In this
paper, we established a time-dependent model
that investigates the
migration behavior of a millimeter-scale
liquid droplet on a solid surface with temperature gradient. Both fluid mechanics and heat transfer are
incorporated in the model. The Navier-Stokes equation is employed both inside
and outside the droplet. Size variation is observed in the transient
simulation. Results show that the velocity of the migration is about 1.7 mm/s
under a temperature gradient of 30 K/mm. The model is consistent with results with
previous literatures.
References
[1]
Sefiane, K. (2010) On the Formation of Regular Patterns from Drying Droplets and Their Potential Use for Bio-Medical Applications. Journal of Bionic Engineering, 7, S82-S93. https://doi.org/10.1016/S1672-6529(09)60221-3
[2]
Vergauwe, N., Witters, D., Atalay, Y.T., Verbruggen, B., Vermeir, S., Ceyssens, F., Puers, R. and Lammertyn, J. (2011) Controlling Droplet Size Variability of a Digital Lab-On-A-Chip for Improved Bio-Assay Performance. Microfluidics and Nanofluidics, 11, 25-34. https://doi.org/10.1007/s10404-011-0769-6
[3]
Schwartz, J.A., Vykoukal, J.V. and Gascoyne P.R.C. (2004) Droplet-Based Chemistry on a Programmable Micro-Chip. Lab on a Chip, 4, 11-17. https://doi.org/10.1039/b310285h
[4]
Kim, B., Kim, J. and Bard, A.J. (2015) Electrochemistry of a Single Attoliter Emulsion Droplet in Collisions. Journal of the American Chemical Society, 137, 2343-2349. https://doi.org/10.1021/ja512065n
[5]
Farouk, T.I., Liu, Y.C., Savas, A.J., Avedisian, C.T. and Dryer, F.L. (2013) Sub-Millimeter Sized Methyl Butanoate Droplet Combustion: Microgravity Experiments and Detailed Numerical Modeling. Proceedings of the Combustion Institute, 34, 1609-1616. https://doi.org/10.1016/j.proci.2012.07.074
Yoo, Y.J., Ju, S., Park, S.Y., Kim, Y.J., Bong, J., Lim, T., Kim, K.W., Rhee, J.Y. and Lee., Y.P. (2015) Metamaterial Absorber for Electromagnetic Waves in Periodic Water Droplets. Scientific Reports, 5, Article number: 14018. https://doi.org/10.1038/srep14018
[8]
Malouin Jr., B.A., Vogel, M.J. and Hirsa, A.H. (2010) Electromagnetic Control of Coupled Droplets. Applied Physics Letters, 96, Article number: 214104. https://doi.org/10.1063/1.3428787
[9]
White, F.M. (2015) Fluid Mechanics.
[10]
Schetz, J.A. and Fuhs, A.E. (1999) Fundamentals of Fluid Mechanics. John Wiley & Sons, New York.
[11]
Tseng, Y., Tseng, F., Chen, Y. and Chieng, C. (2004) Fundamental Studies on Micro-Droplet Movement by Marangoni and Capillary Effects. Sensors and Actuators A: Physical, 114, 292-301. https://doi.org/10.1016/j.sna.2003.12.007
