Combined effect of thermal modulation and rotation on the onset of stationary convection in a porous layer |
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Authors: | M S Malashetty Mahantesh Swamy |
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Institution: | (1) Department of Mathematics, Gulbarga University, Jnana Ganga, Gulbarga, 585 106, India |
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Abstract: | The stability of a fluid-saturated horizontal rotating porous layer subjected to time-periodic temperature modulation is investigated
when the condition for the principle of exchange of stabilities is valid. The linear stability analysis is used to study the
effect of infinitesimal disturbances. A regular perturbation method based on small amplitude of applied temperature field
is used to compute the critical values of Darcy–Rayleigh number and wavenumber. The shift in critical Darcy–Rayleigh number
is calculated as a function of frequency of modulation, Taylor number, and Darcy–Prandtl number. It is established that the
convection can be advanced by the low frequency in-phase and lower-wall temperature modulation, where as delayed by the out-of-phase
modulation. The effect of Taylor number and Darcy–Prandtl number on the stability of the system is also discussed. We found
that by proper tuning of modulation frequency, Taylor number, and Darcy–Prandtl number it is possible to advance or delay
the onset of convection. |
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Keywords: | Thermal modulation Convection Rotation Porous layer |
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