|
|||||
|
|
Stability of the boundary layer on a sphere rotating in still fluid |
|
| Authors: | Dr H Taniguchi Prof Dr R Kobayashi Dr Y Fukunishi |
| Affiliation: | (1) Present address: Department of Machine Intelligence and System Engineering, Tohoku University, Aramaki-Aza-Aoba, Aoba-Ku, 980-77 Sendai;(2) Present address: Department of Mechanical Engineering, Ishinomaki Senshu University, 1, Shinmito, Minamisakai, 986-80 Ishinomaki, Japan;(3) Present address: Department of Mechanical Engineering, Faculty of Engineering, Iwate University, 4-3-5, Ueda, 020-8551 Morioka, Japan |
| Abstract: | Summary A theoretical study of the transition of a three-dimensional boundary layer on a sphere rotating in still fluid is carried out by a linear stability analysis. A set of perturbation equations governing the instability of the flow field is derived assuming the perturbations to be consisting of spiral vortices. It is shown that the critical Reynolds numbers obtained in the present analytical study are close to those observed in experiments. It has been found that the streamline-curvature instability appears in the rotating sphere flow. It is also shown that the cross-flow instability is dominant near the poles of a sphere while the streamline-curvature instability overtakes near the equator. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |