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Fluids 2016, 1(3), 24; doi:10.3390/fluids1030024

Nonlinear Convection in a Partitioned Porous Layer

Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UK
Academic Editor: Asterios Pantokratoras
Received: 23 June 2016 / Revised: 27 July 2016 / Accepted: 28 July 2016 / Published: 23 August 2016
(This article belongs to the Special Issue Computational Fluid Dynamics)
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Abstract

Convection in a partitioned porous layer is considered where the thin partition causes a mechanical isolation of the two identical sublayers from one another, but heat may neveretheless conduct freely. An unsteady solver that employs the multigrid method is employed to determine steady-state strongly nonlinear for values of the Darcy–Rayleigh number up to eight times its critical value. The predictions of linear stability theory are confirmed and the accuracy of the computations are carefully monitored and controlled. It is found that the wavenumber for which the maximum rate of heat transfer is attained at any chosen value of the Darcy–Rayleigh number, Ra increases quite strongly from roughly 2.33 at onset to 6.25 when Ra = 200 . It is also found that convection generally cannot take place with wavenumbers which are close to the left-hand branch of the neutral stability curve because nonlinear interactions favour modes selected from higher harmonics. View Full-Text
Keywords: porous medium; nonlinear flow; layered system; Darcy–Bénard convection porous medium; nonlinear flow; layered system; Darcy–Bénard convection
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Rees, D.A.S. Nonlinear Convection in a Partitioned Porous Layer. Fluids 2016, 1, 24.

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