POTENTIAL FLOW AROUND TWO CIRCULAR CYLINDERS

被引：0
|
作者：
Maklakov, D. V. [1 ]
Petrov, A. G. [2 ]
机构：
[1] Kazan Volga Reg Fed Univ, Lobachevsky Inst Math & Mech, Kazan, Russia
[2] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow, Russia
来源：
JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2023年 / 64卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
potential flow; complex potential; circulation; theta functions;
D O I：
10.1134/S0021894423030100
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The two-dimensional problem of potential flow around two circular cylinders is considered. The velocity at infinity, circulations around the cylinders, and the radii and relative position of the cylinders are given. Exact analytical formulas for the complex potential and the complex conjugate velocities are derived in terms of the Jacobi theta functions. The circulations around the cylinders are uniquely determined using Goldshtik's minimax principle: the circulations must be chosen so that the maximum fluid velocity in the stream is minimal.
引用
收藏
页码：442 / 454
页数：13
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