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首页> 外文会议>ASME(American Society of Mechanical Engineers) Turbo Expo vol.4 pt.B; 20070514-17; Montreal(CA) >INVESTIGATION INTO THE EFFECT OF UNCERTAINTY IN THERMAL PROPERTIES ON TURBOMACHINERY DISC HEAT TRANSFER USING BOTH A MONTE CARLO SIMULATION TECHNIQUE AND A TAYLOR SERIES UNCERTAINTY PROPAGATION METHOD
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INVESTIGATION INTO THE EFFECT OF UNCERTAINTY IN THERMAL PROPERTIES ON TURBOMACHINERY DISC HEAT TRANSFER USING BOTH A MONTE CARLO SIMULATION TECHNIQUE AND A TAYLOR SERIES UNCERTAINTY PROPAGATION METHOD

机译：蒙特卡罗模拟技术和泰勒级数不确定度传递方法研究热力学性能不确定性对涡轮机械圆盘传热的影响

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The effect of uncertainties in the thermal properties of components and surrounding fluids is often ignored in the field of experimental turbomachinery heat transfer. The work reported here uses two different methods of uncertainty analysis to help quantify these effects: 1) a stochastic Monte Carlo simulation and 2) a Taylor series uncertainty propagation. These two methods were used on a steady state free disc test case having a turbulent flow regime. The disc modelled was made from IMI 318 titanium and had an inner and outer radius of 0.115 m and 0.22 m respectively, representative of engine and test rig geometry. The disc thickness was 0.016 m. Convective boundary conditions were derived from the relevant equation for local Nusselt number. The applied boundary conditions resulted in local heat transfer coefficients in the range of approximately 120 W/m~2 K to 170 W/m~2 K. Uncertainties for these heat transfer coefficients were a near identical match between the two different uncertainty methods and were found to be ± 0.66%. Calculated heat flux values fell within the range of Opproximately 1500 W/m~2 and 5200 W/m~2. The Monte Carlo uncertainty method returned uncertainty values varying from ± 1.17% to + 0.47% from the inner and outer radii respectively. An extended Taylor series of uncertainty propagation returned uncertainties varying from + 1.82% to + 0.96%, from the inner and outer radius respectively and increased and decreased a number of times in between. These differences are due to assumptions and simplifications which need to be made when using the Taylor series method and shows that a Monte Carlo simulation analysis offers a better way of quantifying the uncertainties associated with disc to air heat transfer as it is more realistic. Studying the magnitudes of uncertainty allows the analyst to understand the impact that uncertainties in thermal properties can have on calculated values of disc to air heat fluxes and heat transfer coefficients.
机译：在实验性涡轮机械传热领域中，常常会忽略组件和周围流体的热特性不确定性的影响。此处报告的工作使用两种不同的不确定性分析方法来帮助量化这些影响：1）随机蒙特卡洛模拟和2）泰勒级数不确定性传播。这两种方法用于具有湍流状态的稳态无盘试验情况。建模的圆盘由IMI 318钛制成，其内径和外径分别为0.115 m和0.22 m，代表了发动机和试验台的几何形状。圆盘厚度为0.016m。对流边界条件从局部努塞尔特数的相关方程式导出。施加的边界条件导致局部传热系数在大约120 W / m〜2 K到170 W / m〜2 K的范围内。这些传热系数的不确定度在两种不同的不确定性方法之间几乎相同，并且发现为±0.66％。计算出的热通量值在大约1500 W / m〜2和5200 W / m〜2的范围内。蒙特卡洛不确定性方法从内部和外部半径返回的不确定性值分别在±1.17％至+ 0.47％之间。扩展泰勒级数不确定性传播分别从内半径和外半径返回不确定度，范围从+ 1.82％到+ 0.96％，并且在这之间增加和减少了许多次。这些差异是由于使用泰勒级数法时需要进行的假设和简化，并且表明蒙特卡罗模拟分析提供了一种更好的方法来量化与圆盘到空气的热传递相关的不确定性，因为这更加现实。通过研究不确定性的大小，分析人员可以了解热特性中的不确定性对圆盘到空气的热通量和传热系数的计算值的影响。

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