Abstract The hypersonic laminar kinetic energy transition model is developed to be appropriate for crossflow induced boundary layer transition prediction. A crossflow timescale is constructed and incorporated in the kT-kL-ω transition model to reflect crossflow effect during three-dimensional boundary layer transition. The stream-wise vorticity is selected as the indicator of crossflow strength. Regarding the inviscid unstable characteristic of crossflow instability, the crossflow timescale is constructed by reference to the second mode timescale. To eliminate inappropriate development of the crossflow timescale where the effective length scale is large enough while the crossflow strength remains at a quite low level, a crossflow velocity limit function is proposed. The revised kT-kL-ω transition model has been applied to HIFiRE-5 and blunt cone with 1°angle of attack test cases. Results show good correspondence with the experimental data and DNS data, which demonstrates that the constructed crossflow timescale makes the revised transition model capable of reproducing crossflow induced transition behavior with a reasonable degree of accuracy.

中文翻译：

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用层流动能转变模型预测错流诱发转变

摘要 建立了适用于横流诱导边界层过渡预测的高超声速层流动能过渡模型。横流时间尺度被构建并包含在 kT-kL-ω 过渡模型中，以反映三维边界层过渡过程中的横流效应。选择流向涡度作为横流强度的指标。针对横流不稳定的无粘性不稳定特性，参照第二模态时标构建横流时标。为了消除在有效长度尺度足够大而横流强度保持在较低水平的横流时间尺度上的不当发展，提出了横流速度限制函数。修改后的 kT-kL-ω 过渡模型已应用于 HIFiRE-5 和具有 1°攻角的钝锥测试案例。结果表明，与实验数据和 DNS 数据具有良好的对应性，这表明构建的横流时间尺度使修正的过渡模型能够以合理的准确度再现横流诱发的过渡行为。