GRAVITATIONAL-INSTABILITY OF 2 MISCIBLE FLUIDS

被引:0
作者
AUTHELIN, JR
BROCHARD, F
DEGENNES, PG
机构
[1] INST CURIE,F-75005 PARIS,FRANCE
[2] COLL FRANCE,F-75231 PARIS 5,FRANCE
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II | 1993年 / 317卷 / 12期
关键词
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
When a heavy fluid P is placed (at time t = 0) above a light fluid L, a diffuse interface is formed of width Delta = (Dt)1/2, where D is a mutual diffusion coefficient There is no interfacial tension P/L. The interface is mechanically unstable for all wave vectors q < Delta(-1), with a growth time tau(q). For inviscid fluids, the dominant instability shows up when tau(q congruent to Delta(-1)) = t. This fixes a characteristic size Delta(1) for the primary droplets of the mixing process (similar to 1 mu m). But, when viscosity is allowed, the dominant instability shows up at a larger scale q*(-1) (similar to 100 mu m), analysed long ago by S. Chandrasekhar, and independent of Delta(1).
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页码:1539 / 1541
页数:3
相关论文
共 4 条
[1]  
Chandrasekhar S., 1961, HYDRODYNAMIC HYDROMA
[2]  
COUVREUR P, 1990, INT J PHARM, V62, P1
[3]  
LANDAU LD, 1959, FLUID MECHANICS, pCH8
[4]  
NITTMAN J, NATURE, V314, P141