Result: Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations

Title:
Development and implementation of VOF-PROST for 3D viscoelastic liquid-liquid simulations
Source:
The XIVth International Workshop on Numerical Methods for Non-Newtonian Flows, Santa Fe, 2005Journal of non-newtonian fluid mechanics. 140(1-3):120-131
Publisher Information:
Amsterdam: Elsevier, 2006.
Publication Year:
2006
Physical Description:
print, 44 ref
Original Material:
INIST-CNRS
Time:
4711, 4750
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Biomedical Engineering, 136 Hudson Hall, Box 90281, Duke University, Durham, NC 27708, United States
Department of Mathematics and ICAM, 460 McBryde Hall, Virginia Tech, Blacksburg, VA 24061-0123, United States
ISSN:
0377-0257
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.18430964
Database:
PASCAL Archive

Further Information

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.