is formulated for the Giesekus constitutive law. The evolution of a drop suspended in a second liquid and undergoing simple shear is simulated. Numerical results are first checked against two cases in the literature: the small deformation theory for second-order liquids, and an Oldroyd-B extensional flow simulation. We then address the experimental data of Guido et al. (2003) for a Newtonian drop in a viscoelastic matrix liquid. The data deviate from existing theories as the capillary number increases, and reasons for this are explored here with the Oldroyd-B and Giesekus models.

@article{citeulike:8426292, abstract = {{We implement a volume-of-fluid algorithm with a parabolic re-construction of the interface for the calculation of the surface tension force (VOF-PROST). This achieves higher accuracy for drop deformation simulations in comparison with existing VOF methods based on a piecewise linear interface re-construction. The algorithm is formulated for the Giesekus constitutive law. The evolution of a drop suspended in a second liquid and undergoing simple shear is simulated. Numerical results are first checked against two cases in the literature: the small deformation theory for second-order liquids, and an Oldroyd-B extensional flow simulation. We then address the experimental data of Guido et al. (2003) for a Newtonian drop in a viscoelastic matrix liquid. The data deviate from existing theories as the capillary number increases, and reasons for this are explored here with the Oldroyd-B and Giesekus models.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Khismatullin, D. and Renardy, Y. and Renardy, M.}, biburl = {https://www.bibsonomy.org/bibtex/2bdffbbc4c38386170610b6f540605080/gdmcbain}, citeulike-article-id = {8426292}, citeulike-attachment-1 = {jnnfm2006.pdf; /pdf/user/gdmcbain/article/8426292/585045/jnnfm2006.pdf; 4b24520f077d60e23170c5c055a2f270ed026ae3}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jnnfm.2006.02.013}, day = 30, doi = {10.1016/j.jnnfm.2006.02.013}, file = {jnnfm2006.pdf}, interhash = {18b2c2a8a70cff46a9c6226feef9a60f}, intrahash = {bdffbbc4c38386170610b6f540605080}, issn = {03770257}, journal = {Journal of Non-Newtonian Fluid Mechanics}, keywords = {vof 76t10-liquid-gas-two-phase-flows-bubbly-flows 76d07-stokes-and-related-oseen-etc-flows}, month = dec, number = {1-3}, pages = {120--131}, posted-at = {2010-12-15 01:41:13}, priority = {2}, timestamp = {2019-02-28T23:44:48.000+0100}, title = {Development and Implementation of {VOF}-{PROST} for {3D} Viscoelastic Liquid–Liquid Simulations}, url = {http://dx.doi.org/10.1016/j.jnnfm.2006.02.013}, volume = 140, year = 2006 }