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Normal impact of supercooled water drops onto a smooth ice surface: experiments and modelling

Published online by Cambridge University Press:  29 November 2017

Markus Schremb Open the ORCID record for Markus Schremb [Opens in a new window] ,
Ilia V. Roisman Open the ORCID record for Ilia V. Roisman [Opens in a new window]  and
Cameron Tropea
Markus Schremb*
Affiliation:
Institute of Fluid Mechanics and Aerodynamics, Technische Universität Darmstadt, Alarich-Weiss-Straße 10, 64287 Darmstadt, Germany
Ilia V. Roisman
Affiliation:
Institute of Fluid Mechanics and Aerodynamics, Technische Universität Darmstadt, Alarich-Weiss-Straße 10, 64287 Darmstadt, Germany
Cameron Tropea
Affiliation:
Institute of Fluid Mechanics and Aerodynamics, Technische Universität Darmstadt, Alarich-Weiss-Straße 10, 64287 Darmstadt, Germany
*
†Email address for correspondence: [email protected]
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Abstract

The present study is devoted to the experimental investigation and theoretical modelling of the interaction between fluid flow and solidification during the impact of supercooled water drops onto an ice surface. Using a high-speed video system, the impact process is captured with a high spatial and temporal resolution in a side view. The lamella thinning and the residual ice layer thickness in the centre of impact are determined from the high-speed videos for varying drop and surface temperatures, and impact velocities. It is shown that the temperature of the impact surface has a negligible influence and the drop temperature has a dominating influence on the lamella thinning and the final ice layer thickness. For decreasing drop temperatures, higher freezing rates cause a decreased rate of lamella thinning and a larger thickness of the resulting ice layer. On the other hand, a higher impact velocity causes an increasing speed of lamella thinning and a smaller thickness of the resulting ice layer. Based on a postulated flow in the spreading lamella and considering the ice layer growth and the developing viscous boundary layer, the upper limit for the resulting ice layer thickness is theoretically modelled. The theory shows very good agreement with the experimental results for all impact conditions. Based on the derived theoretical scaling, a semi-empirical equation is obtained which allows an a priori prediction of the final ice layer thickness resulting from a single drop impact, knowing the impact conditions. This capability is important for the improvement of existing ice accretion models.

JFM classification

Drops and Bubbles: Drops Phase change: Solidification/melting Phase change: Icing
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 835 , 25 January 2018 , pp. 1087 - 1107
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Copyright
© 2017 Cambridge University Press 

