Abstract In this article, a new interpolation method is developed for the Lagrangian statistics in the non-isothermal gas-solid flow. The Lagrangian statistics are inseparable from interpolation, especially the optimal interpolation. The new interpolation method in this article is developed based on the smooth Dirac delta function, which is also called delta function interpolation method (DFIM). The performance of DFIM is compared with that of the spectral interpolation method (the interpolation method with the highest precision). The comparison results indicate that the performance of DFIM, especially the DFIM, is superior. The Lagrangian statistics method is one of the most effective methods for heat transfer analysis in the gas-solid flow. For the heat transfer analysis of gas-solid flow in this article, the relevant Lagrangian statistics are evaluated based on the newly developed DFIM, which include the temperature autocorrelation, the velocity autocorrelation, the second-order Lagrangian structure function, and the temperature velocity correlation function. The effect of the particle inertia on the heat transfer of the gas-solid flow is considered based on these Lagrangian statistics. The results show that the particle inertia has a great effect on the heat transfer in the gas-solid flow. As the particle inertia increases, the heat transfer in the gas-solid flow increases obviously. These results are helpful to understand the thermal behavior of the gas-solid flow. Highlights New interpolation method is developed for the Lagrangian statistics in non-isothermal gas-solid flow. Based on the relevant Lagrangian statistics, the heat transfer in the gas-solid flow is analyzed. The DFIM is much less computational cost than the spectral interpolation method.

中文翻译：

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一种新的非等温气固流拉格朗日统计插值方法

摘要 本文针对非等温气固流中的拉格朗日统计发展了一种新的插值方法。拉格朗日统计离不开插值，尤其是最优插值。本文中新的插值方法是在平滑狄拉克 delta 函数的基础上发展起来的，也称为 delta 函数插值法（DFIM）。DFIM 的性能与频谱插值法（精度最高的插值法）的性能进行了比较。比较结果表明DFIM，尤其是DFIM的性能更优。拉格朗日统计方法是气固流动传热分析中最有效的方法之一。对于本文中气固流动的传热分析，相关拉格朗日统计基于新开发的DFIM进行评估，包括温度自相关、速度自相关、二阶拉格朗日结构函数和温度速度相关函数。基于这些拉格朗日统计，考虑了粒子惯性对气固流传热的影响。结果表明，粒子惯性对气固流中的传热影响很大。随着粒子惯性的增加，气固流中的传热明显增加。这些结果有助于理解气固流动的热行为。亮点 为非等温气固流中的拉格朗日统计开发了新的插值方法。基于相关的拉格朗日统计，分析了气固流中的传热。DFIM 的计算成本远低于频谱插值方法。