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Bi-Fo time scaling method in the numerical simulation of transient conjugate heat transfer
Propulsion and Power Research ( IF 5.3 ) Pub Date : 2021-09-02 , DOI: 10.1016/j.jppr.2021.05.005
Yu Shi , Shuiting Ding , Tian Qiu , Chuankai Liu , Shenghui Zhang

Reliable transient thermal analysis plays a very important role in the engine safety analysis. Transient conjugate heat transfer simulation is an important way of temperature analysis. But there exists a great disparity in the time scales between solid conduction and fluid convection. The calculation cost of transient conjugate heat transfer analysis is very huge because of the tiny time step of computational fluid dynamics. The Bi-Fo time scaling method is proposed to improve the computational efficiency of transient conjugate heat transfer. On the one hand, this method carries out a similar transformation on solid heat conduction, scaling the calculation time with the product of density and specific heat capacity to maintain the consistency of Fourier number. On the other hand, it takes very short time for the fluid domain to recover stability after a boundary disturbance. Based on the above characteristic, the flow time is directly compressed to the same as that of the solid domain. It is verified by Mark Ⅱ vane that increasing the solid thermal diffusivity can reduce the time scale of heat conduction. In the situation of rapidly stable flow field, scaling flow time does not affect the solid thermal boundary under corresponding dimensionless time. Within the application scope, the Bi-Fo time scaling method can greatly reduce the time cost of transient conjugate heat transfer simulation while maintaining the accuracy of transient temperature analysis.



中文翻译:

Bi-Fo时间标度法在瞬态共轭传热数值模拟中的应用

可靠的瞬态热分析在发动机安全分析中起着非常重要的作用。瞬态共轭传热模拟是温度分析的重要途径。但固体传导和流体对流在时间尺度上存在很大差异。由于计算流体动力学的时间步长很小,瞬态共轭传热分析的计算成本非常大。提出Bi-Fo时间标度方法以提高瞬态共轭传热的计算效率。一方面,该方法对固体热传导进行了类似的变换,用密度和比热容的乘积缩放计算时间,以保持傅立叶数的一致性。另一方面,边界扰动后,流体域需要很短的时间才能恢复稳定。基于上述特性,直接将流动时间压缩为与固体域相同的流动时间。Mark Ⅱ叶片验证了增加固体热扩散率可以减少热传导的时间尺度。在快速稳定流场的情况下,相应的无量纲时间下,缩放流动时间不影响固体热边界。在应用范围内,Bi-Fo时间标度法可以在保持瞬态温度分析精度的同时,大大降低瞬态共轭传热模拟的时间成本。Mark Ⅱ叶片验证了增加固体热扩散率可以减少热传导的时间尺度。在快速稳定流场的情况下,相应的无量纲时间下,缩放流动时间不影响固体热边界。在应用范围内,Bi-Fo时间标度法可以在保持瞬态温度分析精度的同时,大大降低瞬态共轭传热模拟的时间成本。Mark Ⅱ叶片验证了增加固体热扩散率可以减少热传导的时间尺度。在快速稳定流场的情况下,相应的无量纲时间下,缩放流动时间不影响固体热边界。在应用范围内,Bi-Fo时间标度法可以在保持瞬态温度分析精度的同时,大大降低瞬态共轭传热模拟的时间成本。

更新日期:2021-10-09
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