Convection in Hele-Shaw cell with parametric excitation

被引：36
作者：
Bhadauria, BS
Bhatia, PK
Debnath, L
机构：
[1] Jai Narain Vyas Univ, Dept Math & Stat, Jodhpur 342001, Rajasthan, India
[2] Univ Texas, Dept Math, Edinburg, TX 78539 USA
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2005年 / 40卷 / 04期
关键词：
thermal convection; instability; parametric excitation; Rayleigh number;
D O I：
10.1016/j.ijnonlinmec.2004.07.010
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The linear stability of a thin vertical fluid layer heated from below is considered. Here the gravitational field consists of two parts: a constant part and a time-dependent part varying periodically. The time-dependent part has been expressed in Fourier series. The effect of gravity modulation on the fluid layer is examined. Using an asymptotic analysis the convective threshold has been determined. Some comparisons are made with the known results. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：475 / 484
页数：10
相关论文
共 24 条
[1]   ASYMPTOTIC STUDY AND WEAKLY NONLINEAR-ANALYSIS AT THE ONSET OF RAYLEIGH-BENARD CONVECTION IN HELE-SHAW CELL [J].
ANISS, S ;
SOUHAR, M ;
BRANCHER, JP .
PHYSICS OF FLUIDS, 1995, 7 (05) :926-934
[2]   Asymptotic study of the convective parametric instability in Hele-Shaw cell [J].
Aniss, S ;
Souhar, M ;
Belhaq, M .
PHYSICS OF FLUIDS, 2000, 12 (02) :262-268
[3]   Time-periodic heating of Rayleigh-Benard convection [J].
Bhadauria, BS ;
Bhatia, PK .
PHYSICA SCRIPTA, 2002, 66 (01) :59-65
[4]   Effect of low-frequency modulation on thermal convection instability [J].
Bhatia, PK ;
Bhadauria, BS .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2001, 56 (6-7) :509-522
[5]   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
[6]   2-DIMENSIONAL OSCILLATORY CONVECTION IN A GRAVITATIONALLY MODULATED FLUID LAYER [J].
CLEVER, R ;
SCHUBERT, G ;
BUSSE, FH .
JOURNAL OF FLUID MECHANICS, 1993, 253 :663-680
[7]   3-DIMENSIONAL OSCILLATORY CONVECTION IN A GRAVITATIONALLY MODULATED FLUID LAYER [J].
CLEVER, R ;
SCHUBERT, G ;
BUSSE, FH .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (10) :2430-2437
[8]   STEADY FREE CONVECTION IN A POROUS MEDIUM HEATED FROM BELOW [J].
ELDER, JW .
JOURNAL OF FLUID MECHANICS, 1967, 27 :29-&
[9]   THE INFLUENCE OF SIDEWALLS ON THE ONSET OF CONVECTION IN A HORIZONTAL FLUID LAYER [J].
FRICK, H ;
CLEVER, RM .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1980, 31 (04) :502-513
[10]   EFFECTS OF GRAVITY MODULATION ON STABILITY OF A HEATED FLUID LAYER [J].
GRESHO, PM ;
SANI, RL .
JOURNAL OF FLUID MECHANICS, 1970, 40 :783-&
123