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Fluids 2017, 2(2), 33;

Convective to Absolute Instability Transition in a Horizontal Porous Channel with Open Upper Boundary

Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy
Author to whom correspondence should be addressed.
Academic Editor: Mehrdad Massoudi
Received: 28 April 2017 / Revised: 9 June 2017 / Accepted: 10 June 2017 / Published: 14 June 2017
(This article belongs to the Special Issue Convective Instability in Porous Media)
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A linear stability analysis of the parallel uniform flow in a horizontal channel with open upper boundary is carried out. The lower boundary is considered as an impermeable isothermal wall, while the open upper boundary is subject to a uniform heat flux and it is exposed to an external horizontal fluid stream driving the flow. An eigenvalue problem is obtained for the two-dimensional transverse modes of perturbation. The study of the analytical dispersion relation leads to the conditions for the onset of convective instability as well as to the determination of the parametric threshold for the transition to absolute instability. The results are generalised to the case of three-dimensional perturbations. View Full-Text
Keywords: porous medium; Rayleigh number; absolute instability porous medium; Rayleigh number; absolute instability

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Barletta, A.; Celli, M. Convective to Absolute Instability Transition in a Horizontal Porous Channel with Open Upper Boundary. Fluids 2017, 2, 33.

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