caa a22 4500 477077471 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00118825 doi (NATIONALLICENCE)springer-10.1007/BF00118825 Van De Vorst G. Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut Integral formulation to simulate the viscous sintering of a two-dimensional lattice of periodic unit cells [Elektronische Daten] [G. Van De Vorst] In this paper a mathematical formulation is presented which is used to calculate the flow field of a two-dimensional Stokes fluid that is represented by a lattice of unit cells with pores inside. The formulation is described in terms of an integral equation based on Lorentz's formulation, whereby the fundamental solution is used that represents the flow due to a periodic lattice of point forces. The derived integral equation is applied to model the viscous sintering phenomenon, viz. the process that occurs (for example) during the densification of a porous glass heated to such a high temperature that it becomes a viscous fluid. The numerical simulation is carried out by solving the governing Stokes flow equations for a fixed domain through a Boundary Element Method (BEM). The resulting velocity field then determines an approximate geometry at a next time point which is obtained by an implicit integration method. From this formulation quite a few theoretical insights can be obtained of the viscous sintering process with respect to both pore size and pore distribution of the porous glass. In particular, this model is able to examine the consequences of microstructure on the evolution of pore-size distribution, as will be demonstrated for several example problems. Kluwer Academic Publishers, 1996 Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 97-118 0022-0833 30:1-2<97 1996 30 10665 https://doi.org/10.1007/BF00118825 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00118825 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Van De Vorst G. Department of Mathematics and Computing Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 97-118 0022-0833 30:1-2<97 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer