Global stability of natural convection in internally heated inclined fluid layer

被引:10
作者
Arora, Manisha [1 ]
Bajaj, Renu [1 ]
机构
[1] Panjab Univ, Ctr Adv Study Math, Chandigarh, India
关键词
Energy method; Inclined fluid layer; Internal heating; Nonlinear stability; Viscous fluid; THERMAL-CONVECTION; HORIZONTAL LAYERS; POROUS LAYER; INSTABILITIES; GENERATION;
D O I
10.1007/s10665-021-10127-1
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Energy stability theory is applied to the study of the nonlinear stability of natural convection in an inclined fluid layer having a uniform internal heat source (sink), with the boundaries of the layer maintained at constant temperatures. The stability limit is found in terms of the thermal Rayleigh number R-1 and the internal Rayleigh number R-2. The region of stability is found in R-1-R-2 plane where the base state is stable against arbitrary perturbations. The Prandtl number Pr of the fluid and the angle of inclination of the fluid layer play an important role in determining the stability region.
引用
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页数:13
相关论文
共 31 条
[1]  
Arora M., 2020, International Journal of Applied and Computational Mathematics, V6, P1
[2]   Stability of transient natural convection in impulsively heated inclined fluid layer [J].
Arora, Manisha ;
Bajaj, Renu .
FLUID DYNAMICS RESEARCH, 2020, 52 (05)
[3]   Coupling mantle convection and tidal dissipation: Applications to Enceladus and Earth-like planets [J].
Behounkova, Marie ;
Tobie, Gabriel ;
Choblet, Gael ;
Cadek, Ondrej .
JOURNAL OF GEOPHYSICAL RESEARCH-PLANETS, 2010, 115
[4]  
Chandrasekhar S., 1961, HYDRODYNAMIC HYDROMA
[5]   EXCHANGE OF STABILITIES, SYMMETRY, AND NONLINEAR STABILITY [J].
GALDI, GP ;
STRAUGHAN, B .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 89 (03) :211-228
[6]   On the stability of carbon sequestration in an anisotropic horizontal porous layer with a first-order chemical reaction [J].
Gautam, K. ;
Narayana, P. A. L. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 475 (2226)
[7]   STABILITY OF PLANE-PARALLEL CONVECTIVE MOTION DUE TO INTERNAL HEAT SOURCES [J].
GERSHUNI, GZ ;
ZHUKHOVITSKY, EM ;
YAKIMOV, AA .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1974, 17 (07) :717-726
[8]   STABILITY OF STEADY CONVECTIVE MOTION GENERATED BY INTERNAL HEAT SOURCES [J].
GERSHUNI, GZ ;
ZHUKOVIT.EM ;
IAKIMOV, AA .
JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1970, 34 (04) :669-&
[9]  
Goluskin D., 2016, INTERNALLY HEATED CO, DOI DOI 10.1007/978-3-319-23941-5
[10]   Instabilities in Viscosity-Stratified Flow [J].
Govindarajan, Rama ;
Sahu, Kirti Chandra .
ANNUAL REVIEW OF FLUID MECHANICS, VOL 46, 2014, 46 :331-353