Starting flow in regular polygonal ducts

被引：1
|
作者：
Wang, C. Y. [1 ,2 ]
机构：
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[2] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA
来源：
FLUID DYNAMICS RESEARCH | 2016年 / 48卷 / 03期
关键词：
starting; duct; regular polygon; Helmholtz; PLATES; VIBRATION; WALLS;
D O I：
10.1088/0169-5983/48/3/035505
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The starting flows in regular polygonal ducts of S = 3, 4, 5, 6, 8 sides are determined by the method of eigenfunction superposition. The necessary S-fold symmetric eigenfunctions and eigenvalues of the Helmholtz equation are found either exactly or by boundary point match. The results show the starting time is governed by the first eigenvalue.
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页数：14
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