Numerical Simulation of Chaotic Natural Convection in a Differentiated Closed Square Cavity

被引：10

作者：

Aklouche-Benouaguef, S. ^{[1
]}

Zeghmati, B. ^{[2
]}

Bouhadef, K. ^{[1
]}

机构：

[1] USTHB, Lab Transports Polyphas & Milieux Poreux, Algiers, Algeria

[2] Univ Perpignan, Lab Math & PhyS, F-66860 Perpignan, France

来源：

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2014年 / 65卷 / 03期

关键词：

TRANSITION; ENCLOSURE; TEMPERATURE; ATTRACTORS; DRIVEN; SIDE; WALL;

D O I：

10.1080/10407782.2013.826113

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This article reports a numerical study on the roads to chaos for a transient laminar natural convection in a square enclosure with horizontal adiabatic walls. The other walls, composed of two regions of the same size, were assumed isothermal. Transfer equations were solved using the vorticity-stream function formulation. The effects of Rayleigh number on heat transfer were also analyzed, and the roads to chaos borrowed by the convective flow. As the Rayleigh number increased, the flow structure started from four-cells to oscillatory three-cells. The first Hopf bifurcation was observed. Quasi-periodic flows appeared before the chaos onset.

引用

页码：229 / 246

页数：18

共 33 条

[1]

Berge P., 1998, ORDRE CHAOS, P109

[2] Non-linear dynamics and pattern formation in a vertical fluid layer heated from the side [J].

Bratsun, DA ;

Zyuzgin, AV ;

Putin, GF .

INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2003, 24 (06) :835-852

[3] COMPARATIVE ANALYSIS OF THERMAL MODELS IN THE LATTICE BOLTZMANN METHOD FOR THE SIMULATION OF NATURAL CONVECTION IN A SQUARE CAVITY [J].

Choi, Seok-Ki ;

Kim, Seong-O .

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2011, 60 (02) :135-145

[4]

DEVAHLDAVIS G, 1983, INT J NUMER METH FL, V3, P249, DOI DOI 10.1002/FLD.1650030305

[5] COMBINED EFFECTS OF RADIATION AND NATURAL CONVECTION IN A SQUARE CAVITY SUBMITTED TO TWO COMBINED MODES OF CROSS GRADIENTS OF TEMPERATURE [J].

El Ayachi, R. ;

Raji, A. ;

Hasnaoui, M. ;

Naimi, M. ;

Abdelbaki, A. .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2012, 62 (11) :905-931

[6] THE TRANSITION TO APERIODIC BEHAVIOR IN TURBULENT SYSTEMS [J].

FEIGENBAUM, MJ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 77 (01) :65-86

[7] MANY ROUTES TO TURBULENT CONVECTION [J].

GOLLUB, JP ;

BENSON, SV .

JOURNAL OF FLUID MECHANICS, 1980, 100 (OCT) :449-470

[8] CHARACTERIZATION OF STRANGE ATTRACTORS [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1983, 50 (05) :346-349

[9] The second largest Lyapunov exponent and transition to chaos of natural convection in a rectangular cavity [J].

Ishida, Hideshi ;

Kawase, Shojiro ;

Kimoto, Hideo .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (25-26) :5035-5048

[10] EXPERIMENTS ON TRANSIENT NATURAL-CONVECTION IN A CAVITY [J].

IVEY, GN .

JOURNAL OF FLUID MECHANICS, 1984, 144 (JUL) :389-401

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