Numerical modelling of the liquid crystallization processes on the curvilinear surface in the flow of the air-droplet environment
DOI:
https://doi.org/10.30838/J.PMHTM.2413.240418.56.106Keywords:
numerical modelling, Reynolds-averaged Navier − Stokes equations, Baldwin − Lomax turbulence model, ONERA M6 wing, aircrafts icingAbstract
Statement of the problem. A methodology and software-methodical support that allow modelling the processes of water crystallization on curvilinear surfaces in a three-dimensional setting have been developed. To describe the air-droplet flow, an approach, based on solving the Reynolds averaged Navier − Stokes equations using the Baldwin−Lomax algebraic turbulence model is proposed. In this model the motion of supercooled water droplets is described using a model of interpenetrating media. Numerical simulation of the process of ice crystals growth is performed using the method of surface control volumes, based on the mass, energy conservation and momentum equations. The calculations results are presented on the example of ONERA M6 wing icing. Conclusions. Considering the process of crystallization of a precipitation liquid from an air-droplet flow on a swept wing, a curvature of the streamlines near the leading edge occurs, which affects the character of the movement of the unfrozen liquid along the streamlined surface. With decreasing the length of the chord of the cross section of the wing, the volume of the unfrozen liquid, moving along the wing, which also also significantly influences the shape of the simulated ice build-up, is increasing. The proposed methodology can have wider application in various fields of knowledge, for example, wind power engineering, engineering, in materials science, including modelling the processes of sputtering metal melts on the surface of metal products, while studying the process of pipe aluminizing.
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REFERENCES
Wright W.B. Users Manual for the Improved NASA Lewis Ice Accretion Code LEWICE 1.6. National Aeronautical and Space Administration (NASA). Contractor Report, may, 1995, 95 p.
Fortin G., Ilinca A. and Brandi V. A new roughness computation method and geometric accretion model for airfoil icing. J. Aircraft, 2004, vol. 41, no. 1, pp. 119–127.
Gent R. W. TRAJICE2, A Combined Water Droplet and Ice Accretion Prediction Program for Aerofoil. Royal Aerospace Establishment (RAE). Farnborough, Hampshire, Technical Report Number TR90054, 1990, 83 р.
Guffond D., Hedde T. and Henry R. Overview of Icing Research at ONERA, Advisory Group for Aerospace Research and Development. Fluid Dynamics Panel (AGARD/FDP) Joint International Conference on Aircraft Flight Safety – Actual Problems of Aircraft Development, Zhukovsky, Russia, 1993, 7 p.
Sedov L.I. Continuum mechanics. Moscow : Nauka, 1983, vol. 1, 528 p., vol. 2, 560 p.
Alekseyenko S. Numerical Simulation of the Icing Surfaces Cylinder and the Profile. PAMM, vol. 13 (1), 2013, pp. 299–300.
Alekseyenko S.V. and Prykhodko O.A. Numerical simulation of icing of a cylinder and an airfoil: model review and computational results. TsAGI Science Journal, vol. 44, 2013, iss. 6, pp. 761–805.
Alekseenko S.V. and Prikhod’ko A.A. Mathematical Modeling of Ice Body Formation on the Wing Airfoil Surface. Fluid Dynamics, 2014, vol. 49, no. 6, pр. 715–732.
Prikhod’ko A.A. and Alekseenko S.V. Numerical Simulation of the Processes of Icing on Airfoils with Formation of a “Barrier” Ice. Journal of Engineering Physics and Thermophysics. May, 2014, vol. 87, iss. 3, pp. 598–607. DOI:10.1007/s10891-014-1050-0.
Prykhodko A.A. and Alekseenko S.V. Numerical Simulation of the Process of Airfoil Icing in the Presence of Large Supercooled Water Drops. Technical Physics Letters, 2014, vol. 40, no. 10, pp. 884–887. DOI:10.1134/S1063785014100125.
Certification Specifications and Acceptable Means of Compliance for Large Aeroplanes CS–25, Amendment 17. European Aviation Safety Agency, 2015, 1023 р.
I-Shih Chang, One- and Two-Phase Nozzle Flows. AIAA Journal, vol. 18, no. 12, 1980, pр. 1455–1461.
Baldwin B.S. and Lomax H. Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows. AIAA Paper 78–257, 1978.
Alekseyenko S., Sinapius M., Schulz M. amd Prykhodko O. Interaction of Supercooled Large Droplets with Aerodynamic Profile. SAE Technical Paper 2015-01-2118, 2015, 12 р.
Alekseenko S.V., Mendig C., Schulz M., Sinapius M. and Prikhod’ko A.A. An Experimental Study of Freezing of a Supercooled Water Droplet on a Solid Surface. Technical Physics Letters, 2016, vol. 42, no. 5, pр. 524–527. DOI:10.1134/S1063785016050187.
Chengxiang Zhu, Bin Fu, Zhiguo Sun And Chunling Zhu 3d Ice Accretion Simulation For Complex Configuration Basing On Improved Messinger Model. International Journal of Modern Physics: Conference Series, vol. 19, 2012, pp. 341–350.
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