FLEXURAL RIGIDITY OF A LIQUID SURFACE

被引:38
|
作者
KELLER, JB
MERCHANT, GJ
机构
[1] STANFORD UNIV,DEPT MECH ENGN,STANFORD,CA 94305
[2] STANFORD UNIV,DEPT MATH,STANFORD,CA 94305
关键词
SURFACE TENSION; FLEXURAL RIGIDITY;
D O I
10.1007/BF01029998
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The energy of a mass of liquid is evaluated asymptotically in powers of the range of the intermolecular potential divided by a typical dimension of the liquid. The leading term is the internal energy, proportional to the liquid volume. The second term is the energy of surface tension, proportional to the area of the liquid surface. The third term is proportional to an integral over this surface of the square of the mean curvature of the surface minus one-third of its Gaussian curvature. This new term has exactly the form of the bending energy of a thin elastic plate. Comparing it with the bending energy yields expressions for the flexural rigidity and the Poisson ratio of the liquid surface. This flexural rigidity of the surface leads to new terms in the equation of equilibrium of the liquid surface, in addition to the usual surface tension terms.
引用
收藏
页码:1039 / 1051
页数:13
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