Ice crystal icing seriously affects the normal operation of aero-engines, posing a threat to flight safety. The adhesive properties of partially melted ice particles constitute the core factor influencing this problem. Existing research has yet to clarify their adhesion mechanism, and the influence law of liquid water on adhesion properties remains unclear. To address this, this study de-signed and constructed an experimental setup for the impact and adhesion of partially melted ice particles. Adhesion experiments were conducted under varying impact velocities, particle diameters, and melt ratio levels. By combining theoretical analysis and experimental observations, the formation mechanism of residual ice cones was revealed, and their three-dimensional morphology was subjected to qualitative and quantitative analysis. The study further clarified the influence mechanism of melt ratio on adhesion properties: lower melt ratios promote ice cone formation, while excessively high melt ratios inhibit it. The ice cone formation probability P exhibits an initial increase followed by a decrease as the melt ratio rises. Based on the above findings, an empirical model was developed to fit the ice cone formation probability, establishing a correlation between the truncation constant ξ0 and the dimensionless water film thickness hf*. This study provides insights into the adhesion mechanism of partially melted ice particles and offers theoretical foundations and data support for developing adhesion models relevant to aviation engine anti-icing systems.
[1] MASON J, STRAPP W, CHOW P. The Ice Par-ticle Threat to Engines in Flight[C]//44th AIAA Aerospace Sciences Meeting and Exhibit. Reno, Nevada: American Institute of Aero-nautics and Astronautics, 2006.
[2] BRAVIN M, STRAPP J W, MASON J. An In-vestigation into Location and Convective Lifecycle Trends in an Ice Crystal Icing Engine Event Database[C]//SAE 2015 International Conference on Icing of Aircraft, Engines, and Structures. 2015: 2015-01-2130.
[3] ADDY, JR. H E, VERES J P. An Overview of NASA Engine Ice-Crystal Icing Re-search[C]//SAE 2011 International Conference on Aircraft and Engine Icing and Ground De-icing. 2011: 2011-38-0017.
[4] DEZITTER F, GRANDIN A, BRENGUIER J L, et al. HAIC - High Altitude Ice Crys-tals[C]//5th AIAA Atmospheric and Space En-vironments Conference. San Diego, CA: Amer-ican Institute of Aeronautics and Astronautics, 2013.
[5] HAUK T, ROISMAN I V, TROPEA C D. In-vestigation of the Impact Behaviour of Ice Par-ticles[C]//6th AIAA Atmospheric and Space Environments Conference. Atlanta, GA: Amer-ican Institute of Aeronautics and Astronautics, 2014.
[6] HAUK T, BONACCURSO E, ROISMAN I V, et al. Ice crystal impact onto a dry solid wall. Particle fragmentation[J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2015, 471(2181): 20150399.
[7] LAUSCH M, REITTER L M, SCHREMB M, et al. Impact of an ice particle onto a rigid sub-strate: Statistical analysis of the fragment size distribution[J/]. International Journal of Impact Engineering, 2023, 181: 104732.
[8] LIU Z, BU X, LIN G, et al. Experimental as-sessment of rigid surface collision effects on suspended ice particles[J]. Cold Regions Sci-ence and Technology, 2025, 231: 104394.
[9] YANG Z, JIN Z, YANG Z. Experimental inves-tigation of an ice particle impinging on a flat plate[J]. Cold Regions Science and Technology, 2024, 218: 104083.
[10] REITTER L M, LOHMANN H, SCHREMB M, et al. Impact of an ice particle onto a dry rigid substrate: Dynamic sintering of a residual ice cone[J]. Cold Regions Science and Technology, 2022, 194: 103416.
[11] YANG Z, JIN Z, YANG Z. Experimental inves-tigation of an ice particle impinging on a hot surface[J]. Cold Regions Science and Technol-ogy, 2025, 234: 104481.
[12] ALVAREZ M, KREEGER R E, PALACIOS J. Experimental evaluation of the impact behavior of partially melted ice particles[J]. International Journal of Impact Engineering, 2019, 123: 70-76.
[13] 刘宗辉, 卜雪琴, 林贵平. 部分融化冰晶撞击特性实验研究[J]. 航空学报, 2025: 1-0.
LIU Z H, BU X Q, LIN G P. Experimental As-sessment of the impact behavior of partially melted ice particles [J]. Acta Aeronautica et As-tronautica Sinica, 2025,46(19): 131558.
