Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-27T21:38:20.564Z Has data issue: false hasContentIssue false
  • English
  • Français

Multi-Zone Ice Accretion and Roughness Models for Aircraft Icing Numerical Simulation

Part of: Thermodynamics and heat transfer Two-phase and multiphase flows

Published online by Cambridge University Press:  08 July 2016

Chengxiang Zhu ,
Chunling Zhu  and
Tao Guo
Chengxiang Zhu*
Affiliation:
Key Laboratory of Fundamental Science for National Defense-Advanced Design Technology of Flight Vehicle, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Chunling Zhu*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Tao Guo*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
*
*Corresponding author. Email:cxzhu@nuaa.edu.cn (C. X. Zhu), clzhu@nuaa.edu.cn (C. L. Zhu), guotao5134@163.com (T. Guo)
*Corresponding author. Email:cxzhu@nuaa.edu.cn (C. X. Zhu), clzhu@nuaa.edu.cn (C. L. Zhu), guotao5134@163.com (T. Guo)
*Corresponding author. Email:cxzhu@nuaa.edu.cn (C. X. Zhu), clzhu@nuaa.edu.cn (C. L. Zhu), guotao5134@163.com (T. Guo)
Get access

Abstract

A mathematical multi-zone ice accretion model used in the numerical simulation of icing on airfoil surface based on three water states, namely, continuous film, rivulets and beads is studied in this paper. An improved multi-zone roughness model is proposed. According to the flow state of liquid water and film flow, rivulets flow governing equations are established to calculate film mass distribution, film velocity, rivulet wetness factor and rivulet mass distribution. Force equilibrium equations of droplet are used to establish the critical conditions of water film broken into rivulets and rivulets broken into beads. The temperature conduction inside the water layer and ice layer is considered. Using the proposed model ice accretion on a NACA0012 airfoil profile with a 4° angle of attack under different icing conditions is simulated. Different ice shapes like glaze ice, mixed ice and rime ice are obtained, and the results agree well with icing wind tunnel experiment data. It can be seen that, water films are formed on the surface, and heights of the films vary with icing time and locations. This results in spatially-temporally varying surface roughness and heat transfer process, ultimately affects the ice prediction. Model simulations indicate that the process of water film formation and evolution cannot be ignored, especially under glaze ice condition.

Keywords

Ice accretion modelmulti-zonefilmrivuletsbeadsroughness heightheat transfertemperature conduction

