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Meccanica

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04-09-2017 | Brief Notes and Discussions

Lyapunov stability of plane parallel porous convection with heat generation

Published in: Meccanica | Issue 1-2/2018

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Abstract

A typical plane parallel convective motion arising in an externally and internally heated slot filled with some porous material is considered. Temperature dependent diffusion coefficients and nonuniform distribution of volumetric heat sources across the slot are taken into account. Using Lyapunov direct method the perturbations are shown to be asymptotically and exponentially stable provided that the Rayleigh number is sufficiently small.

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Title: Lyapunov stability of plane parallel porous convection with heat generation
Publication date: 04-09-2017
Published in: Meccanica / Issue 1-2/2018
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI: https://doi.org/10.1007/s11012-017-0750-x

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