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Inverse problem of transpiration cooling for estimating wall heat flux by LTNE model and CGM method

机译:用LTNE模型和CGM方法估算壁热通量的蒸腾冷却反问题。

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In this work, a transient inverse problem of transpiration cooling is investigated in detail. The heat flux on the wall to be cooled is estimated by single point temperature measurement. The local thermal non-equilibrium (LTNE) model is utilized to describe the energy conservation of transpiration cooling process, and the conjugate gradient method (CGM) is extended to solve the inverse problem. The accuracy of the solutions of the inverse problem is examined through three given heat fluxes with given measurement errors. The examination shows that with the LTNE model and CGM, satisfactory solutions can be obtained. The influences of the variation in thermal properties, compressibility and the location of sensor on the accuracy of the solutions are analyzed. The analysis indicates that the variation in thermal properties and compressibility should be considered when a large temperature gradient exists, and the sensor location should be as close as possible to the hot wall. The inverse solutions obtained by the measurements of solid and fluid temperatures are compared. Through the comparison, it is found that using the solid temperature measurement as the input of the inverse problem is better than using the fluid temperature measurement.
机译:在这项工作中,蒸腾冷却的瞬态逆问题得到了详细研究。通过单点温度测量可以估算待冷却壁上的热通量。利用局部热非平衡(LTNE)模型来描述蒸腾冷却过程的能量守恒,并扩展了共轭梯度法(CGM)来解决反问题。通过三个给定的热通量和给定的测量误差来检验反问题解的准确性。检查表明,使用LTNE模型和CGM,可以获得令人满意的解决方案。分析了热性质,可压缩性和传感器位置的变化对溶液精度的影响。分析表明,当存在较大的温度梯度时,应考虑热性能和可压缩性的变化,并且传感器的位置应尽可能靠近热壁。比较了通过测量固体和流体温度获得的逆解。通过比较发现,使用固体温度测量作为反问题的输入要比使用流体温度测量更好。

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