A CONTRIBUTION TO THE TAYLOR-COUETTE FLOW PROBLEM

被引：3

作者：

GREEN, AE ^{[1
]}

NAGHDI, PM ^{[1
]}

机构：

[1] UNIV CALIF BERKELEY,DEPT MECH ENGN,BERKELEY,CA 94720

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1992年 / 439卷 / 1906期

关键词：

D O I：

10.1098/rspa.1992.0146

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The main purpose of this paper is to present some analytical solutions for the Taylor-Couette flow problem of vortex-cell formation in the gap bounded by two concentric rotating circular cylinders of finite length. The solutions are obtained by using the basic equations of the mechanical part of the theory of a Cosserat point with any number of directors, the general thermomechanical formulation of which has been given recently by Green & Naghdi (Q. Jl Mech. appl. Math 44, 335-355 (1991)). Several special solutions are given for a particular cylinder geometry and Reynolds number of flow to compare with the experimental results of Benjamin & Mullin (J. Fluid Mech. A 121, 219-230 (1982)). Flow stability and other possible types of solutions are also briefly discussed.

引用

页码：227 / 245

页数：19

共 50 条

[21] Bubble dissolution in Taylor-Couette flow
Gennari, Gabriele
Jefferson-Loveday, Richard
Pickering, Stephen J.
George, Michael W.
[J]. JOURNAL OF FLUID MECHANICS, 2024, 999
[22] Ultimate Turbulent Taylor-Couette Flow
Huisman, Sander G.
van Gils, Dennis P. M.
Grossmann, Siegfried
Sun, Chao
Lohse, Detlef
[J]. PHYSICAL REVIEW LETTERS, 2012, 108 (02)
[23] HOMOCLINIC DYNAMICS IN TAYLOR-COUETTE FLOW
OHLE, F
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1994, 74 (05): : T398 - T399
[24] New flow regime in a Taylor-Couette flow
Lim, T.T.
Chew, Y.T.
Xiao, Q.
[J]. Physics of Fluids, 1998, 10 (12):
[25] Localized spirals in Taylor-Couette flow
Heise, M.
Abshagen, J.
Kueter, D.
Hochstrate, K.
Pfister, G.
Hoffmann, Ch.
[J]. PHYSICAL REVIEW E, 2008, 77 (02):
[26] A new flow regime in a Taylor-Couette flow
Lim, TT
Chew, YT
Xiao, Q
[J]. PHYSICS OF FLUIDS, 1998, 10 (12) : 3233 - 3235
[27] SYMMETRY AND STABILITY IN TAYLOR-COUETTE FLOW
GOLUBITSKY, M
STEWART, I
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (02) : 249 - 288
[28] Shear instabilities in Taylor-Couette flow
Meseguer, A.
Mellibovsky, F.
Marques, F.
Avila, M.
[J]. ADVANCES IN TURBULENCE XII - PROCEEDINGS OF THE 12TH EUROMECH EUROPEAN TURBULENCE CONFERENCE, 2009, 132 : 115 - 118
[29] Transient Growth of Perturbation Energy in the Taylor-Couette Problem with Radial Flow
Chen Cheng
Guo Zhi-Wei
Wang Bo-Fu
Sun De-Jun
[J]. CHINESE PHYSICS LETTERS, 2011, 28 (05)
[30] Energy transient growth in the Taylor-Couette problem
Meseguer, A
[J]. PHYSICS OF FLUIDS, 2002, 14 (05) : 1655 - 1660

← 1 2 3 4 5 →