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.

引用

页数：14