A foam drainage equation generalized for all liquid contents

被引:96
作者
Neethling, SJ [1 ]
Lee, HT [1 ]
Cilliers, JJ [1 ]
机构
[1] Univ Manchester, Dept Chem Engn, Froth & Foam Res Grp, Manchester M60 1QD, Lancs, England
关键词
D O I
10.1088/0953-8984/14/3/304
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 [凝聚态物理];
摘要
Recently the study of liquid drainage through foams has generated considerable experimental and theoretical research. This research has usually made the assumptions that the liquid content is very low and that the viscous resistance is limited to occurring within either the Plateau borders or vertices. This paper presents a foam drainage model that not only describes the low-liquid-content extreme, but also takes account of liquid content effects. These include the increase in the foam volume with increasing liquid content and the increase in the liquid flowrate in the Plateau borders over the average flowrate brought about by the presence of vertices. The relative importance of the Plateau borders and vertices to viscous loss within the foam is also made dependent on the liquid content of the foam. This model is verified experimentally for two surfactant types and various bubble sizes using a standard forced drainage system.
引用
收藏
页码:331 / 342
页数:12
相关论文
共 13 条
[1]
Liquid flow through aqueous foams: From the plateau border-dominated regime to the node-dominated regime [J].
Durand, M ;
Martinoty, G ;
Langevin, D .
PHYSICAL REVIEW E, 1999, 60 (06) :R6307-R6308
[2]
Gol'dfarb I. I., 1988, Fluid Dynamics, V23, P244, DOI 10.1007/BF01051894
[3]
Drainage waves structure in gas-liquid foam [J].
Goldshtein, V ;
Goldfarb, I ;
Shreiber, I .
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, 1996, 22 (05) :991-1003
[4]
A generalized view of foam drainage: Experiment and theory [J].
Koehler, SA ;
Hilgenfeldt, S ;
Stone, HA .
LANGMUIR, 2000, 16 (15) :6327-6341
[5]
Liquid flow through aqueous foams: The node-dominated foam drainage equation [J].
Koehler, SA ;
Hilgenfeldt, S ;
Stone, HA .
PHYSICAL REVIEW LETTERS, 1999, 82 (21) :4232-4235
[6]
A STUDY OF INTERSTITIAL LIQUID FLOW IN FOAM .I. THEORETICAL MODEL AND APPLICATION TO FOAM FRACTIONATION [J].
LEONARD, RA ;
LEMLICH, R .
AICHE JOURNAL, 1965, 11 (01) :18-&
[7]
Mukerjee P., 1971, NATL STANDARD REFERE
[8]
The conductivity of a foam [J].
Phelan, R ;
Weaire, D ;
Peters, EAJF ;
Verbist, G .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (34) :L475-L482
[9]
*U MINN, SURF EV
[10]
The foam drainage equation [J].
Verbist, G ;
Weaire, D ;
Kraynik, AM .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1996, 8 (21) :3715-3731