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Turbulent boundary layer flow subject to streamwise oscillation of spanwise wall-velocity

机译:湍流边界层流受展向壁速的流向振荡

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Direct numerical simulations have been performed to study the effect of a stationary distribution of spanwise wall-velocity that oscillates in the streamwise direction on a turbulent boundary layer. For the first time, a spatially developing flow with this type of forcing is studied. The part of the boundary layer which flows over the alternating wall-velocity section is greatly affected with a drag reduction close to 50% which exhibits an oscillatory distribution with a wavenumber which is twice that of the imposed wall-velocity. The maximum in drag reduction occurs where the wall velocity is at its maximum (or minimum) and the minimum occurs where the wall velocity is zero. Comparisons of the mean spanwise velocity profiles with the analytical solution to the laminar Navier-Stokes equations show very good agreement. The streamwise velocity profile indicates a thickening of the viscous sub-layer when scaled with the local friction velocity and an upward shifting of the logarithmic region when scaled with the reference (unmanipulated) friction velocity. An estimation of the idealized power consumption shows that-with the present wall forcing magnitude-more energy is required for the spatial oscillation than what is saved by drag reduction.
机译:已经进行了直接数值模拟以研究在湍流边界层上沿流向振荡的展向壁速度的平稳分布的影响。首次研究了具有这种强迫作用的空间发展流动。边界层在交替的壁速度部分上流动的部分受到阻力减小近50%的极大影响,该阻力减小呈现出振荡分布,其波数是所施加的壁速度的两倍。减阻力的最大值发生在壁速度达到最大值(或最小值)时,而最小值发生在壁速度为零时。将平均翼展速度剖面与层状Navier-Stokes方程的解析解进行比较,显示出很好的一致性。当用局部摩擦速度定标时,流向速度曲线表示粘性子层的增厚,而用参考(未操纵)摩擦速度定标时,对数区域向上移动。理想功率消耗的估算表明,在当前壁强作用下,空间振动所需的能量比减阻所节省的能量更多。

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