Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 2 May 2017 / Approved: 4 May 2017 / Online: 4 May 2017 (16:44:51 CEST)

A peer-reviewed article of this Preprint also exists.

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

Journal reference: Fluids 2017, 2, 33
DOI: 10.3390/fluids2020033

Abstract

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.

Subject Areas

Porous medium; Rayleigh number; Absolute instability

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