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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Nonlinear Throughflow Effects on Thermally Modulated Rotating Porous Medium

Journal of Applied Nonlinear Dynamics 6(1) (2017) 27--44 | 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 non-autonomous complex Ginzburg-Landau 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 NBHM-Post-Doctoral Fellowship (Lett. No: 2/40(27)/2015/R&DII/9470).

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