This paper introduces the Bayesian mass average and details its computation. Owing to the complexity of flow in an engine and the limited instrumentation and the precision of the sensor apparatus used, it is difficult to rigorously calculate mass averages. Building upon related work, this paper views any thermodynamic quantity's spatial variation at an axial plane in an engine (or a rig) as a Gaussian random field. In cases where the mass flow rate is constant in the circumferential direction but can be expressed via a polynomial or spline radially, this paper presents an analytical calculation of the Bayesian mass average. In cases where the mass flow rate itself can be expressed as a Gaussian random field, a sampling procedure is presented to calculate the Bayesian mass average. Examples of the calculation of the Bayesian mass average for temperature are presented, including with a real engine case study where velocity profiles are inferred from stagnation pressure measurements.
翻译:本文介绍贝叶斯质量平均值及其计算细节。 由于发动机流动的复杂性以及仪器有限和传感器设备精确性,很难严格计算质量平均值。 在相关工作的基础上,本文将发动机(或钻机)轴平面上的任何热动力量空间变化视为高斯随机场。如果质量流动率在环绕方向上保持不变,但可以通过多球或圆柱形显示,本文则对贝叶斯平均质量进行分析计算。如果质量流动率本身可以以高斯随机场的形式表示,则介绍一个取样程序来计算巴伊斯平均质量值。介绍了贝伊斯平均温度的计算实例,包括一项真正的引擎案例研究,其中从悬浮压力测量中推断出速度特征。