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热障涂层隔热机理分析及有效性判据

刘洋 杜泽群 李海旺 由儒全

刘洋, 杜泽群, 李海旺, 等. 热障涂层隔热机理分析及有效性判据[J]. 航空动力学报, 2022, 37(11):2430-2439 doi: 10.13224/j.cnki.jasp.20220309
引用本文: 刘洋, 杜泽群, 李海旺, 等. 热障涂层隔热机理分析及有效性判据[J]. 航空动力学报, 2022, 37(11):2430-2439 doi: 10.13224/j.cnki.jasp.20220309
LIU Yang, DU Zequn, LI Haiwang, et al. Thermal insulation mechanism analysis and effectiveness criterion of thermal barrier coating[J]. Journal of Aerospace Power, 2022, 37(11):2430-2439 doi: 10.13224/j.cnki.jasp.20220309
Citation: LIU Yang, DU Zequn, LI Haiwang, et al. Thermal insulation mechanism analysis and effectiveness criterion of thermal barrier coating[J]. Journal of Aerospace Power, 2022, 37(11):2430-2439 doi: 10.13224/j.cnki.jasp.20220309

热障涂层隔热机理分析及有效性判据

doi: 10.13224/j.cnki.jasp.20220309
详细信息
    作者简介:

    刘洋(1997−),男,硕士生,主要从事涡轮叶片热障涂层隔热性能研究

    通讯作者:

    杜泽群(1998−),女,博士生,主要从事涡轮叶片高效冷却及热障涂层等方面的研究。E-mail:by2132127@buaa.edu.cn

  • 中图分类号: V231.1

Thermal insulation mechanism analysis and effectiveness criterion of thermal barrier coating

  • 摘要:

    建立了一维对流-导热模型,经理论推导、分析验证得到了热障涂层隔热有效性判据:当涂层热阻大于无涂层时高温燃气侧换热热阻时,涂层总能使叶片金属基体外表面温度降低,起到隔热效果;反之,则喷涂热障涂层(TBC)后外部燃气侧表面传热系数存在临界值,只有该表面传热系数小于临界值,热障涂层才能起到隔热效果,否则涂层起不到隔热效果,甚至会恶化叶片换热。热障涂层自身温降与有无涂层前后叶片金属基体外表面温降成比例关系,建立了以叶片金属基体外表面温度为基础的新的涂层隔热效果评价机制。

     

  • 图 1  一维理论换热模型

    Figure 1.  One-dimensional theoretical heat transfer model

    图 2  带热障涂层的叶片导热对流模型(单位:mm)

    Figure 2.  Thermal convection model of blade with thermal barrier coating (unit:mm)

    图 3  不带热障涂层的叶片导热对流模型(单位:mm)

    Figure 3.  Thermal convection model of blade without thermal barrier coating (unit:mm)

    图 4  带热障涂层叶片金属基体外表面温度${T'_{{\text{w}}2}}$${h'_1}$变化曲线 (${h_1} = 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ){\text{ }}\;,{h'_1} = 1$$ 100\;000\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ) $)

    Figure 4.  Curve of external surface temperature of blade metal substrate with thermal barrier coating ${T '_{{\text{w}}2}}$ varies with ${h '_1}$ (${h_1} = 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ){\text{ }}\;,{h'_1} = 1$$100\;000\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } )$)

    图 5  带热障涂层时叶片金属基体外表面温度${T '_{{\text{w}}2}}$${h '_1}$变化曲线 (${h_1} = 10\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } )\;,{h '_1} = 1$$40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ) $)

    Figure 5.  Curve of external surface temperature of blade metal substrate with thermal barrier coating ${T '_{{\text{w}}2}}$ varies with ${h '_1}$ (${h_1} = 10\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ){\text{ }},{h '_1} = 1$$ 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ) $)

    图 6  ${h_1} = 40\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}})$时,温降比的计算值和理论值比较图

    Figure 6.  Comparison of calculated and theoretical values of temperature drop ratio,when ${h_1} = 40\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} )$

    图 7  温降比的计算值和理论值比较图 (${h_1} = 10\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} )$)

    Figure 7.  Comparison of calculated and theoretical values of temperature drop ratio (${h_1} = 10\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} )$)

    表  1  换热模型参数

    Table  1.   Heat transfer model parameters

    参数类型真实叶片设计模型
    金属基体厚度/mm1.5~3.012.00
    涂层厚度/mm0.1~0.73.00
    金属基体
    导热系数/(${ {\text{W} } / {( { {\text{m} } \cdot {\text{K} } })} }$)
    20~251.02
    涂层导热系数/(${ {\text{W} } /{( { {\text{m} } \cdot {\text{K} } } )} }$)0.8~20.065
    涂层/金属基体
    厚度比
    0.05~0.50.25
    涂层/金属基体
    导热系数比
    0.04~0.080.07
    外换热系数/(${ {\text{W} } /{( { {\text{m} }^2 \cdot {\text{K} } })} }$)103~10410~40
    金属基体/涂层
    Bi数比
    0.1~1.5数量级一致
    叶片金属基体
    表面粗糙度/μm
    1.20尽可能光滑
    涂层表面粗糙度/μm4~73.2~8.0
    下载: 导出CSV

    表  2  边界条件

    Table  2.   Boundary conditions

    边界条件设置
    无涂层高温燃气侧对流边界条件: ${T_{\rm{g}}} = 493\;{\text{ K} }$, ${h_1} = { {10} / {40} }\;{ {\text{W} }/{( { { {\text{m} }^2} \cdot {\text{K} } } )} }$
    有涂层高温燃气侧对流边界条件:${T_{\rm{g}}} = 493\;{\text{ K} }$, ${h'_1} = 1 {\text{~}} 100\;000\;{\text{W/} }( { { {\text{m} }^{\text{2} } } \cdot {\text{K} } } )$
    内部冷却气侧对流边界条件:${T_{\rm{c}}} = 293\;{\text{ K} }$, ${h_2} = 20\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } )$
    其余边界对称面为周期性边界条件
    下载: 导出CSV

