Abstract
We focus on unique phenomena known as particle accumulation structure (PAS), especially on the conditions of the existence for second-type spiral loop PAS (SL-2 PAS) and on their formation processes under normal gravity. We investigate the existence conditions as functions the aspect ratio of the liquid bridge and the Marangoni number, the intensity of the thermocapillary effect. We discuss the differences among SL-1 PAS, SL-2 PAS and the flow field without PAS through observation of the solid-like structures of the PAS in a rotating frame of reference with the hydrothermal wave, and through monitoring of the surface temperature by infrared camera. We evaluate the formation time of PAS by employing a modified accumulation measure by considering the effect of the particles’ size.
Similar content being viewed by others
References
Abe, Y., Ueno, I., Kawamura, H.: Effect of shape of HZ liquid bridge on particle accumulation Structure (PAS). Microgravity Sci. Technol. 19, 84–86 (2007)
Gotoda, M., Sano, T., Kaneko, T., Ueno, I.: Evaluation of existence region and formation time of particle accumulation structure (PAS) in half-zone liquid bridge. Eur. Phys. J. Special Topics 224(2), 299–307 (2015)
Gotoda, M., Toyama, A., Ishimura, M., Sano, T., Suzuki, M., Kaneko, T., Ueno, I.: Experimental study on dynamics of finite-size particles in coherent structures induced by thermocapillary effect in deformable liquid bridge. Phys. Rev. Fluids (under review)
Hirata, A., Nishizawa, S., Sakurai, M.: Experimental results of oscillatory Marangoni convection in a liquid bridge under normal gravity. J. Jpn. Soc. Microgravity Apply 14, 122–129 (1997)
Hofmann, E., Kuhlmann, H.C.: Particle accumulation on periodic orbits by repeated free surface collisions. Phys. Fluids 23(7), 072106 (2011)
Kamotani, Y., Wang, L., Hatta, S., Wang, A., Yoda, S.: Free surface heat loss effect on oscillatory themocapillary flow in liquid bridges of high Prandtl number fluids. Int. J. Heat Mass Transf. 46(17), 3211–3220 (2003)
Kuhlmann, H.C., Mukin, R.E., Sano, T., Ueno, I.: Structure and dynamics of particle-accumulation in thermocapillary liquid bridges. Fluid Dyn. Res. 46, 041421 (2014)
Kuhlmann, H.C., Muldoon, F.H.: Particle-accumulation structures in periodic free-surface flows: inertia versus surface collisions. Phys. Rev. E 85, 046310 (2012)
Kuhlmann, H.C., Muldoon, F.H.: On the different manifestations of particle accumulation structures (PAS) in thermocapillary flows. Eur. Phys. J. Special Topics 219, 59–69 (2013)
Matsugase, T., Ueno, I., Nishino, K., Ohnishi, M., Sakurai, M., Matsumoto, S., Kawamura, H.: Transition to chaotic thermocapillary convection in a half zone liquid bridge. Int. J. Heat Mass Transf. 89, 903–912 (2015)
Melnikov, D.E., Pushkin, D.O., Shevtsova, V.M.: Synchronization of finite-size particles by a traveling wave in a cylindrical flow. Phys. Fluids 25, 092108 (2013)
Melnikov, D.E., Watanabe, T., Matsugase, T., Ueno, I., Shevtsova, V.: Experimental study on formation of particle accumulation structures by a thermocapillary flow in a deformable liquid column. Microgravity Sci. Technol. 26, 365–374 (2014)
Muehlner, K.A., Schatz, M.F., Petrov, V., McCormick, W.D., Swift, J.B., Swinney, H.L.: Observation of helical traveling-wave convection in a liquid bridge. Phys. Fluids 9, 1850–1852 (1997)
Mukin, R.V., Kuhlmann, H.C.: Topology of hydrothermal waves in liquid bridges and dissipative structures of transported particles. Phys. Rev. E 88, 053016 (2013)
Muldoon, F.H., Kuhlmann, H.C.: Coherent particulate structures by boundary interaction of small particles in confined periodic flows. Phys. D: Nonlinear Phenomena 253, 40–65 (2013)
Muldoon, F.H., Kuhlmann, H.C.: Different particle-accumulation structures arising from particle–boundary interactions in a liquid bridge. Int. J. Multiphase. Flow 59, 145–159 (2014)
