Bidispersive vertical convection | Zendy

Maurizio Gentile | Zendy; Brian Straughan | Zendy

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Bidispersive vertical convection

Author(s) -

Maurizio Gentile,

Brian Straughan

Publication year - 2017

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2017.0481

Subject(s) - porous medium , bounded function , rayleigh number , instability , convection , constant (computer programming) , mechanics , temperature gradient , rayleigh scattering , porosity , layer (electronics) , materials science , natural convection , thermodynamics , physics , mathematics , mathematical analysis , meteorology , optics , composite material , computer science , programming language

A bidispersive porous material is one which has usual\udpores but additionally contains a system of micro\udpores. We consider a fluid-saturated bidispersive\udporous medium in the vertical layer x ∈ (−1/2, 1/2)\udwith gravity in the −z (downward) direction. The\udwalls of the layer are maintained at different constant\udtemperatures. A suitable Rayleigh number is defined\udand we derive a global stability threshold below\udwhich no instability may arise. We additionally show\udthat the porous layer is stable for all Rayleigh numbers\udprovided the initial temperature gradient is bounded\udin a precise sense

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