Since boundary layer combustion is an effective method to reduce skin friction in supersonic flow-fields, effects of the combustion on typical pressure gradient flow fields are numerically investigated using Reynolds-averaged Navier-Stokes (RANS) simulations. RANS method is validated by comparing the numerical results with the conducted experimental data. Wall heat flux of combustion case is reduced rather than increased although the flame is restricted in boundary layer, especially in adverse pressure gradient state. Compared with the results of no-injection cases, great skin-friction reduction can be obtained by boundary layer combustion, and further reduction can be achieved as pressure gradient increase. Then, the reduction mechanism is analyzed in details. Due to low viscosity gas injection and decline of velocity gradient, the skin friction level is reduced. Moreover, the component of shear stress, Reynolds stress, is decreased due to low density caused by combustion. Additionally, wall velocity laws of combustion coupled with pressure gradient are explored. The results show that the corrected White and Christoph's law is appropriate for velocity description even in sub-layer because the parameters used in the law are obtained at wall and modified by combustion heat release. The research popularizes the application of boundary layer combustion to common pressure gradient situation, and gives advice on wall function selection of turbulent boundary layer combustion.

由于边界层燃烧是减少超音速流场中蒙皮摩擦的有效方法，因此使用雷诺平均Navier-Stokes（RANS）模拟对燃烧对典型压力梯度流场的影响进行了数值研究。通过将数值结果与进行的实验数据进行比较，验证了RANS方法的有效性。尽管火焰限制在边界层中，特别是在不利的压力梯度状态下，燃烧箱的壁热通量却减少而不是增加。与不喷射情况相比，通过边界层燃烧可以大大降低皮肤摩擦，并且随着压力梯度的增加，可以进一步降低皮肤摩擦。然后，详细分析了还原机理。由于低粘度气体注入和速度梯度下降，皮肤摩擦力降低。此外，由于燃烧引起的低密度，剪切应力的成分雷诺应力降低了。此外，探索了壁速燃烧规律与压力梯度。结果表明，修正的怀特和克里斯托夫定律即使在子层中也适用于速度描述，因为该定律中使用的参数是在壁上获得的，并通过燃烧放热进行修改。该研究将边界层燃烧的应用推广到常见的压力梯度情况，并为湍流边界层燃烧的壁函数选择提供了建议。探索了壁速度燃烧规律与压力梯度的关系。结果表明，修正的怀特和克里斯托夫定律即使在子层中也适用于速度描述，因为该定律中使用的参数是在壁上获得的，并通过燃烧放热进行修改。该研究将边界层燃烧的应用推广到常见的压力梯度情况，并为湍流边界层燃烧的壁函数选择提供了建议。探索了壁速度燃烧规律与压力梯度的关系。结果表明，修正的怀特和克里斯托夫定律即使在子层中也适用于速度描述，因为该定律中使用的参数是在壁上获得的，并通过燃烧放热进行修改。该研究将边界层燃烧的应用推广到常见的压力梯度情况，并为湍流边界层燃烧的壁函数选择提供了建议。