ON THE RADIAL SPREADING OF LIQUIDS IN THIN POROUS SUBSTRATES

被引:11
作者
BORHAN, A
RUNGTA, KK
机构
[1] Department of Chemical Engineering, The Pennsylvania State University, University Park
关键词
D O I
10.1016/0021-9797(92)90103-S
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Gillespie's model for the kinetics of radial spreading of a finite liquid reservoir in a thin porous substrate is corrected to properly account for the time dependence of the position of the advancing meniscus. A similarity solution for the liquid volume fraction within the substrate is obtained using power-law expressions for the dependence of the permeability and the capillary pressure on the liquid volume fraction. It is shown that the asymptotic rate of spreading at long times is independent of the initial conditions. © 1992.
引用
收藏
页码:295 / 297
页数:3
相关论文
共 12 条
[1]  
[Anonymous], 1958, J COLL SCI IMP U TOK, DOI 10.1016/0095-8522(58)90007-2
[2]  
Boltzmann L., 1894, ANN PHYS-BERLIN, V289, P959, DOI [DOI 10.1002/ANDP.18942891315, 10.1002/andp.18942891315]
[3]  
BRUCE R. R., 1956, Soil Science Society of America. Proceedings, V20, P458
[4]  
GARDNER W. R., 1958, SOIL SCI SOC AMER PROC, V22, P197
[5]  
KAWASE T, 1986, TEXT RES J, P617
[6]  
KAWASE T, 1986, TEXT RES J, P409
[7]   CAPILLARY SORPTION IN FIBROUS ASSEMBLIES [J].
KISSA, E .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1981, 83 (01) :265-272
[8]   A NUMERICAL METHOD FOR SOLVING THE FLOW EQUATION FOR WATER IN UNSATURATED MATERIALS [J].
KLUTE, A .
SOIL SCIENCE, 1952, 73 (02) :105-116
[9]   THE RADIAL CAPILLARY [J].
MARMUR, A .
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1988, 124 (01) :301-308
[10]  
OLIVER JF, 1982, ACS SYM SER, V200, P435