caa a22 4500 477077358 CHVBK 20180405111441.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00118827 doi (NATIONALLICENCE)springer-10.1007/BF00118827 Axisymmetric non-Newtonian drops treated with a boundary integral method [Elektronische Daten] [E. Toose, D. Van Den Ende, B. Geurts, J. Kuerten, P. Zandbergen] A boundary integral method for the simulation of the time-dependent deformation of axisymmetric Newtonian or non-Newtonian drops suspended in a Newtonian fluid subjected to an axisymmetric flow field is developed. The boundary integral formulation for Stokes flow is used and the non-Newtonian stress is treated as a source term which yields an extra integral over the domain of the drop. By transforming the integral representation for the velocity to cylindrical coordinates we can reduce the dimension of the computational problem. The integral equation for the velocity remains of the same form as in Cartesian coordinates, and the Green's functions are transformed explicitly to cylindrical coordinates. Besides a numerical validation of the method we present simulation results for a Newtonian drop and a drop consisting of an Oldroyd-B fluid. The results for the Newtonian drop are consistent with results from the literature. The deformation process of the non-Newtonian drop for small capillary numbers appears to be governed by two relaxation times. Kluwer Academic Publishers, 1996 Toose E. Rheology Group, Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut Van Den Ende D. Rheology Group, Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut Geurts B. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut Kuerten J. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut Zandbergen P. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 131-150 0022-0833 30:1-2<131 1996 30 10665 https://doi.org/10.1007/BF00118827 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00118827 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Toose E. Rheology Group, Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 700 1- Van Den Ende D. Rheology Group, Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 700 1- Geurts B. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 700 1- Kuerten J. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 700 1- Zandbergen P. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 131-150 0022-0833 30:1-2<131 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer