Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary

Version 1 : Received: 13 November 2021 / Approved: 15 November 2021 / Online: 15 November 2021 (19:39:24 CET)

A peer-reviewed article of this Preprint also exists.

Brandão, P.V.; Celli, M.; Barletta, A. Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary. Fluids 2021, 6, 450. Brandão, P.V.; Celli, M.; Barletta, A. Rayleigh–Bénard Instability of an Ellis Fluid Saturated Porous Channel with an Isoflux Boundary. Fluids 2021, 6, 450.

Journal reference: Fluids 2021, 6, 450
DOI: 10.3390/fluids6120450

Abstract

The onset of the thermal instability is investigated in a porous channel with plane parallel boundaries saturated by a non–Newtonian shear–thinning fluid and subject to a horizontal throughflow. The Ellis model is adopted to describe the fluid rheology. Both horizontal boundaries are assumed to be impermeable. A uniform heat flux is supplied through the lower boundary, while the upper boundary is kept at a uniform temperature. Such an asymmetric setup of the thermal boundary conditions is analysed via a numerical solution of the linear stability eigenvalue problem. The linear stability analysis is developed for three–dimensional normal modes of perturbation showing that the transverse modes are the most unstable. The destabilising effect of the non-Newtonian shear–thinning character of the fluid is also demonstrated as compared to the behaviour displayed, for the same flow configuration, by a Newtonian fluid.

Keywords

Ellis fluid; Porous medium; Normal modes; Rayleigh–Bénard instability; Convection.

Subject

ENGINEERING, Mechanical Engineering

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