Weakly non-linear analysis of Rayleigh-Benard convection with time periodic heating

被引：21

作者：

Bhadauria, B. S. ^{[1
]}

Bhatia, P. K. ^{[1
]}

Debnath, Lokenath ^{[2
]}

机构：

[1] Jai Narain Vyas Univ, Dept Math & Stat, Fac Sci, Jodhpur 342005, Rajasthan, India

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2009年 / 44卷 / 01期

关键词：

Thermal convection; Modulation; Rayleigh number; Non-linear stability; THERMAL-CONVECTION; CELLULAR CONVECTION; STABILITY; INSTABILITY; MODULATION; ONSET;

D O I：

10.1016/j.ijnonlinmec.2008.08.009

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of a horizontal layer of fluid heated from below as well as from above is examined. The temperature gradient between the walls of the fluid layer consists of a steady part and a time-dependent part, which is oscillatory. The amplitude of temperature modulation is delta. By considering the weakly non-linear analysis, it is shown that the modulation produces a range of stable hexagons near the critical Rayleigh number. Some comparisons have been made with the other theoretical results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：58 / 65

页数：8

共 17 条

[1] Effect of modulation on thermal convection instability [J].

Bhatia, PK ;

Bhadauria, BS .

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2000, 55 (11-12) :957-966

[2] STABILITY OF FINITE AMPLITUDE CELLULAR CONVECTION AND ITS RELATION TO AN EXTREMUM PRINCIPLE [J].

BUSSE, FH .

JOURNAL OF FLUID MECHANICS, 1967, 30 :625-&

[3]

Chandrasekhar S., 1981, HYDRODYNAMIC HYDROMA

[4] EFFECTS OF SURFACE CURVATURE AND PROPERTY VARIATION ON CELLULAR CONVECTION [J].

DAVIS, SH ;

SEGEL, LA .

PHYSICS OF FLUIDS, 1968, 11 (03) :470-&

[5] PATTERN SELECTION IN SINGLE-COMPONENT SYSTEMS COUPLING BENARD CONVECTION AND SOLIDIFICATION [J].

DAVIS, SH ;

MULLER, U ;

DIETSCHE, C .

JOURNAL OF FLUID MECHANICS, 1984, 144 (JUL) :133-151

[6]

DAVIS SH, 1970, J FLUID MECH, V45, P33

[7] ONSET OF INSTABILITY IN A FLUID LAYER HEATED SINUSOIDALLY FROM BELOW [J].

FINUCANE, RG ;

KELLY, RE .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1976, 19 (01) :71-85

[8]

Gershuni G.Z., 1963, J. Appl. Math. Mech.-USS, V27, P1197, DOI DOI 10.1016/0021-8928(63)90062-5

[9]

Koschmieder E.L., 1993, Benard Cells and Taylor Vortices

[10]

MAIKUS WVR, 1958, J FLUID MECH, V4, P225

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