The celebrated Poincaré (1910) steady solution, the uniform vorticity flow in a precessing spheroid, which is realized in the inviscid interior region outside the boundary layer in the strong spin and weak precession limit, is derived, as a unique solution analytically without any prior assumption on the spatial structure, and its singular behavior for a sphere is resolved. Assuming that the spin and precession axes are respectively parallel and perpendicular to the symmetry axis of the spheroid, we denote the spin and precession angular velocities by ##IMG## [http://ej.iop.org/images/1873-7005/52/1/015513/fdrab693cieqn1.gif] {${{\rm{\Omega }}}_{s}\widehat{{\boldsymbol{x}}}$} and ##IMG## [http://ej.iop.org/images/1873-7005/52/1/015513/fdrab693cieqn2.gif] {${{\rm{\Omega }}}_{p}\widehat{{\boldsymbol{z}}}$} respectively, and define the Reynolds number Re = ##IMG## [htt...] {${a}^{2}{{\rm{\Omega }}}_{s}/\nu $}

中文翻译：

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进动较弱的快速旋转球体中的稳定流动：I

推导著名的庞加莱（1910）稳态解，即旋进球体中的均匀涡流，这是在强旋和弱旋进极限的边界层外部的无粘性内部区域中实现的，作为一种独特的分析方法，无需进行任何先验解决了关于空间结构的假设及其对于球体的奇异行为。假设自旋和旋进轴分别平行和垂直于椭球的对称轴，我们通过## IMG ## [http://ej.iop.org/images/1873-7005来表示自旋和旋进角速度/52/1/015513/fdrab693cieqn1.gif] {$ {{\ rm {\ Omega}}} _ {s} \ widehat {{\ boldsymbol {x}}} $$和## IMG ## [http：/ /ej.iop.org/images/1873-7005/52/1/015513/fdrab693cieqn2.gif] {$ {{\ rm {\ Omega}}} _ {p} \ widehat {{\ boldsymbol {z}}} $}，