A model system for foam fractionation

A model system for theory and experiment that is relevant to foam fractionation consists of a column of foam moving through an inverted U-tube between two pools of surfactant solution. The foam drainage equation and its variants are used for a theoretical analysis of this process. In the limit in which the lengths of the two legs is large , exact analytic formulae may be derived for the key properties of the system. Numerical computations and experiments support these results.

[1]  Howard A. Stone,et al.  Liquid Flow through Aqueous Foams: The Node-Dominated Foam Drainage Equation , 1999 .

[2]  Andrew J. Sederman,et al.  Quantitative NMRI studies of transient washwater addition to rising foam , 2009 .

[3]  S. J. Cox,et al.  Applications and generalizations of the foam drainage equation , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[4]  D. Langevin,et al.  Liquid flow through aqueous foams: from the plateau border-dominated regime to the node-dominated regime. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  Stephen J. Neethling,et al.  The recovery of liquid from flowing foams , 2003 .

[6]  Peter J. Martin,et al.  Foam fractionation with reflux , 2010 .

[7]  G. Petit Bois,et al.  Tables of indefinite integrals , 2011 .

[8]  Matts Roos,et al.  MINUIT-a system for function minimization and analysis of the parameter errors and correlations , 1984 .

[9]  Time evolution of aqueous foams: drainage and coarsening , 2002 .

[10]  P. Stevenson,et al.  14. Foam Fractionation , 2012 .

[11]  Denis Weaire,et al.  The foam drainage equation , 1996 .

[12]  I. R. Shreiber,et al.  Liquid flow in foams , 1988 .

[13]  R. Lemlich,et al.  A study of interstitial liquid flow in foam part III. Test of theory , 1967 .

[14]  P. Stevenson Foam engineering : fundamentals and applications , 2012 .

[15]  Denis Weaire,et al.  A Review of Foam Drainage , 2007 .

[16]  R. Darton,et al.  DEVELOPMENT OF A MULTISTAGED FOAM FRACTIONATION COLUMN , 2004 .

[17]  Paul Stevenson,et al.  Hydrodynamic theory of rising foam , 2007 .

[18]  Robert Lemlich,et al.  A study of interstitial liquid flow in foam. Part I. Theoretical model and application to foam fractionation , 1965 .

[19]  Denis Weaire,et al.  Measurement of Foam Density Profiles Using AC capacitance , 1995 .

[20]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[21]  D. Weaire,et al.  Evaluation of a steady-state test of foam stability , 2011 .