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Numerical Simulation of the Processes of Icing on Airfoils with Formation of a “Barrier” Ice

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Journal of Engineering Physics and Thermophysics Aims and scope

Software and methods allowing one to model the processes of formation of a “barrier” ice on the unprotected part of an airfoil have been developed with the use of the Reynolds-averaged Navier–Stokes equations for a compressible gas, which are closed with the aid of the Spalart–Allmaras model of turbulence. An inertial model is used to describe the motion of overcooled water droplets. In modeling the process of ice accretion, differential equations of mass, momentum, and energy conservation are used for each element of the surface. The initial equations are made discrete by means of the control volume approach. The influence of the height of ice accretions and of their location on the character of air–droplet flow past a NACA 0012 airfoil and on its aerodynamic characteristics has been analyzed.

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References

  1. T. P. Meshcheryakova, Design of Systems of Protecting Aircraft and Helicopters [in Russian], Mashinostroenie, Moscow (1977).

    Google Scholar 

  2. Recommendating Instruction RTs-AP33.68.33.77, Determination of the Correspondence of an Engine to the Requirements AP-33 Concerning the Ability of Its Operation under Conditions of Icing and Ice Ingestion into the Engine [in Russian], TsIAM, Moscow (2003).

  3. M. B. Bragg, Aircraft aerodynamic effects due to large-droplet ice accretions, AIAA 34th Aerospace Sciences Meeting, Reno, NV, January 15–18, AIAA Paper, No. 0932 (1996).

  4. S. Dutch, Natural and Applied Sciences. http://www.uwgb.edu/dutchs/EarthSC102Notes/102Clouds.htm.

  5. M. Potapczuk, Numerical analysis of a NACA 0012 airfoil with leading edge ice accretions, AIAA Paper, No. 0101 (1987).

  6. A. A. Prikhod’ko, Computer Technologies in Aerohydrodynamics and Heat/Mass Transfer [in Russian], Naukova Dumka, Kiev (2003).

    Google Scholar 

  7. S. C. Caruso, Development of an unstructured mesh/Navier–Stokes method for aerodynamics of aircraft with ice accretions, AIAA Paper, No. 0758 (1990).

  8. S. C. Caruso and M. Farshchi, Automatic grid generation for iced airfoil flowfield predictions, AIAA Paper, No. 0415 (1992).

  9. J. Dompierre, D. J. Cronin, Y. Bourgault, et al., Numerical simulation of performance degradation of ice contaminated airfoils, AIAA Paper, No. 2235 (1997).

  10. S. Lee and M. B. Bragg, Effects of simulated spanwise ice shapes on airfoils: experimental investigation, AIAA Paper, No. 0092 (1999).

  11. S. Lee, H. S. Kim, and M. B. Bragg, Investigation of factors that influence iced airfoil aerodynamics, AIAA Paper, No. 0099 (2000).

  12. H. S. Kim and M. B. Bragg, Effect of leading-edge ice accretion geometry on airfoil aerodynamics, AIAA Paper, No. 3150 (1999).

  13. T. Dunn and E. Loth, Effects of simulated spanwise ice shapes on airfoils: computational investigation, AIAA Paper, No. 0093 (1999).

  14. S. Kumar and E. Loth, Aerodynamic simulations of airfoils with large-droplet ice shapes, in: Proc. 38th Aerospace Sci. Meeting and Exhibit, Reno NV, AIAA Paper, No. 0238 (2000).

  15. R. I. Nigmatulin, Dynamics of Multiphase Media [in Russian], Vols. 1, 2, Nauka, Moscow (1987).

    Google Scholar 

  16. A. A. Prikhod’ko and S. V. Alekseenko, Numerical simulation of a transonic vapor–gas flow around a cylinder, Vestn. Dnepropetr. Univ., Mekhanika, 1, Issue 7, 55–66 (2003).

    Google Scholar 

  17. S. V. Alekseenko, Numerical Simulation of the Processes of Hydrodynamics and Heat/Mass Transfer in Regions with Free Boundaries, Candidate’s Dissertation (in Engineering), Dnepropetrovsk (2012).