Muldoon, F.H., Kuhlmann, H.C.: Origin of particle accumulation structures in liquid bridges: Particle–boundary-interactions versus inertia. Phys. Fluids 28, 073305 (2016)
Niigaki, Y., Ueno, I.: Formation of particle accumulation structure (PAS) in Half-Zone liquid bridge under an effect of Thermo-Fluid flow of ambient gas, transactions of the Japan soc. For aeronautical and space sci. Aerospace tech. Japan10 Ph33-Ph37 (2012)
Pushkin, D.O., Melnikov, D.E., Shevtsova, V.M.: Ordering of small particles in one-dimensional coherent structures by time-periodic flows. Phys. Rev. Lett. 106, 234501 (2011)
Sato, F., Ueno, I., Kawamura, H., Nishino, K., Matsumoto, S., Ohnishi, M., Sakurai, M.: Hydrothermal wave instability in a high-Aspect-Ratio Liquid Bridge of Pr 200. Microgravity Sci Technol. 25.1, 43–58 (2013)
Schwabe, D., Hintz, P., Frank, S.: New features of thermocapillary convection in floating zones revealed by tracer particle accumulation structures (PAS). Microgravity Sci. Technol. 9, 163–183 (1996)
Schwabe, D., Mizev, A.I., Udhayasankar, M., Tanaka, S.: Formation of dynamic particle accumulation structures in oscillatory thermocapillary flow in liquid bridges. Phys. Fluids 19(7), 072102 (2007)
Schwabe, D., Mizev, A., Tanaka, S., Kawamura, H.: Particle accumulation structures in time-dependent thermocapillary flow in a liquid bridge under microgravity. Microgravity Sci. Technol. 18(3-4), 117–127 (2006)
Tanaka, S., Kawamura, H., Ueno, I., Schwabe, D.: Flow structure and dynamic particle accumulation in thermocapillary convection in a liquid bridge. Phys. Fluids 18, 067103 (2006)
Ueno, I., Kawasaki, H., Watanabe, T., Motegi, K., Kaneko, T.: Hydrothermal-wave instability and resultant flow patterns induced by thermocapillary effect in a half-zone liquid bridge of high aspect ratio, 15th Int. Heat Transfer Conf. (IHTC15), paper #: IHTC15-9489 (12 pages), doi:10.1615/IHTC15.fcv.009489 (2014)
Ueno, I., Kawazoe, A., Enomoto, H.: Effect of ambient-gas forced flow on oscillatory thermocapillary convection of half-zone liquid bridge. Fluid Dynamics Materials Processing 6, 99–108 (2010)
Ueno, I., Tanaka, S., Kawamura, H.: Oscillatory and chaotic thermocapillary convection in a half-zone liquid bridge. Phys. Fluids 15(2), 408–416 (2003)
Wang, A., Kamotani, Y., Yoda, S.: Oscillatory thermocapillary flow in liquid bridges of high Prandtl number fluid with free surface heat gain. Int. J. Heat Mass Transf. 50(21–22), 4195–4205 (2007)
Wanschura, M, Shevtsova, V.M., Kuhlmann, H.C., Rath, H.J.: Convective instability mechanisms in thermocapillary liquid bridges. Phys. Fluids 7, 912–925 (1995)
Watanabe, T., Melnikov, D.E., Matsugase, T., Shevtsova, V.M., Ueno, I.: The stability of a thermocapillary-buoyant flow in a liquid bridge with heat transfer through the interface. Microgravity Sci. Technol. 26.1, 17–28 (2014)
Yano, T., Maruyama, K., Matsunaga, T., Nishino, K.: Effect of ambient gas flow on the instability of Marangoni convection in liquid bridges of various volume ratios. Int. J. Heat Mass Transf. 99, 182–191 (2016)
Acknowledgments
A part of this study was financially supported by the Japan Society for the Promotion of Science (JSPS) through a Grant-in-Aid for Scientific Research (B) (project number 24360078) and Grant-in-Aid for Scientific Research (C) (project number 15K05809)
Author information
Authors and Affiliations
Corresponding author
Additional information
This article belongs to the Topical Collection: Advances in Gravity-related Phenomena in Biological, Chemical and Physical Systems
Guest Editors: Valentina Shevtsova, Ruth Hemmersbach
Rights and permissions
About this article
Cite this article
Toyama, A., Gotoda, M., Kaneko, T. et al. Existence Conditions and Formation Process of Second Type of Spiral Loop Particle Accumulation Structure (SL-2 PAS) in Half-zone Liquid Bridge. Microgravity Sci. Technol. 29, 263–274 (2017). https://doi.org/10.1007/s12217-017-9544-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12217-017-9544-y