Rapid thermal analysis method for film cooling coupled with thermal barrier coatings
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摘要:
面向涡轮叶片的冷却设计和分析问题,建立并初步验证了一种热障涂层和气膜冷却耦合的快速热分析方法。该方法首先基于金属区域导热流线的形貌,提出将此传热过程分解为相互间绝热的三类,以此降低方程构建的难度。又进一步采用拓扑转化方法,将上述复杂的三维传热过程比拟为了一维的均匀平板或圆管扇形段,最终推导得到了一组共计40个直接计算公式,实现了对目标壁面加权平均温度的快速求解。该方法可用于分析流动和传热工况、气膜孔和热障涂层几何结构,以及涂层和金属基体物性参数等对壁温的影响。以多种热障涂层涂敷方式和吹风比
M 工况下的三维热分析结果作为基准,对方法准确性进行了校验,所得特征壁温的相对误差δ 均在±1.25%之间,可满足工程应用需求。Abstract:In order to efficiently design and analyze the turbine blade cooling structures, a rapid thermal analysis method for film cooling coupled with thermal barrier coatings (TBC) was established and basically verified. Based on the morphologies of the conductive heat flow streamlines in the metal region, the heat transfer processes were separated into three parts of mutual adiabatic, so as to reduce the difficulties of equation construction. Topologically transforming methods were applied, thus the complicated 3D heat transfer processes were translated into 1D ones like flat plates or fan-shaped segments with uniform wall thickness. A set of 40 direct calculation formulas were derived accordingly, which achieves a rapid solution of the weighted average temperature at the objective walls. Many effects on the wall temperature could be analyzed by this method, such as the flow and heat transfer conditions, the geometries of both film cooling hole and TBC, and also the material properties of them. The accuracy of the method was investigated by comparing its results with the fiducial ones obtained from 3D simulations. The relative error (
δ ) of these wall temperatures were within ±1.25% considering various TBC coverage schemes and blowing ratios (M ) operating conditions, which met the requirements of engineering applications. -
表 1 计算参数
Table 1. Parameters of computation
参数类型 变量 数值 几何结构 l/mm 35 b/mm 2 H/mm 2 D/mm 1 lh/mm 2 β/(°) 40 HTBC/mm 0.3 燃气覆盖区热障涂层 有 气膜覆盖区热障涂层 无 工况条件 M 1 Tg/K 2000 Tc/K 1000 αg/(W/(m2·K)) 1400 $\alpha_{\mathrm{g}}' $/(W/(m2·K)) 1157.03 αc1/(W/(m2·K)) 1200 $\alpha_{\mathrm{c1}}' $/(W/(m2·K)) 1016.95 αc2/(W/(m2·K)) 1194.07 αc3/(W/(m2·K)) 500 物性参数 λs/(W/(m·K)) 20 λTBC/(W/(m·K)) 2 -
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