[14] REITTER L M, MAYRHOFER A, TROPEA C, et al. Experimental Investigation of Normal and Oblique Impact of Ice Particles Onto a Wetted Wall[C]//AIAA AVIATION 2022 Fo-rum. Chicago, IL & Virtual: American Institute of Aeronautics and Astronautics, 2022.
[15] 魏震, 刘秀芳, 钟富豪, 等. 微小冰晶粒子融化特性可视化实验研究[J]. 航空学报, 2023: 1-9.
WEI Z, LIU X F, ZHONG F H, et al. Visual experimental investigation on the Melting Characteristics of Minuscule Ice Crystal Parti-cles[J]. Acta Aeronautica et Astronautica Sinica, 2023: 1-9.
[16] YANG Z, JIN Z, YANG Z. Oblique impinge-ment of an ice particle on a water film[J]. Phys-ics of Fluids, 2024, 36(9): 092123.
[17] YANG Z, JIN Z, YANG Z. Normal impact of an ice particle on a water film[J]. Physics of Fluids, 2024, 36(12): 122125.
[18] YARIN A L, PFAFFENLEHNER M, TROPEA C. On the acoustic levitation of droplets[J]. Journal of Fluid Mechanics, 1998, 356: 65-91.
[19] WILDEMAN S, STERL S, SUN C, et al. Fast Dynamics of Water Droplets Freezing from the Outside In[J]. Physical Review Letters, 2017, 118(8): 084101.
[20] MASON B J. On the melting of hailstones[J]. Quarterly Journal of the Royal Meteorological Society, 1956, 82(352): 209-216.
[21] 黄平, 卜雪琴, 林贵平, 等. 冰晶粒子运动过程中的相变特性[J]. 航空动力学报, 2022, 37(7): 1379-1391.
HUANG P, BU X Q, LIU G P, et al. Phase tran-sition characteristies of ice crystal particles in motion[J]. Journal of Aerospace Power, 2022, 37(7): 1379-1391.
[22] SCHLUNDER E U. Heat exchanger design handbook[M]. 1983.
[23] HAGER W H. Wilfrid Noel Bond and the Bond number[J]. Journal of Hydraulic Re-search, 2012, 50(1): 3-9.
[24] BOX G E, HUNTER W H, HUNTER S. Statis-tics for experimenters: Volume 664[M]. John Wiley and sons New York, 1978.
[25] HOGG R V, TANIS E A, ZIMMERMAN D L. Probability and statistical inference: Volume 993[M]. Macmillan New York, 1977.
[26] DASH J G, REMPEL A W, WETTLAUFER J S. The physics of premelted ice and its geo-physical consequences[J]. Reviews of Modern Physics, 2006, 78(3): 695-741.
[27] WETTLAUFER J S, WORSTER M G. PREMELTING DYNAMICS[J]. Annual Re-view of Fluid Mechanics, 2006, 38(1): 427-452.
[28] PRESLES B, DEBAYLE J, PINOLI J ‐C. Size and shape estimation of 3‐D convex objects from their 2‐D projections: application to crys-tallization processes[J]. Journal of Microscopy, 2012, 248(2): 140-155.
[29] REITTER L M, SCHREMB M, LOHMANN H, et al. Experimental Investigation of Ice Particle Impacts onto a Rigid Substrate[C]//AIAA AVIATION 2021 FORUM. VIRTUAL EVENT: American Institute of Aeronautics and Astro-nautics, 2021.
[30] CURRIE T, STRUK P, TSAO J C, et al. Fun-damental study of mixed-phase icing with ap-plication to ice crystal accretion in aircraft jet engines[C]//4th AIAA atmospheric and space environments conference. 2012: 3035.
[31] CURRIE T C, FULEKI D, MAHALLATI A. Experimental studies of mixed-phase sticking efficiency for ice crystal accretion in jet en-gines[C]//6th AIAA Atmospheric and Space Environments Conference. 2014: 3049.
[32] CURRIE T C, FULEKI D. Experimental Re-sults for Ice Crystal Icing on Hemispherical and Double Wedge Geometries at Varying Mach Numbers and Wet Bulb Tempera-tures[C]//8th AIAA Atmospheric and Space Environments Conference. Washington, D.C.: American Institute of Aeronautics and Astro-nautics, 2016.