| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Cross-diffusive effects on the onset of the double-diffusive convection in a horizontal saturated porous fluid layer heated and salted from above |
| Rajib Basua, G. C. Layekb |
a Department of Mathematics, Nistarini College, Purulia-723101, West Bengal, India;
b Department of Mathematics, The University of Burdwan, Golapbag, Burdwan-713104, West Bengal, India |
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Abstract Double-diffusive stationary and oscillatory instabilities at the marginal state in a saturated porous horizontal fluid layer heated and salted from above are investigated theoretically under the framework of Darcy for porous medium. The contributions of Soret and Dufour coefficients are taken into account in the analysis. Linear stability analysis shows that the critical value of the Darcy-Rayleigh number depends on cross-diffusive parameters at marginally stationary convection, while the marginal state characterized by oscillatory convection does not depend on the cross-diffusion terms even if the condition and frequency of oscillatory convection depends on the cross-diffusive parameters. The critical value of the Darcy-Rayleigh number increases with increasing value of the solutal Darcy-Rayleigh number in the absence of cross-diffusive parameters. The critical Darcy-Rayleigh number decreases with increasing Soret number, resulting in destabilization of the system, while its value increases with increasing Dufour number, resulting in stabilization of the system at the marginal state characterized by stationary convection. The analysis reveals that the Dufour and Soret parameters as well as the porosity parameter play an important role in deciding the type of instability at the onset. This analysis also indicates that the stationary convection is followed by the oscillatory convection for certain fluid mixtures. It is interesting to note that the roles of cross-diffusive parameters on the double-diffusive system heated and salted from above are reciprocal to the double-diffusive system heated and salted from below.
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Received: 09 July 2012
Revised: 23 November 2012
Accepted manuscript online:
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PACS:
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47.55.pd
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(Multidiffusive convection)
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47.56.+r
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(Flows through porous media)
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Corresponding Authors:
G. C. Layek
E-mail: goralayek@yahoo.com
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Cite this article:
Rajib Basu, G. C. Layek Cross-diffusive effects on the onset of the double-diffusive convection in a horizontal saturated porous fluid layer heated and salted from above 2013 Chin. Phys. B 22 054702
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| [1] |
Turner J S 1985 Ann. Rev. Fluid Mech. 17 11
|
| [2] |
Turner J S 1974 Ann. Rev. Fluid Mech. 6 37
|
| [3] |
Nield D A and Bejan A 2006 Convection in Porous Media (3rd edn.) (New York: Springer-Verlag)
|
| [4] |
Horton C W and Rogers F T 1945 J. Appl. Phys. 16 367
|
| [5] |
Lapwood E R 1948 Proc. Camb. Phil. Soc. 44 508
|
| [6] |
Katto Y and Masuoka T 1967 Int. J. Heat Mass Transfer 10 297
|
| [7] |
Combarnous M and Bories S 1975 Adv. Hydrosci. 10 231
|
| [8] |
Cheng P 1978 Adv. Heat Transfer 14 1
|
| [9] |
Stern M E 1960 Tellus. 12 172
|
| [10] |
Nield D A 1968 Water Resources Res. 11 533
|
| [11] |
Taslim M E and Narusawa U 1986 J. Heat Transfer 108 221
|
| [12] |
Malashetty M S 1993 Int. J. Heat Mass Transfer 36 2397
|
| [13] |
Motsa S S 2008 SJPAM 3 58
|
| [14] |
Kuznetsov A V and Nield D A 2008 Trans. Porous Media. 72 157
|
| [15] |
Kuznetsov A V and Nield D A 2010 Trans. Porous Media. 85 941
|
| [16] |
Nield D A and Kuznetsov A V 2011 Int. J. Heat Fluid Flow 32 771
|
| [17] |
Kuznetsov A V and Nield D A 2011 Int. J. Thermal Sci. 50 712
|
| [18] |
Straughan B 2011 Proc. R. Soc. A 467 7
|
| [19] |
Chandrasekhar S 1981 Hydrodynamic and Hydro magnetic Stability (1st edn.) (Dover Publication)
|
| [20] |
Nield D A 1991 Int. J. Heat Mass Transfer 34 87
|
| [21] |
Griffiths R W 1981 J. Fluid Mech. 102 221
|
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