Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium

The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Land...

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Veröffentlicht in:	Transport in porous media 2012-04, Vol.92 (3), p.633-647
Hauptverfasser:	Bhadauria, B. S., Siddheshwar, P. G., Kumar, Jogendra, Suthar, Om P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Civil Engineering Classical and Continuum Physics Convection modes Earth and Environmental Science Earth Sciences Earth, ocean, space Exact sciences and technology Geotechnical Engineering & Applied Earth Sciences Gravitation Hydrogeology Hydrology. Hydrogeology Hydrology/Water Resources Industrial Chemistry/Chemical Engineering Landau-Ginzburg equations Modulation Nonlinear analysis Porous media Power series Rotating fluids Rotation Stability analysis Stabilization Temperature effects Thermal instability Transport
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Zusammenfassung:	The effect of time-periodic temperature/gravity modulation on thermal instability in a fluid-saturated rotating porous layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of convection. The Ginzburg–Landau equation for the stationary mode of convection is obtained and consequently the individual effect of temperature/gravity modulation on heat transport has been investigated. Further, the effect of various parameters on heat transport has been analyzed and depicted graphically.
ISSN:	0169-3913 1573-1634
DOI:	10.1007/s11242-011-9925-4