The relationship between the surface and internal structure of dry foam

This paper explores the relationship between the surface and underlying structure of dry foams by means of simulation. This is used as the basis for statistically predicting the surface bubble size distribution based on the measurement of the surface film size distribution. The reason for carrying out this study is because most foam systems are opaque or semi-opaque making the direct measurement of the internal structure difficult. Researchers and engineers typically used the size distribution of the films observed at the foam surface as a proxy for the bubble size distribution. By simulating realistic foam structures with free surfaces, the statistical properties of these surfaces were obtained and analysed. It is shown that for a given surface bubble size there is a distribution of possible surface film sizes. The distribution of the ratio of the film size to the bubble size is found to be independent of the underlying bubble size distribution for the range of poly-dispersities studied in this paper. This distribution for the ratio of film to bubble size allows the size distribution for the surface bubbles to be predicted using the distribution of film sizes visible at the foam surface.

[1]  K. Kose 3D NMR Imaging of Foam Structures , 1996 .

[2]  Stephen J. Neethling,et al.  Simulating realistic froth surfaces , 2006 .

[3]  E. B. Matzke,et al.  The three-dimensional shape of bubbles in foam; an analysis of the role of surface forces in three-dimensional cell shape determination. , 1946, American journal of botany.

[4]  D. W. Scott On optimal and data based histograms , 1979 .

[5]  J. M. Haile,et al.  Molecular dynamics simulation : elementary methods / J.M. Haile , 1992 .

[6]  P. Gennes The Physics Of Foams , 1999 .

[7]  Kenneth A. Brakke,et al.  The Surface Evolver and the stability of liquid surfaces , 1996, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[8]  Douglas J. Durian,et al.  Bubble-scale model of foam mechanics:mMelting, nonlinear behavior, and avalanches , 1997 .

[9]  Andrew M. Kraynik,et al.  The Structure of Random Foam , 2006 .

[10]  A. Prins,et al.  Bubble-size distributions in foams , 1992 .

[11]  H. C. Cheng,et al.  Errors in the measurement of bubble size distribution in foam , 1983 .

[12]  M. Vignes-Adler,et al.  Optical Tomography of Real Three-Dimensional Foams , 1998 .

[13]  James A. Glazier,et al.  Extraction of relevant physical parameters from 3D images of foams obtained by X-ray tomography , 2005 .

[14]  D. C. Rapaport,et al.  The Art of Molecular Dynamics Simulation , 1997 .

[15]  D. Reinelt,et al.  Structure of random monodisperse foam. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.