【正】 The dynamical properties of a fluid between two concentric rotating spheres, when the angular velocities of the spheres are only slightly different and the Reynold number R of the flow is large, have been consi...【正】 The dynamical properties of a fluid between two concentric rotating spheres, when the angular velocities of the spheres are only slightly different and the Reynold number R of the flow is large, have been considered. We only discuss the boundary layers on the two spheres. Original problem can be reduce into a perturbation problem. The first order asymptotic solutions have been obtained by K.Stewartson . In this paper, we use perturbation methods to get not only the firstorder uniformly valid asymptotic solutions but also the second-order uniformly valid asymptotic solutions.展开更多
文摘【正】 The dynamical properties of a fluid between two concentric rotating spheres, when the angular velocities of the spheres are only slightly different and the Reynold number R of the flow is large, have been considered. We only discuss the boundary layers on the two spheres. Original problem can be reduce into a perturbation problem. The first order asymptotic solutions have been obtained by K.Stewartson . In this paper, we use perturbation methods to get not only the firstorder uniformly valid asymptotic solutions but also the second-order uniformly valid asymptotic solutions.