    表  3  ${T '_{{\text{w}}2}}$${h'_1}$变化曲线 (${h_1} = 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ){\text{ }},{h '_1} = 1{\text{~}}100\;000\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} )$)

    Table  3.   ${T '_{{\text{w}}2}}$ variation curve with ${h '_1}$ (${h_1} = 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ),{\text{ }}{h'_1} = 1$$100\;000\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} ) $)

    ${ { h'_1} } /({\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } }))$${ { { T '_{ {\text{w} }2} } } \mathord{\left/ {\vphantom { { { {T'}_{ {\text{w} }2} } } {\text{K} } } } \right. } {\text{K} } }$
    1304.127
    10352.394
    20371.207
    40385.922
    100397.746
    1000406.403
    10000407.348
    100000407.443
    下载: 导出CSV

    表  4  ${T '_{{\text{w}}2}}$${h'_1}$变化曲线 (${h_1} = 10\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } )\;,{h'_1} = 1$$ 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ) $)

    Table  4.   ${T'_{{\text{w}}2}}$ variation curve with ${h'_1}$ (${h_1} = 10\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } )\;,{h'_1} = 1$$ 40\;{\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ) $)

    ${ {h'_1} }/({\text{W} }/( { { {\text{m} }^2} \cdot {\text{K} } } ))$${ { { T'_{ {\text{w} }2} } } \mathord{\left/ {\vphantom { { { {T {\text{'} } }_{ {\text{w} }2} } } {\text{K} } } } \right. } {\text{K} } }$
    1304.127
    5333.099
    10352.394
    14.2857362.413
    18.5714369.347
    22.8571374.431
    40385.922
    下载: 导出CSV

    表  5  各参数随${h' _1}$变化结果 (${h_1} = 40\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} )$)

    Table  5.   Change results of each parameter with ${h' _1}$ (${h_1} = 40\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}})$)

    ${ { { h'_1} } /{( { {\text{W} }/( { { {\text{m} }^{\text{2} } } \cdot {\text{K} } })})} }$${ { { T'_{ {\text{w} }2} } } \mathord{\left/ {\vphantom { { { {T'}_{ {\text{w} }2} } } {\text{K} } } } \right. } {\text{K} } }$${ { { T'_{ {\text{w3} } } } } \mathord{\left/ {\vphantom { { { {T'}_{ {\text{w3} } } } } {\text{K} } } } \right. } {\text{K} } }$$ {{\Delta {T_1}} \mathord{\left/ {\vphantom {{\Delta {T_1}} {\text{K}}}} \right. } {\text{K}}} $$ {{\Delta {T_2}} \mathord{\left/ {\vphantom {{\Delta {T_2}} {\text{K}}}} \right. } {\text{K}}} $温降比计算值温降比理论值
    1304.127312.468.333131.2360.0634962970.063492063
    10352.394396.79644.40282.9690.5351637360.535147392
    20371.207429.66858.46164.1560.9112319970.911196911
    40385.922455.37869.45649.4411.4048259541.404761905
    100397.746476.03778.29137.6172.0812664492.081128748
    1000406.403491.16484.76128.962.9268301102.926587302
    10000407.348492.81585.46728.0153.0507585223.050514451
    100000407.443492.98285.53927.923.0637177653.063486871
    下载: 导出CSV

    表  6  各参数随${h' _1}$变化结果 (${h_1} = 10\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}})$)

    Table  6.   Change results of each parameter with ${h' _1}$ (${h_1} = 10\;{\text{W/}}( {{{\text{m}}^{\text{2}}} \cdot {\text{K}}} )$)

    ${ { { h'_1} } /{({ {\text{W} }/( { { {\text{m} }^{\text{2} } } \cdot {\text{K} } } )} )} }$${ { { T'_{ {\text{w} }2} } } \mathord{\left/ {\vphantom { { { {T'}_{ {\text{w} }2} } } {\text{K} } } } \right. } {\text{K} } }$${ { { T'_{ {\text{w3} } } } } \mathord{\left/ {\vphantom { { { {T'}_{ {\text{w3} } } } } {\text{K} } } } \right. } {\text{K} } }$$ {{\Delta {T_1}} \mathord{\left/ {\vphantom {{\Delta {T_1}} {\text{K}}}} \right. } {\text{K}}} $$ {{\Delta {T_2}} \mathord{\left/ {\vphantom {{\Delta {T_2}} {\text{K}}}} \right. } {\text{K}}} $温降比计算值温降比理论值
    1304.127312.468.33365.2210.1277660.127758
    5333.099363.0829.98136.2490.8270850.827068
    10352.394396.79644.40216.9542.6189692.619048
    14.2857362.413414.30251.8896.9357.4821927.482961
    18.5714369.347426.41857.0710.001570711459181
    22.8571374.431435.360.869−5.083−11.975−11.9729
    40385.922455.37869.456−16.574−4.19066−4.19048
    100397.746476.03778.291−28.398−2.75692−2.75689
    1000406.403491.16484.761−37.055−2.28744−2.28738
    10000407.348492.81585.467−38−2.24913−2.24907
    100000407.443492.98285.539−38.095−2.24541−2.24531
    下载: 导出CSV
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  • 收稿日期:  2022-05-06
  • 网络出版日期:  2022-10-08

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