PATTERN SELECTION IN THE BENARD-PROBLEM FOR A VISCOELASTIC FLUID

被引：18

作者：

RENARDY, M ^{[1
]}

RENARDY, Y ^{[1
]}

机构：

[1] VIRGINIA POLYTECH INST & STATE UNIV,ICAM,BLACKSBURG,VA 24061

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1992年 / 43卷 / 01期

关键词：

D O I：

10.1007/BF00944744

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss pattern selection in the Benard problem for a viscoelastic fluid. Double periodicity of the solutions with respect to a hexagonal lattice is assumed. Both steady and oscillatory onsets of instability are considered. For steady onset, we find that the rolls are the only bifurcating solution which can be stable.

引用

页码：154 / 180

页数：27

共 50 条

[31] CRITICAL EFFECTS IN BENARD-PROBLEM DUE TO TEMPERATURE-DEPENDENT SURFACE TENSIONS
LEBON, G
CLOOT, A
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1983, 404 (MAY) : 43 - 44
[32] Rayleigh-Benard convection of viscoelastic fluid
Demir, H
APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 251 - 267
[33] PERTURBATION ANALYSIS OF STEADY AND OSCILLATORY ONSET IN A BENARD-PROBLEM WITH 2 SIMILAR LIQUIDS
RENARDY, Y
RENARDY, M
PHYSICS OF FLUIDS, 1985, 28 (09) : 2699 - 2708
[34] THE 2/1 STEADY/HOPF MODE INTERACTION IN THE 2-LAYER BENARD-PROBLEM
FUJIMURA, K
RENARDY, YY
PHYSICA D-NONLINEAR PHENOMENA, 1995, 85 (1-2) : 25 - 65
[35] FLOW TRANSITIONS AND PATTERN SELECTION OF THE RAYLEIGH-BENARD PROBLEM IN RECTANGULAR ENCLOSURES
MUKUTMONI, D
YANG, KT
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 1994, 19 : 649 - 670
[36] NON-LINEAR STABILITY OF THE MAGNETIC BENARD-PROBLEM VIA A GENERALIZED ENERGY METHOD
GALDI, GP
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 87 (02) : 167 - 186
[37] NONLINEAR STABILITY ANALYSIS OF THE BENARD-PROBLEM FOR FLUIDS WITH A CONVEX NONINCREASING TEMPERATURE DEPENDING VISCOSITY
CAPONE, F
GENTILE, M
CONTINUUM MECHANICS AND THERMODYNAMICS, 1995, 7 (03) : 297 - 309
[38] MULTIPLE EQUILIBRIUM SOLUTIONS TO THE BENARD-PROBLEM AT THE 3RD CRITICAL RAYLEIGH NUMBER
WILSON, GL
RYDIN, RA
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1989, 15 (01) : 117 - 126
[39] A NON-LINEAR STABILITY ANALYSIS OF THE MAGNETIC BENARD-PROBLEM THROUGH THE LYAPUNOV DIRECT METHOD
RIONERO, S
MULONE, G
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1988, 103 (04) : 347 - 368
[40] A FINITE-ELEMENT STUDY OF THE BENARD-PROBLEM USING PARAMETER-STEPPING AND BIFURCATION SEARCH
JACKSON, CP
WINTERS, KH
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1984, 4 (02) : 127 - 145

← 1 2 3 4 5 →