Journal of Applied Nonlinear Dynamics
Nonlinear Throughflow Effects on Thermally Modulated Rotating Porous Medium
Journal of Applied Nonlinear Dynamics 6(1) (2017) 2744  DOI:10.5890/JAND.2017.03.003
Palle Kiran$^{1}$, B.S. Bhadauria$^{2}$, Y Narasimhulu$^{1}$
$^{1}$ Department of Mathematics, Rayalaseema University, Kurnool 518002, AP, India
$^{2}$ Department of Mathematics, Institute of Science, BHU, Varanasi 221005, India
2Department of Applied Mathematics, School for Physical Sciences, BBAU, Lucknow 226025, UP, India
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Abstract
The effect of throughflow and temperature modulation on a rotating porous medium is investigated. The generalized Darcy model is used for the momentum equation. Heat transfer analysis is based on weakly nonlinear thermal instability. It is computed numerically in terms of the Nusselt number, which is governed by a nonautonomous complex GinzburgLandau equation. Both concepts, rotation and throughflow are used as an external mechanism to regulate heat transfer. The effect of amplitude and frequency of modulation on heat transport is discussed and presented graphically. The effect of throughflow has duel by nature on heat transfer, the outflow enhances and inflow diminishes the heat transfer. It is found that, high rotational rates promotes heat transfer than low rotational rates. Further, the effect of modulation on mean Nusselt number depends on both the phase difference and frequency rather than on only the choice of the frequency of small amplitude modulation.
Acknowledgments
One of the author PK is grateful to the Department of Atomic Energy, Government of India, for providing him financial assistance in the form of NBHMPostDoctoral Fellowship (Lett. No: 2/40(27)/2015/R&DII/9470).
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