A theory of exact solutions for plane viscous blobs

被引:22
作者
Crowdy, DG
Tanveer, S
机构
[1] CALTECH, Pasadena, CA 91125 USA
[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
基金
美国国家科学基金会;
关键词
Stokes flow; viscous drop; conservation laws; exact solutions;
D O I
10.1007/s003329900052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a new general theory of exact solutions for a simply connected, plane, slow viscous fluid blob with surface tension. The formulation reveals the existence of an infinite number of conserved quantities associated with the exact solutions. This new theoretical approach simplifies the calculation of concrete solutions.
引用
收藏
页码:261 / 279
页数:19
相关论文
共 12 条
[1]  
Antanovskii L. K., 1994, Meccanica, V29, P27, DOI 10.1007/BF00989523
[2]  
ANTANOVSKII LK, 1994, EUR J MECH B-FLUID, V13, P491
[3]  
CUMMINGS LJ, CONSERVED QUANTITIES
[4]  
Hopper R. W., 1985, J AM CERAM SOC, V67, pC262
[5]  
HOPPER RW, 1985, J AM CERAM SOC, V68, pC138
[6]   PLANE STOKES-FLOW DRIVEN BY CAPILLARITY ON A FREE-SURFACE [J].
HOPPER, RW .
JOURNAL OF FLUID MECHANICS, 1990, 213 :349-375
[7]  
HOWISON SD, 1995, EUR J APPL MATH, V6
[8]  
JEONG J, 1992, J FLUID MECH, V241
[9]  
RICHARDSON S, 1968, J FLUID MECH, V33
[10]  
Richardson S., 1992, Eur. J. Appl. Math, V3, P193