Effect of modulation on thermal convection instability

被引：30

作者：

Bhatia, PK ^{[1
]}

Bhadauria, BS ^{[1
]}

机构：

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

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2000年 / 55卷 / 11-12期

关键词：

D O I：

10.1515/zna-2000-11-1222

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The linear stability problem for a fluid in a classic Benard configuration is considered. The applied temperature gradient is the sum of a steady component and a time-dependent periodic component. Only infinitesimal disturbances are considered. The time-dependent perturbation is expressed in Fourier series. The shift in critical Rayleigh number is calculated and the modulating effect of the oscillatory temperature gradient on the stability of the fluid layer is examined. Some comparison is made with known results.

引用

页码：957 / 966

页数：10

共 16 条

[1] Asymptotic study of the convective parametric instability in Hele-Shaw cell
Aniss, S
Souhar, M
Belhaq, M
[J]. PHYSICS OF FLUIDS, 2000, 12 (02) : 262 - 268
[2] Chandrasekhar S., 1981, HYDRODYNAMIC HYDROMA
[3] EXPERIMENTS ON STABILITY OF VISCOUS FLOW BETWEEN ROTATING CYLINDERS .3. ENHANCEMENT OF STABILITY BY MODULATION
DONNELLY, RJ
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1964, 281 (1384) : 130 - +
[4] ONSET OF INSTABILITY IN A FLUID LAYER HEATED SINUSOIDALLY FROM BELOW
FINUCANE, RG
KELLY, RE
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1976, 19 (01) : 71 - 85
[5] Gershuni G., 1963, J APPL MATH MECH, V27, P1197, DOI [10.1016/0021-8928(63)90062-5, DOI 10.1016/0021-8928(63)90062-5]
[6] EFFECTS OF GRAVITY MODULATION ON STABILITY OF A HEATED FLUID LAYER
GRESHO, PM
SANI, RL
[J]. JOURNAL OF FLUID MECHANICS, 1970, 40 : 783 - &
[7] CONVECTIVE INSTABILITIES IN PLANE COUETTE FLOW
INGERSOLL, AP
[J]. PHYSICS OF FLUIDS, 1966, 9 (04) : 682 - +
[8] THE TRANSITION FROM ROLL TO SQUARE-CELL SOLUTIONS IN RAYLEIGH-BENARD CONVECTION
JENKINS, DR
PROCTOR, MRE
[J]. JOURNAL OF FLUID MECHANICS, 1984, 139 (FEB) : 461 - 471
[9] THE ONSET OF RAYLEIGH-BENARD CONVECTION IN NONPLANAR OSCILLATORY FLOWS
KELLY, RE
HU, HC
[J]. JOURNAL OF FLUID MECHANICS, 1993, 249 : 373 - 390
[10] KRISHNAMURTI RE, 1967, THESIS U CALIFORNIA

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