狹長圓形穴槽潛流場之渦心位置與邊壁剪應力

Positions of Vortex Centers and Wall Shear Stresses for a Creeping Flow Field with an Extremely Long Circular Cavity

胡宗義(Tzong-Yih Hwu)

《科學與工程技術期刊》 7卷3期 (2011/09) Pp. 53-59

https://doi.org/10.7117/JSET.201109.0053

摘要

本文利用前人推導之流場流函數解析解，探討以狹長圓柱容器內盛極黏流體之圓形穴槽流動，此流場係由可以做部份轉動之邊界所帶動構成。研究指出具有單渦包結構流線之幾何型態，深受轉動邊界長度之影響。當轉動邊界長度增加，漩渦中心位置將更接近圓柱容器中心處，二者呈現高度非線性函數關係。另文中亦討論容器邊壁剪應力之分佈情形。

關鍵字

流函數 ； 圓形穴槽 ； 單渦包結構 ； 邊壁剪應力

並列摘要

Using the analytic solution of stream function obtained in previous studies, this study resolved the problem of producing flow in a long circular cavity filled with a highly viscous fluid by partially rotating the boundary. The results demonstrated that rotating the boundary length significantly influences the corresponding flow patterns with a one-eddy structure. As the length increases, the vortex center of the eddy approaches the center of the container. The function used to describe the dependences of the vortex center position on the rotating boundary length is highly nonlinear. In addition, the shear stress distribution on the wall is quantitatively discussed.

並列關鍵字

stream-function ； circular cavity ； one-eddy structure ； shear stress on the wall