Stability of transient natural convection in impulsively heated inclined fluid layer

被引：3

作者：

Arora, Manisha ^{[1
]}

Bajaj, Renu ^{[1
]}

机构：

[1] Panjab Univ Chandigarh, Ctr Adv Study Math, Chandigarh, India

来源：

FLUID DYNAMICS RESEARCH | 2020年 / 52卷 / 05期

关键词：

inclined fluid layer; convection; non-linear stability; impulsive heating; transient state; LINEAR-STABILITY; FLOW; BUOYANCY; DRIVEN; INSTABILITIES; ONSET;

D O I：

10.1088/1873-7005/abad8b

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The stability of the transient state of convection in an inclined fluid layer on heating one of the boundaries impulsively has been discussed. The closed form time dependent basic solutions for the velocity and the temperature are obtained. The non-linear stability of the transient state is investigated by using the energy method. The stability limit for the Rayleigh number Ra is found at different times. The competition between the buoyancy and the shear forces determines a value of the angle of inclination corresponding to which the layer is the least stable. The effect of the Prandtl number Pr on the stability boundary is investigated.

引用

页数：18

共 31 条

[1]

[Anonymous], 2010, Thermal Convection: Patterns, Evolution and Stability

[2]

Arora M., 2020, Int. J. Appl. Comput. Math, V6, P21, DOI [10.1007/s40819-020-0780-2, DOI 10.1007/S40819-020-0780-2]

[3]

Carslaw HS, 1959, CONDUCTION HEAT SOLI

[4]

Chandrasekhar S., 2013, Hydrodynamic and Hydromagnetic Stability

[5] THE INFLUENCE OF INITIAL CONDITION ON THE LINEAR-STABILITY OF TIME-DEPENDENT CIRCULAR COUETTE-FLOW [J].

CHEN, JC ;

NEITZEL, GP ;

JANKOWSKI, DF .

PHYSICS OF FLUIDS, 1985, 28 (02) :749-751

[6] TRANSITION TO TIME-DEPENDENT CONVECTION [J].

CLEVER, RM ;

BUSSE, FH .

JOURNAL OF FLUID MECHANICS, 1974, 65 (OCT2) :625-645

[7] INSTABILITIES OF LONGITUDINAL CONVECTION ROLLS IN AN INCLINED LAYER [J].

CLEVER, RM ;

BUSSE, FH .

JOURNAL OF FLUID MECHANICS, 1977, 81 (JUN9) :107-127

[8] Pattern formation in inclined layer convection [J].

Daniels, KE ;

Plapp, BB ;

Bodenschatz, E .

PHYSICAL REVIEW LETTERS, 2000, 84 (23) :5320-5323

[9] Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability [J].

Falsaperla, Paolo ;

Giacobbe, Andrea ;

Mulone, Giuseppe .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 475 (2223)

[10] MIXED-MODE CONVECTION IN AN INCLINED SLOT [J].

FUJIMURA, K ;

KELLY, RE .

JOURNAL OF FLUID MECHANICS, 1993, 246 :545-568

← 1 2 3 4 →