MSC classification

Secondary: 76T10: Liquid-gas two-phase flows, bubbly flows 80A20: Heat and mass transfer, heat flow
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 5 , October 2016 , pp. 737 - 756
Copyright
Copyright © Global-Science Press 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Bidwell, Colin S. and Potapczuk, Mark G., Users manual for the NASA Lewis three-dimensional ice accretion code (LEWICE3D), NASA Technical Memorandum, (1993), 105974.Google Scholar
[2]Hedde, T. and Guffond, D., Onera three-dimensional icing model, AIAA J., 33(6) (1995), pp. 1038–1044.Google Scholar
[3]Wright, W. B., Gent, G. W. and Guffond, D., DRA/NASA/ONERA collaboration on icing research part II-prediction of airfoil ice accretion, NASACR-202349, 1997.Google Scholar
[4]Mingione, V. and Esposito, Brandi B., Ice Accretion predict on multi-element airfoils, AIAA-97-0177, 1997.Google Scholar
[5]Beaugendre, H., Morency, F. and Habashi, W. G., FENSAP-ICE: roughness effects on ice shape prediction, AIAA-2003-1222, 2003.CrossRefGoogle Scholar
[6]Hansman, R. J. and Turnock, S. R., Investigation of surface water behavior during glace ice accretion, AIAA-88-0015, 1988.CrossRefGoogle Scholar
[7]Hansman, R. J., Yamaguchi, K., Berkowitz, B. and Potapczuk, M., Modeling of surface roughness effects on glaze ice accretion, AIAA-89-0734.Google Scholar
[8]Yamaguchi, K., Hansman, R. J. and Berkowitz, B., Deterministic multi-zone ice accretion modeling, AIAA-91-0265.Google Scholar
[9]Shin, J., Characteristics of surface roughness associated with leading edge ice accretion, AIAA-94-0799, 1994.Google Scholar
[10]Bourgault, Y., Habashi, W. G. and Beaugendre, H., Development of a shallow water icing model in FENSAP-ICE, AIAA-99-0246, 1999.Google Scholar
[11]Otta, S. P. and Rothmayer, A. P., A simple boundary-layer water film model for aircraft icing, AIAA-2007-902.CrossRefGoogle Scholar
[12]Ye, Xuemin, Yan, Jungang, Li, Chunxi and Yan, Weiping, Breakdown model of locally heated and subcooled films driving by interfacial shear and gravity, Journal of North China Electric Power University, 37(2) (2010), pp. 63–68.Google Scholar
[13]Hartley, D. E. and Murgatroyd, W., Criteria for the break-up of thin liquid layers flowing isothermally over solid surfaces, Int. J. Heat Mass Transfer, 7(7) (1964), pp. 1003–1015.Google Scholar
[14]Hobler, T., Minimal surface wetting, Chemia Stosow, 2B(201) (1965).Google Scholar
[15]Mikielewicz, J. and Moszynski, J. R., Breakdown of a shear driven liquid film, Trans. IFFM, 66 (1975), pp. 3–11.Google Scholar
[16]Mikielewicz, J. and Moszynskl, J. R., Minimum thickness of a liquid film flowing vertically down a solid surface, Int. J. Heat Mass Transfer, 19(7) (1976), pp. 771–776.Google Scholar
[17]Joo, S. W., Davis, S. H. and Bankoff, S. G., Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers, J. Fluid Mech., 230 (1991), pp. 117–146.Google Scholar
[18]Bankoff, S. G., Significant questions in thin liquid film heat transfer, Trans. ASME. J. Heat Transfer, 116(1) (1994), pp. 10–16.Google Scholar
[19]Oron, A., Davis, S. H. and Bankoff, S. G., Long-scale evolution of thin liquid films, Rev. Modern Phys., 69(3) (1997), pp. 931–980.Google Scholar
[20]Hartley, D. E. and Murgatroyd, W., Criteria For the break-up of thin liquid layers flowing isothermally over solid surfaces, Int. J. Heat Mass Transfer, 7(7) (1964), pp. 1003–1015.Google Scholar
[21]Hansman, R. J. Jr, Reehorst, A. and Sims, J., Analysis of surface roughness generation in aircraft ice accretion, AIAA-92-0298, 1992.CrossRefGoogle Scholar
[22]Luxford, G., Experimental and modeling investigation of the deformation, drag and break-up of drizzle droplets subjected to strong aerodynamics forces in relation to SLD aircraft icing, Cranfield University School of Engineering, 2005.Google Scholar
[23]Anderson, D. N., Hentschel, D. B. and Ruff, G. A., Measurement and correlation of ice accretion roughness, AIAA-98-048, 1998.CrossRefGoogle Scholar
[24]Bragg, M. B., Kerho, M. and Winkler, J., Effects of initial ice roughness on airfoil aerodynamics, AIAA-94-0800, 1994.Google Scholar
[25]Shin, J., Berkowitz, B., Chen, H. H. and Cebeci, T., Prediction of ice shape and their effect on airfoil performance, AIAA-91-0264, 1991.CrossRefGoogle Scholar
[26]Gerhart, P. M., Gross, R. J. and Hochstein, J. I., Fundamentals of Fluid Mechanics, Second Edition, Addison-Wesley Publishing Company, 1992.Google Scholar
[27]Chen, H. H. and Cebeci, T., A turbulence model for iced airfoils and its validation, AIAA-92-0417, 1992.Google Scholar