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References

Alexiades, V. & Solomon, A. 1992 Mathematical Modeling of Melting and Freezing Processes. Taylor & Francis.Google Scholar
Berberović, E., Roisman, I. V., Jakirlić, S. & Tropea, C. 2011 Inertia dominated flow and heat transfer in liquid drop spreading on a hot substrate. Intl J. Heat Fluid Flow 32 (4), 785–795.Google Scholar
Cebeci, T. & Kafyeke, F. 2003 Aircraft Icing. Annu. Rev. Fluid Mech. 35 (1), 11–21.Google Scholar
Dalili, N., Edrisy, A. & Carriveau, R. 2009 A review of surface engineering issues critical to wind turbine performance. Renew. Sust. Energy Rev. 13 (2), 428–438.CrossRefGoogle Scholar
Davis, S. H. 2001 Theory of Solidification. Cambridge University Press.Google Scholar
Farzaneh, M.(Ed.) 2008 Atmospheric Icing of Power Networks. Springer Science & Business Media.Google Scholar
Hobbs, P. V. 2010 Ice Physics. Oxford University Press.Google Scholar
Hoose, C. & Möhler, O. 2012 Heterogeneous ice nucleation on atmospheric aerosols: a review of results from laboratory experiments. Atmos. Chem. Phys. 12 (20), 9817–9854.CrossRefGoogle Scholar
Jin, Z., Zhang, H. & Yang, Z. 2017 Experimental investigation of the impact and freezing processes of a water droplet on an ice surface. Intl J. Heat Mass Transfer 109, 716–724.Google Scholar
Josserand, C. & Thoroddsen, S. T. 2016 Drop impact on a solid surface. Annu. Rev. Fluid Mech. 48 (1), 365–391.CrossRefGoogle Scholar
Kong, W. & Liu, H. 2015 A theory on the icing evolution of supercooled water near solid substrate. Intl J. Heat Mass Tranfer 91, 1217–1236.CrossRefGoogle Scholar
Makkonen, L. 1987 Salinity and growth rate of ice formed by sea spray. Cold Reg. Sci. Technol. 14 (2), 163–171.CrossRefGoogle Scholar
Moita, A. S., Moreira, A. L. & Roisman, I. V. 2010 Heat transfer during drop impact onto a heated solid surface. In Proceedings of the 14th International Heat Transfer Conference, Washington, DC, USA. American Society of Mechanical Engineers.Google Scholar
Pasandideh-Fard, M., Aziz, S. D., Chandra, S. & Mostaghimi, J. 2001 Cooling effectiveness of a water drop impinging on a hot surface. Intl J. Heat Fluid Flow 22 (2), 201–210.CrossRefGoogle Scholar
Pasandideh-Fard, M., Bhola, R., Chandra, S. & Mostaghimi, J. 1998 Deposition of tin droplets on a steel plate: simulations and experiments. Intl J. Heat Mass Tranfer 41, 2929–2945.Google Scholar
Pruppacher, H. R. & Klett, J. D. 1997 Microphysics of Clouds and Precipitation, 2nd edn. Springer.Google Scholar
Rein, M. 1993 Phenomena of liquid drop impact on solid and liquid surfaces. Fluid Dyn. Res. 12 (2), 61–93.Google Scholar
Rein, M.(Ed.) 2003 Drop-Surface Interactions. Springer.Google Scholar
Roisman, I. V. 2009 Inertia dominated drop collisions. II. An analytical solution of the Navier–Stokes equations for a spreading viscous film. Phys. Fluids 21 (5), 052104.CrossRefGoogle Scholar
Roisman, I. V. 2010 Fast forced liquid film spreading on a substrate: flow, heat transfer and phase transition. J. Fluid Mech. 656, 189–204.Google Scholar
Roisman, I. V., Berberović, E. & Tropea, C. 2009 Inertia dominated drop collisions. I. On the universal flow in the lamella. Phys. Fluids 79, 52103.CrossRefGoogle Scholar
Rozhkov, A., Prunet-Foch, B. & Vignes-Adler, M. 2002 Impact of water drops on small targets. Phys. Fluids 14 (10), 3485–3501.CrossRefGoogle Scholar
Rozhkov, A., Prunet-Foch, B. & Vignes-Adler, M. 2004 Dynamics of a liquid lamella resulting from the impact of a water drop on a small target. Proc. R. Soc. Lond. A 460 (2049), 2681–2704.CrossRefGoogle Scholar
Schremb, M., Borchert, S., Berberović, E., Jakirlić, S., Roisman, I. V. & Tropea, C. 2017a Computational modelling of flow and conjugate heat transfer of a drop impacting onto a cold wall. Intl J. Heat Mass Tranfer 109, 971–980.CrossRefGoogle Scholar
Schremb, M., Campbell, J. M., Christenson, H. K. & Tropea, C. 2017b Ice layer spreading along a solid substrate during the freezing of supercooled water: experiments and modeling. Langmuir 33 (19), 4870–4877.Google Scholar
Schremb, M., Roisman, I. V., Jakirlić, S. & Tropea, C. 2016 Freezing behavior of supercooled water drops impacting onto a cold surface. In Proceedings of the 27th Annual Conference on Liquid Atomization and Spray Systems, Brighton, UK. University of Brighton.Google Scholar
Schremb, M., Roisman, I. V. & Tropea, C. 2015 Different outcomes after inclined impacts of water drops on a cooled surface. In Proceedings of the 13th Triennial International Conference on Liquid Atomization and Spray Systems, Tainan, Taiwan. National Cheng Kung University.Google Scholar
Schremb, M., Roisman, I. V. & Tropea, C. 2017c Transient effects in ice nucleation of a water drop impacting onto a cold substrate. Phys. Rev. E 95, 022805.Google Scholar
Schremb, M. & Tropea, C. 2016 Solidification of supercooled water in the vicinity of a solid wall. Phys. Rev. E 94 (5), 052804.Google ScholarPubMed
Shibkov, A. A., Golovin, Y. I., Zheltov, M. A., Korolev, A. A. & Leonov, A. A. 2003 Morphology diagram of nonequilibrium patterns of ice crystals growing in supercooled water. Physica A 319, 65–79.CrossRefGoogle Scholar
Symons, L. & Perry, A. 1997 Predicting road hazards caused by rain, freezing rain and wet surfaces and the role of weather radar. Meteorol. Appl. 4, 17–21.Google Scholar
Szilder, K., Lozowski, E. P. & Reuter, G. 2002 A study of ice accretion shape on cables under freezing rain conditions. Trans. ASME J. Offshore Mech. Arctic Engng. 124, 162–168.Google Scholar
Tropea, C., Schremb, M. & Roisman, I. V. 2017 Physics of SLD impact and solidification. In Proceedings of the 7th European Conference for Aeronautics and Space Sciences, Milan, Italy. EUCASS.Google Scholar
VDI, 2006 VDI Wärmeatlas. Springer.Google Scholar
Yarin, A. L. 2006 Drop impact dynamics: splashing, spreading, receding, bouncing. Annu. Rev. Fluid Mech. 38 (1), 159–192.Google Scholar
Yarin, A. L., Roisman, I. V. & Tropea, C. 2017 Collision Phenomena in Liquids and Solids. Cambridge University Press.Google Scholar
Yarin, A. L. & Weiss, D. A. 1995 Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity. J. Fluid Mech. 283, 141–173.CrossRefGoogle Scholar

Schremb et al. supplementary movie 1

Supercooled water drop with a diameter of 3.4 mm impacts with 2.2 m/s onto a small ice impact target, both at -14.0°C.

Download Schremb et al. supplementary movie 1(Video)
Video 1.7 MB

Schremb et al. supplementary movie 2

Supercooled water drop with a diameter of 3.4 mm impacts with 2.2 m/s onto a small ice impact target, both at -14.0°C.

Download Schremb et al. supplementary movie 2(Video)
Video 785.8 KB