Proceedings of the KSME Conference (대한기계학회:학술대회논문집)
- 2002.08a
- /
- Pages.329-332
- /
- 2002
Energy transport analysis for the Taylor-Proudman column in la rapidly-rotating compressible fluid
압축성 회전 유동에서의 Taylor-Proudman 기둥의 에너지 전달에 관한 해석
Abstract
A theoretical study is made of the steady flow of a compressible fluid in a rapidly rotating finite cylinder. Flow is generated by imposing mechanical and/or thermal disturbances at the rotating endwall disks. Both the Ekman and Rossby numbers are small. A detailed consideration is given to the energy budget for a control volume in the Ekman boundary layer. A combination of physical variables, which is termed the energy contents, consisting of temperature and modified angular momentum, emerges to be relevant. The distinguishing features of a compressible fluid, in contrast to those of an incompressible fluid, are noted. For the Taylor-Proudman column to be sustained, in the interior, it is shown that the net energy transport between the solid disk wall and the interior fluid should vanish. Physical rationalizations are facilitated by resorting to the concept of the afore-stated energy content.
Keywords