Abstract.
We advance a scheme in which a liquid body on a stationary tip in contact with a rotating superhydrophobic surface is able to maintain resonance primarily from stick-slip events. With tip-to-surface spacing in the range \(2.73 \le h < 2.45\) mm for a volume of 10 μL, the liquid body was found to exhibit resonance independent of the speed of the drum. The mechanics were found to be due to a surface-tension-controlled vibration mode based on the natural frequency values determined. With spacing in the range \(2.45 \le h < 2.15\) mm imposed for a volume of 10 μL, the contact length of the liquid body was found to vary with rotation of the SH drum. This was due to the stick-slip events being able to generate higher energy fluctuations causing the liquid-solid contact areas to vary since the almost oblate spheroid shape of the liquid body had intrinsically higher surface energies. This resulted in the natural frequency perturbations being frequency- and amplitude-modulated over a lower frequency carrier. These findings have positive implications for microfluidic sensing.
Graphical abstract
Similar content being viewed by others
References
C. Huh, L. Scriven, J. Colloid Interface Sci. 35, 85 (1971)
R. Budakian, K. Weninger, R.A. Hiller, S.J. Putterman, Nature 391, 266 (1998)
B. Vukasinovic, A. Glezer, M.K. Smith, Phys. Fluids 13, S14 (2001)
P. Brunet, J. Eggers, R.D. Deegan, Phys. Rev. Lett. 99, 144501 (2007)
S. Daniel, S. Sircar, J. Gliem, M.K. Chaudhury, Langmuir 20, 4085 (2004)
A. Hashmi, Y. Xu, B. Coder, P.A. Osborne, J. Spafford, G.E. Michael, G. Yu, J. Xu, Sci Rep. 2, 797 (2012)
C.Y. Lau, Z. Roslan, B.H.P. Cheong, W.S. Chua, O.W. Liew, T.W. Ng, J. Colloid Interface Sci. 426, 56 (2014)
F. Brochard-Wyart, P.-G. de Gennes, Eur. Phys. J. E 23, 439 (2007)
I.S. Fayzrakhmanova, A.V. Straube, Phys. Fluids 21, 072104 (2009)
E.D. Wilkes, O.A. Basaran, J. Colloid Interface Sci. 242, 180 (2001)
C. Huh, S.G. Mason, J. Colloid Interface Sci. 60, 11 (1977)
M. Kanungo, S. Mettu, K.-Y. Law, S. Daniel, Langmuir 30, 7358 (2014)
H.-Y. Kim, Phys. Fluids 16, 474 (2004)
L. Dong, A. Chaudhury, M.K. Chaudhury, Eur. Phys. J. E 21, 231 (2006)
J.H. Moon, B.H. Kang, H.-Y. Kim, Phys. Fluids 18, 021702 (2006)
T.-Y. Chen, J.A. Tsamopoulos, R.J. Good, J. Colloid Interface Sci. 151, 49 (1992)
J.H. Saavedra, R.E. Rozas, P.G. Toledo, J. Colloid Interface Sci. 426, 145 (2014)
J.K.K. Lye, T.W. Ng, W.Y.L. Ling, J. Appl. Phys. 110, 104509 (2011)
N. Ichikawa, M. Kawaji, M. Misawa, G. Psofogiannakis, J. Jpn. Soc. Micrograv. Appl. 20, 292 (2003)
T.W. Ng, Y. Panduputra, Langmuir 28, 453 (2012)
E.S. Leibner, N. Barnthip, W. Chen, C.R. Baumrucker, J.V. Badding, M. Pishko, E.A. Vogler, Acta Biomater. 5, 1389 (2009)
T. Vuong, B.H.P. Cheong, J.K.K. Lye, O.W. Liew, T.W. Ng, Anal. Biochem. 430, 53 (2012)
H.K. Lee, Y.H. Lee, Q. Zhang, I.Y. Phang, J.M.R. Tan, Y. Cui, X.Y. Ling, ACS Appl. Mater. Interfaces 5, 11409 (2013)
I.A. Larmour, S.E.J. Bell, G.C. Saunders, Angew. Chem. Int. Ed. Engl. 119, 1740 (2007)
G.J. Elfring, E. Lauga, Phys. Fluids 24, 072102 (2012)
B.J. Matkowsky, Z. Schuss, SIAM J. Appl. Math. 33, 365 (1977)
O.V. Borisenko, Ukrainian Math. J. 44, 1511 (1992)
J.M.T. Thompson, Nature 296, 135 (1982)
M.K. Chaudhury, P.S. Goohpattader, Eur. Phys. J. E 36, 9829 (2013)
B.R. Johnson, J. Opt. Soc. Am. A 10, 343 (1993)
H.B. Lin, A.L. Huston, B.L. Justus, A.J. Campillo, Opt. Lett. 11, 614 (1986)
S. Avino, A. Krause, R. Zullo, A. Giorgini, P. Malara, P. De Natale, H.P. Loock, G. Gagliardi, Adv. Opt. Mater. 2, 1155 (2014)
A. Krishnan, J. Sturgeon, C.A. Siedlecki, E.A. Vogler, J. Biomed. Mater. Res. A 68, 544 (2004)
Y. Gaponenko, A. Mialdun, V. Shevtsova, Eur. Phys. J. E 37, 90 (2014)
A.A. Ahmad Zahidi, B.H.-P. Cheong, S.H. Huynh, T. Vuong, O.W. Liew, T.W. Ng, Colloids Surf. A: Physiochem. Eng. Aspects 486, 21 (2015)
M.C. Salvadori, M.R.S. Oliveira, R. Spirin, F.S. Teixeira, M. Cattani, I.G. Brown, J. Appl. Phys. 114, 174911 (2013)
J.B. Boreyko, C.H. Chen, Phys. Rev. Lett. 103, 174502 (2009)
G. Liu, L. Fu, A.V. Rode, V. Craig, Langmuir 27, 2595 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chong, M., Cheng, M., Katariya, M. et al. Liquid-body resonance while contacting a rotating superhydrophobic surface. Eur. Phys. J. E 38, 119 (2015). https://doi.org/10.1140/epje/i2015-15119-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2015-15119-y