Volume 8, Issue 5
Multi-Zone Ice Accretion and Roughness Models for Aircraft Icing Numerical Simulation

Adv. Appl. Math. Mech., 8 (2016), pp. 737-756.

Published online: 2018-05

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• 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 model, multi-zone, film, rivulets, beads, roughness height, heat transfer, temperature conduction.

76T10, 80A20

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• RIS
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@Article{AAMM-8-737, author = {}, title = {Multi-Zone Ice Accretion and Roughness Models for Aircraft Icing Numerical Simulation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {5}, pages = {737--756}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1175}, url = {http://global-sci.org/intro/article_detail/aamm/12113.html} }
TY - JOUR T1 - Multi-Zone Ice Accretion and Roughness Models for Aircraft Icing Numerical Simulation JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 737 EP - 756 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/aamm.2015.m1175 UR - https://global-sci.org/intro/article_detail/aamm/12113.html KW - Ice accretion model, multi-zone, film, rivulets, beads, roughness height, heat transfer, temperature conduction. AB -

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.

Chengxiang Zhu, Chunling Zhu & Tao Guo. (2020). Multi-Zone Ice Accretion and Roughness Models for Aircraft Icing Numerical Simulation. Advances in Applied Mathematics and Mechanics. 8 (5). 737-756. doi:10.4208/aamm.2015.m1175
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