# Foam Microrheology

## Abstract

The microrheology of liquid foams is discussed for two different regimes: static equilibrium where the capillary number Ca is zero, and the viscous regime where viscosity and surface tension are important and Ca is finite. The Surface Evolver is used to calculate the equilibrium structure of wet Kelvin foams and dry soap froths with random structure, i.e., topological disorder. The distributions of polyhedra and faces are compared with the experimental data of Matzke. Simple shearing flow of a random foam under quasistatic conditions is also described. Viscous phenomena are explored in the context of uniform expansion of 2D and 3D foams at low Reynolds number. Boundary integral methods are used to calculate the influence of Ca on the evolution of foam microstructure, which includes bubble shape and the distribution of liquid between films, Plateau borders, and (in 3D) the nodes where Plateau borders meet. The micromechanical point of view guides the development of structure-property-processing relationships for foams.

- Authors:

- Publication Date:

- Research Org.:
- Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 13991

- Report Number(s):
- SAND99-2320C

TRN: AH200135%%530

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Conference

- Resource Relation:
- Conference: 15th Annual Meeting of the Polymer Processing Society (PPS)'s, Hertogenbosch (NL), 05/31/1999--06/04/1999; Other Information: PBD: 1 Sep 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; 32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; BUBBLES; MICROSTRUCTURE; POLYMERS; REYNOLDS NUMBER; SOAPS; SURFACE TENSION; VISCOSITY; FOAMS; RHEOLOGY

### Citation Formats

```
KRAYNIK,ANDREW M., LOEWENBERG,MICHAEL, and REINELT,DOUGLAS A.
```*Foam Microrheology*. United States: N. p., 1999.
Web.

```
KRAYNIK,ANDREW M., LOEWENBERG,MICHAEL, & REINELT,DOUGLAS A.
```*Foam Microrheology*. United States.

```
KRAYNIK,ANDREW M., LOEWENBERG,MICHAEL, and REINELT,DOUGLAS A. Wed .
"Foam Microrheology". United States. https://www.osti.gov/servlets/purl/13991.
```

```
@article{osti_13991,
```

title = {Foam Microrheology},

author = {KRAYNIK,ANDREW M. and LOEWENBERG,MICHAEL and REINELT,DOUGLAS A.},

abstractNote = {The microrheology of liquid foams is discussed for two different regimes: static equilibrium where the capillary number Ca is zero, and the viscous regime where viscosity and surface tension are important and Ca is finite. The Surface Evolver is used to calculate the equilibrium structure of wet Kelvin foams and dry soap froths with random structure, i.e., topological disorder. The distributions of polyhedra and faces are compared with the experimental data of Matzke. Simple shearing flow of a random foam under quasistatic conditions is also described. Viscous phenomena are explored in the context of uniform expansion of 2D and 3D foams at low Reynolds number. Boundary integral methods are used to calculate the influence of Ca on the evolution of foam microstructure, which includes bubble shape and the distribution of liquid between films, Plateau borders, and (in 3D) the nodes where Plateau borders meet. The micromechanical point of view guides the development of structure-property-processing relationships for foams.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1999},

month = {9}

}