SPECIAL TOPIC—Non-equilibrium phenomena in soft matters |
Prev
Next
|
|
|
Measurement of the friction coefficient of a fluctuating contact line using an AFM-based dual-mode mechanical resonator |
Guo Shuo (郭硕)a, Xiong Xiao-Min (熊小敏)b, Xu Zu-Li (徐祖力)a, Shen Ping (沈平)a, Tong Penger (童彭尔)a |
a Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China; b Department of Physics and State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-sen University, Guangzhou 510275, China |
|
|
Abstract A dual-mode mechanical resonator using an atomic force microscope (AFM) as a force sensor is developed. The resonator consists of a long vertical glass fiber with one end glued onto a rectangular cantilever beam and the other end immersed through a liquid-air interface. By measuring the resonant spectrum of the modified AFM cantilever, one is able to accurately determine the longitudinal friction coefficient ζv along the fiber axis associated with the vertical oscillation of the hanging fiber and the traversal friction coefficient ζh perpendicular to the fiber axis associated with the horizontal swing of the fiber around its joint with the cantilever. The technique is tested by measurement of the friction coefficient of a fluctuating (and slipping) contact line between the glass fiber and the liquid interface. The experiment verifies the theory and demonstrates its applications. The dual-mode mechanical resonator provides a powerful tool for the study of the contact line dynamics and the rheological property of anisotropic fluids.
|
Received: 30 January 2014
Revised: 17 September 2014
Accepted manuscript online:
|
PACS:
|
68.05.-n
|
(Liquid-liquid interfaces)
|
|
07.79.-v
|
(Scanning probe microscopes and components)
|
|
83.10.Mj
|
(Molecular dynamics, Brownian dynamics)
|
|
83.85.Vb
|
(Small amplitude oscillatory shear (dynamic mechanical analysis))
|
|
Fund: Project supported by the Research Grants Council of Hong Kong, China (Grant Nos. 605013, 604211, and SRFI11/SC02) and the National Natural Science Foundation of China (Grand Nos. 10974259 and 11274391). |
Corresponding Authors:
Tong Penger
E-mail: penger@ust.hk
|
Cite this article:
Guo Shuo (郭硕), Xiong Xiao-Min (熊小敏), Xu Zu-Li (徐祖力), Shen Ping (沈平), Tong Penger (童彭尔) Measurement of the friction coefficient of a fluctuating contact line using an AFM-based dual-mode mechanical resonator 2014 Chin. Phys. B 23 116802
|
[1] |
Horber J K and Miles M J 2003 Science 302 1002
|
[2] |
Yum K, Wang N and Yu M F 2010 Nanoscale 2 363
|
[3] |
Roters A, Gelbert M, Schimmel M, Rühe J and Johannsmann D 1997 Phys. Rev. E 56 3256
|
[4] |
Roters A, Schimmel M, Rühe J and Johannsmann D 1998 Langmuir 14 3999
|
[5] |
Delmas M, Monthioux M and Ondarcuhu T 2011 Phys. Rev. Lett. 106 136102
|
[6] |
Rajagopalan R 2000 Colloids and Surfaces A 174 253
|
[7] |
Chen G Y, Warmack R J, Thundat T, Allison D P and Huang A 1994 Rev. Sci. Instrum. 65 2532
|
[8] |
Sader J E 1998 J. Applied Phys. 84 64
|
[9] |
Clarke R J, Jensen O E, Billingham J, Pearson A P and Williams P M 2006 Phys. Rev. Lett. 96 050801
|
[10] |
Paul M R and Cross M C 2004 Phys. Rev. Lett. 92 235501
|
[11] |
Paul M R, Clark M T and Cross M C 2006 Nanotechnology 17 4502
|
[12] |
Ma H L, Jimenez J and Rajagopalan R 2000 Langmuir 16 2254
|
[13] |
Mehta A, Cherian S, Hedden D and Thundata T 2001 Appl. Phys. Lett. 78 1637
|
[14] |
Xiong X, Guo S, Xu Z, Sheng P and Tong P 2009 Phys. Rev. E 80 061604
|
[15] |
Slaughter W S 2002 The Linearized Theory of Elasticity (Boston: Birkhauser)
|
[16] |
Butt H J and Jaschke M 1995 Nanotechnology 6 1
|
[17] |
Reif F 1985 Fundamentals of Statistical and Thermal Physics (Auckland: McGraw-Hill)
|
[18] |
Leal L G 2007 Advanced Transport Phenomena (Cambridge: Cambridge University Press) p. 557
|
[19] |
Landau L D and Lifshitz E M 1987 Fluid Mechanics (2nd edn.) (Oxford: Butterworth-Heinemann)
|
[20] |
de Gennes P G, Brochard-Wyart F and Quéré D 2004 Capillarity and Wetting Phenomena (New York: Springer) p. 142
|
[21] |
Koplik J, Banavar J R andWillemsen J F 1988 Phys. Rev. Lett. 60 1282
|
[22] |
Thompson P A and Robbins M O 1989 Phys. Rev. Lett. 63 766
|
[23] |
Qian T Z, Wang X P and Sheng P 2004 Phys. Rev. Lett. 93 094501
|
[24] |
Qian T Z, Wang X P and Sheng P 2006 J. Fluid Mech. 564 333
|
[25] |
Guo S, Gao M, Xiong X M, Wang Y J, Wang X P, Sheng P and Tong P 2013 Phys. Rev. Lett. 111 026101
|
[26] |
Guo S, Gao M, Xiong X M, Wang Y J, Wang X P, Sheng P and Tong P 2013 Phys. Rev. Lett. 111 026101 (supplemental material)
|
[27] |
Williams W E 1966 J. Fluid Mech. 25 589
|
[28] |
Zhang W and Stone H A 1998 J. Fluid Mech. 367 329
|
[29] |
Loewenberg M 1993 Phys. Fluids A 5 3004
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|