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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[1] Kármán,Th.,Über laminare und turbulente Reibung,Z.Angew.Math.Mech.,J.Appl.Math.Mech..Vol.1(1921),233-252. [2] White,F.M.,Viscous Fluid Flow(First Edit),McGraw-Hill Book Company(1974). [3] Thiriot,K-H.,Über die laminare Anlaufströmung einer Flüssigkeit über einem rotierenden Boden bei plötzleicher Änderung des Drehungzustandes,Z.Angew.Math.Mech.,J.Appl.Math.Mech.,Vol.20(1940),1-12. [4] Dorfman,L.A.(Translated by Kemmer),Hydrodynamic Resistance and the Heat Loss of Rotating Solids,Oliver and Boyd Press(1963),31. [5] 洛强斯基,《层流边界层》,王殿濡等译自俄文,国防工业出版社,北京(1965). [6] Watson,E.J.,Boundary layer growth,Proc.Roy.Soc.A 231(1955),104-116. [7] 陈允明,非定常温度边界层,力学与实践,1,1(1979). -
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