  18. A. A. Prikhod’ko and S. V. Alekseenko, Mathematical simulation of the processes of heat and mass transfer in the icing of airfoils, in: Proc. 6th Minsk Int. Heat Mass Transfer Forum “MIF–VI, ITMO im. A. V. Luikova NANB, Vol. 1, Minsk (2008), pp. 1–10.

  19. A. A. Prikhod’ko and S. V. Alekseenko, Icing of airfoils. Simulation of an air–drop flow, Aviats.-Kosm. Tekh. Tekhnol., No. 4, 59–67 (2013).

  20. P. R. Spalart and S. R. Allmaras, A one-equation turbulence model for aerodynamic flow, AIAA Paper, No. 0439 (1992).

  21. G. S. Constantinescu, M. C. Chapelet, and K. D. Squires, Turbulence modeling applied to flow over a sphere, AIAA J., 41, No. 9, 1733–1743 (2003).

    Article  Google Scholar 

  22. A. A. Pilipenko, O. B. Polevoi, and A. A. Prikhod’ko, Numerical simulation of the effect of Mach number and angle of attack on the regimes of transonic turbulent flow past airfoils, Uchen. Zap. TsAGI, 43, No. 1, 1–31 (2012).

    Article  Google Scholar 

  23. P. L. Roe, Characteristic-based schemes for the Euler equations, Annu. Rev. Fluid Mech., 18, 337–365 (1986).

    Article  MathSciNet  Google Scholar 

  24. G. Fortin, J. Laforte, and A. Beisswenger, Prediction of ice shapes on NACA 0012 2D airfoil, Anti-Icing Mater. Int. Lab., No. 2154 (2003).

  25. Fortin G., Ilinca A., and Brandi V. A new roughness computation method and geometric accretion model for airfoil icing. J. Aircraft., 41, No. 1, 119–127 (2004).

    Article  Google Scholar 

  26. B. L. Messinger, Equilibrium temperature of an unheated icing surface as a function of airspeed, J. Aeronaut. Sci., 20, No. 1, 29–42 (1953).

    Article  Google Scholar 

  27. F. H. Lozowski, J. R. Stallabras, and P. F. Hearty, The icing of an unheated nonrotating cylinder in liquid water dropletice crystal clouds, National Research Council, Laboratory report No. LTR-LT-96 (1979).

  28. Ice Accretion Simulation, AGARD-AR-344, Hull (1997).

  29. W. B. Wright, Users manual for the improved NACA lewis ice accretion code LEWICE 1.6, Contractor Report NACA, May, 1995.

  30. P. Louchez, G. Fortin, G. Mingione, and V. Brandi, Beads and rivulets modelling in ice accretion on a wing, in: Proc. 36th Aerospace Sci. “Meeting & Exhibit, American Institute of Aeronautics and Astronautics, Reno, Nevada (1998).

  31. F. H. Ludlam, The heat economy of a rimed cylinder, Q. J. R. Meteor. Soc., 77, No. 1, 663–666 (1951).

    Article  Google Scholar 

  32. D. Guffond and T. Hedde, Prediction of ice accretion: Comparison between the 2D and 3D codes, La Recherche Aerospatiale, No. 2, 103–115 (1994).

  33. A. P. Broeren, E. A. Whalen, and G. T. Busch, Aerodynamic simulation of runback ice accretion, J. Aircraft, 47, No. 3, 1641–1651 (2010).

    Article  Google Scholar 

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Correspondence to A. A. Prikhod’ko.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 87, No. 3, pp. 580–589, May–June, 2014.

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Prikhod’ko, A.A., Alekseenko, S.V. Numerical Simulation of the Processes of Icing on Airfoils with Formation of a “Barrier” Ice. J Eng Phys Thermophy 87, 598–607 (2014). https://doi.org/10.1007/s10891-014-1050-0

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  • DOI: https://doi.org/10.1007/s10891-014-1050-0

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