The drag on needles moving in a Langmuir monolayer

Journal of Fluid Mechanics

Volumn 498, Issue , 2004, Pages 123-137

  Fischer, Th M ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; LANGMUIR BLODGETT FILMS; MONOLAYERS; PROBLEM SOLVING; VISCOSITY;

MEMBRANE-BOUND OBJECTS;

DRAG;

DRAG; FLUID MECHANICS; HYDRODYNAMICS; LIQUID FILM; MATHEMATICAL ANALYSIS;

EID: 1242299761     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003006608     Document Type: Article

References (26)

1. BARENTIN, C., YBERT, C., DIMEGLIO, J. M. & JOANNY, J. F. 1999 Surface shear viscosity of Gibbs and Langmuir monolayers. J. Fluid Mech. 397, 331-349.
2. BROOKS, C. F., FULLER, G. G., FRANK, C. W. & ROBERTSON, C. R. 1999 An interfacial stress rheometer to study rheological transitions in monolayers at the air-water interface. Langmuir 15, 2450-2459.
3. DING, J. Q., WARRINER, H. E., ZASADZINSKI, J. A. & SCHWARTZ, D. K. 2002 Magnetic needle viscometer for Langmuir monolayers. Langmuir 18, 2800-2806.
4. DING, J. Q., WARRINER, H. E. & ZASADZINSKI, J. A. 2002 Viscosity of two-dimensional suspensions. Phys. Rev. Lett. 88, 168102.
5. FOURT, L. & HARKINS, W. D. 1938 Surface Viscosity of long-chain alcohol monolayers. J. Phys. Chem. 42, 897-910.
6. GHASKADVI, R. S., KETTERSON, J. B., MACDONALD, R. C. & DUTTA, P. 1997 Apparatus to measure the shear modulus of Langmuir monolayers as functions of strain amplitude and frequency. Rev. Sci. Instrum. 68, 1792-1795.
7. GOODRICH, F. C. & CHATTERJEE, A. K. 1970 Theory of absolute surface shear viscosity 2. Rotating disk problem. J. Colloid Interface Sci. 34, 36.
8. GOODRICH, F. C., ALLEN, L. H. & POSKANZER, A. 1975 New surface viscometer of high sensitivity 1. Theory. J. Colloid Interface Sci. 52, 201-212.
9. GRADSHTEYN, I. S. & RYZHIK, I. M. 1981 Tables of Series, Products, and Integrals. Harri Deutsch, Thun, Frankfurt/M.
10. HAPPEL, J. & BRENNER, H. 1983 Low Reynolds Number Hydrodynamics. Martinus Nijhoff.
11. HARKINS, W. D. & MYERS, R. J. 1937 Viscosity of monomolecular films. Nature 140, 465.
12. HUGHES, B. D., PAILTHORPE, B. A. & WHITE, L. R. 1981 The translational and rotational drag on a cylinder moving in a membrane. J. Fluid Mech. 110, 349-372.
13. JARVIS, N. L. 1965 Surface viscosity of monomolecular films of long-chain aliphatic amides, amines, alcohols, and carboxylic acids. J. Phys. Chem. 69, 1789-1797.
14. KLINGLER, J. F. & McCONNELL, H. 1993 Brownian-motion and fluid-mechanis of lipid monolayer domains. J. Phys. Chem. 97, 6096-6100.
15. LANGMUIR, I. & SCHAEFER, V. J. 1937 The effect of dissolved salts on insoluble monolayers. J. Am. Chem. Soc. 59, 2400-2414.
16. LEVINE, A. J., LIVERPOOL, T. B. & MACKINTOSH, F. C. 2003 On the mobility of extended bodies in viscous films and membranes. Preprint (Los Alamos server, cond-mat 0303095).
17. LIFSHUTZ, N., HEGDE, M. G. & SLATTERY, J. C. 1971 knife-edge surface viscometers. J. Colloid Interface Sci. 37, 73-79.
18. MANNHEIMER, R. J. & SCHECHTER, R. S. 1970 An improved apparatus and analysis fro surface rheological measurements. J. Colloid Interface Sci. 32, 195-211.
19. OH, S. G. & SLATTERY, J. C. 1978 Disk and binocal interfacial viscometers. J. Colloid Interface Sci. 67, 516-525.
20. SAFFMAN, P. G. & DELBRÜCK, M. 1975 Brownian-motion in biological-membranes. Proc. Natl Acad. Sci. USA 72, 3111-3113.
21. SCHWARTZ, D., KNOBLER, C. M. & BRUINSMA, R. 1994 Direct observation of Langmuir monolayer flow-through a channel. Phys. Rev. Lett. 73, 2841-2844.
22. SHAHIN, G. T. JR 1986 The stress deformation interfacial rheometer. Dissertation, University of Pennsylvania.
23. STEFFEN, P., HEINIG, P., WURLITZER, S., KHATTARI, Z. & FISCHER, TH. M. 2001 The translational and rotational drag on Langmuir monolayer domains. J. Chem. Phys. 115, 994-997.
24. STONE, H. A. & AJDARI, A. 1998 Hydrodynamics of particles embedded in a flat surfactant layer overlying a subphase of finite depth. J. Fluid Mech. 369, 151-173.
25. TRENCH, W. F. 1964 An algorithm for the inversion of finite Toeplitz matrices. J. Soc. Indust. Appl. Maths 12, 515-522.
26. WURLITZER, S., SCHMIEDEL, H. & FISCHER, TH. M. 2002 Electrophoretic relaxation dynamics of domains in Langmuir monolayers. Langmuir 18, 4393-4400.