Skip to Main content Skip to Navigation
Theses

Étude de la formation d'une structure de mousse par simulation directe de l'expansion de bulles dans une matrice liquide polymère

Abstract : In this contribution, a numerical tool is developed in order to simulate the inflation of a polymer foam. A sample of foam is considered as a set of gas bubbles growing in a polymer matrix. This growth is due to a difference of pressure. A velocity - pressure formulation is established over the liquid and the gaseous parts. The computation of the gas pressure, uniform in each bubble, requires to follow individually each bubble: our approach is multidomain. In an eulerian framework, each domain is represented by its characteristic function, which is solution of a transport equation. A space-time discontinuous Galerkin method has been developed to solve this kind of purely convective equations. The stability of this implicit method does not depend on the time step. Furthermore, the interface location is improved by a r-adaptation technique. Finally, in order to preserve the amount of liquid along the expansion, a global expansion motion is introduced: the computation volume grows with the foam. Using this methodology, the formation of a foam structure can be simulated: bubbles, occupying initially few percents of the whole volume, grow to occupy, finally, more than 80% of this volume. The liquid is then trapped between bubbles, creating polyhedric cells. This local approach is used to determinate evolution laws of the viscosity and growth rate of a foam sample, with respect to its structure. Using a micro-macro transition, these laws are employed to simulate the macroscopic expansion of a polymer foam.
Document type :
Theses
Complete list of metadatas

https://pastel.archives-ouvertes.fr/pastel-00001335
Contributor : Ecole Mines Paristech <>
Submitted on : Tuesday, July 26, 2005 - 8:00:00 AM
Last modification on : Thursday, September 24, 2020 - 5:22:54 PM
Long-term archiving on: : Thursday, September 30, 2010 - 6:46:43 PM

Identifiers

  • HAL Id : pastel-00001335, version 1

Citation

Julien Bruchon. Étude de la formation d'une structure de mousse par simulation directe de l'expansion de bulles dans une matrice liquide polymère. Sciences de l'ingénieur [physics]. École Nationale Supérieure des Mines de Paris, 2004. Français. ⟨NNT : 2004ENMP1179⟩. ⟨pastel-00001335⟩

Share

Metrics

Record views

1297

Files downloads

11172