突然开始旋转的圆盘上的三维非定常边界层
The Three-Dimensional Unsteady Boundary Layer over an Impulsively Started Rotating Disk
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摘要: 本文研究突然以常角速度ω开始旋转的圆盘上的三维非定常边界层.先求级数展开再用隐式差分把它延拓,得出了从ωt=0时的涡线扩散连续过渡到Kármán定常解的完整解答.最后给出了力矩系数cM,来流速度w(∞),物面流线倾角随时间ωt的变化以及与实验点的比较.Abstract: The unsteady boundary layer over an impulsively started rotating disk is studied, a complete solution describing the smooth transition from vortex diffusion at ωt=0 to Kármán's steady solution is obtained by series expansion and its numerical continuation. The angle of body streamlines, together with experimental values, are given as the function of time t as well as the moment coefficient CM and on-coming velocity ω(∞).
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