Effect of cross diffusion on double diffusive convection in the presence of horizontal gradients

被引:40
作者
Malashetty, MS [1 ]
Gaikwad, SN [1 ]
机构
[1] Gulbarga Univ, Dept Math, Gulbarga 585106, India
关键词
convection; double diffusion; cross diffusion; stability;
D O I
10.1016/S0020-7225(01)00097-0
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The effect of cross diffusion namely Soret coefficient and Dufour coefficient on the double diffusive convection in an unbounded vertically stratified two component system with compensating horizontal thermal and solute gradients is investigated in this paper. The conditions for the onset of stationary instability and oscillatory instability are established by the use of normal mode analysis. The effect of various physical parameters on the stability of the system is shown graphically. It is shown that the maximum growth rate of instability, the slope of the wave front and the wave number depend on both Soret and Dufour parameters. We also found the flux ratio corresponding to the maximum growth rate. Some of the known results of the former problems are deduced as special cases. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:773 / 787
页数:15
相关论文
共 13 条
[1]   ON THERMOHALINE CONVECTION WITH LINEAR GRADIENTS [J].
BAINES, PG ;
GILL, AE .
JOURNAL OF FLUID MECHANICS, 1969, 37 :289-&
[2]   DOUBLE-DIFFUSIVE CONVECTION [J].
HUPPERT, HE ;
TURNER, JS .
JOURNAL OF FLUID MECHANICS, 1981, 106 (MAY) :299-329
[3]   SORET-DRIVEN THERMOSOLUTAL CONVECTION [J].
HURLE, DTJ .
JOURNAL OF FLUID MECHANICS, 1971, 47 (JUN29) :667-&
[4]   SORET COEFFICIENT AND THE 2-COMPONENT BENARD CONVECTION IN THE BENZENE-METHANOL SYSTEM [J].
LEGROS, JC ;
GOEMAERE, P ;
PLATTEN, JK .
PHYSICAL REVIEW A, 1985, 32 (03) :1903-1905
[5]   DOUBLE-DIFFUSIVE CONVECTION CAUSED BY COUPLED MOLECULAR-DIFFUSION [J].
MCDOUGALL, TJ .
JOURNAL OF FLUID MECHANICS, 1983, 126 (JAN) :379-397
[6]  
OLIVER SK, 1992, J FLUID MECH, V242, P99
[7]   THERMOHALINE INSTABILITY WITH THERMAL-DIFFUSION AND HORIZONTAL GRADIENTS [J].
PARVATHY, CP ;
PATIL, PR .
APPLIED SCIENTIFIC RESEARCH, 1988, 45 (02) :163-178
[8]  
Platten J. K., 1984, CONVECTION LIQUIDS
[9]   CROSS-DIFFUSION EFFECTS ON THE STABILITY-CRITERIA IN A TRIPLY DIFFUSIVE SYSTEM [J].
TERRONES, G .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (09) :2172-2182
[10]   CONVECTIVE STABILITY OF GRAVITY-MODULATED DOUBLY CROSS-DIFFUSIVE FLUID LAYERS [J].
TERRONES, G ;
CHEN, CF .
JOURNAL OF FLUID MECHANICS, 1993, 255 :301-321