Two-dimensional velocity profiles and laminar boundary layers in flowing soap films

被引:68
作者
Rutgers, MA [1 ]
Wu, XI [1 ]
Bhagavatula, R [1 ]
Petersen, AA [1 ]
Goldburg, WI [1 ]
机构
[1] MOREHOUSE COLL,DEPT PHYS,ATLANTA,GA 30314
关键词
D O I
10.1063/1.869105
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this study we examine laminar velocity profiles of freely suspended flowing soap films. We introduce a new device which supports large uniform films for indefinite periods of time. The geometry of the flow is two-dimensional (2D), yet the measured velocity profiles depart from ideal 2D behavior. The main reason for this departure is that the soap film experiences an air drag force across its entire surface. Describing the air with Prandtl boundary layer theory, we predict the observed flow patterns with good accuracy. The downstream development of the profiles is self similar. Our models set an apparent upper limit on the film 2D viscosity of 5 . 10(-6) surface poise for dilute soap concentrations. This measurement implies that the surfactant layers on the film may not contribute measurably to the 2D viscosity. For higher soap and glycerol concentrations the opposite appears to be true. (C) 1996 American Institute of Physics.
引用
收藏
页码:2847 / 2854
页数:8
相关论文
共 15 条
[1]  
Batchelor GK, 2000, An Introduction to Fluid Dynamics
[2]   GREEN-FUNCTION METHOD FOR RANDOM FUSE NETWORK PROBLEMS [J].
BHAGAVATULA, R ;
CHEN, K ;
JAYAPRAKASH, C ;
XU, HJ .
PHYSICAL REVIEW E, 1994, 49 (06) :5001-5006
[3]   ON THE HYDRODYNAMICS OF SOAP FILMS [J].
COUDER, Y ;
CHOMAZ, JM ;
RABAUD, M .
PHYSICA D, 1989, 37 (1-3) :384-405
[4]  
COUDER Y, 1984, J PHYSIQUE LETT, V45, P353
[5]   STICK-SLIP TRANSITION AT POLYMER MELT/SOLID INTERFACES [J].
DRDA, PP ;
WANG, SQ .
PHYSICAL REVIEW LETTERS, 1995, 75 (14) :2698-2701
[6]   A LIQUID-FILM (SOAP FILM) TUNNEL TO STUDY TWO-DIMENSIONAL LAMINAR AND TURBULENT SHEAR FLOWS [J].
GHARIB, M ;
DERANGO, P .
PHYSICA D, 1989, 37 (1-3) :406-416
[7]  
KELLAY H, 1995, PHYS REV LETT, V74, P3875
[8]   Shear flow in a two-dimensional Couette cell: A technique for measuring the viscosity of free-standing liquid films [J].
Martin, B ;
Wu, XI .
REVIEW OF SCIENTIFIC INSTRUMENTS, 1995, 66 (12) :5603-5608
[9]   VELOCITY AND CURRENT MEASUREMENTS IN ELECTROCONVECTING SMECTIC FILMS [J].
MORRIS, SW ;
DEBRUYN, JR ;
MAY, AD .
PHYSICAL REVIEW A, 1991, 44 (12) :8146-8157
[10]  
MYSELS KJ, 1959, SOAP FILMS