论文标题
使用光谱搭配法的渐近吸力边界层的时间稳定性
Temporal stability of asymptotic suction boundary layer with spectral collocation method
论文作者
论文摘要
在本文中，研究了不可压缩的渐近吸力边界层的线性稳定性理论。在空间方向上引入了一个小小的干扰，以各种波数$α= 0.01-0.3 $进行层流基底流，以研究其时间稳定性。使用频谱搭配方法来解决广义特征值问题的四阶普通微分方程（ODE）。从中性稳定性曲线中，结果表明，关键的雷诺数发生在$ re_ {c} = 47145 $，对于$α= 0.161 $。通过考虑到朝向方向传播的干扰，可以延迟过渡。
In this paper, the linear stability theory of an incompressible asymptotic suction boundary layer was studied. A small disturbance was introduced spatially in a streamwise direction to the laminar base flow with various wavenumber $α= 0.01 - 0.3$ to investigate its temporal stability. A spectral collocation method was used to solve the fourth-order ordinary differential equation (ODE) of the generalized eigenvalues problem. From the neutral stability curve, the result showed that the critical Reynolds number occurred at $Re_{c}= 47145$ for $α=0.161$. By taking into account that the disturbance traveled in spanwise direction, the transition can be delayed.
