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Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source

Matta, Anjanna; Hill, Antony A

Authors

Anjanna Matta

Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching



Abstract

© 2017, The Author(s). The thermosolutal instability of double-diffusive convection in an inclined fluid-saturated porous layer with a concentration-based internal heat source is investigated. The linear instability of small-amplitude perturbations to the system is analyzed with respect to transverse and longitudinal rolls. The resultant eigenvalue problem is solved numerically utilizing the Chebyshev tau method. It is shown that an increasing inclination angle causes a strong stabilization in the transverse rolls irrespective of the internal heat source or vertical solutal Rayleigh number. Furthermore, substantial qualitative changes are demonstrated in the linear instability thresholds with variations in the inclination angle and concentration-based heat source.

Citation

Matta, A., & Hill, A. A. (2018). Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source. Continuum Mechanics and Thermodynamics, 30(1), 165-173. https://doi.org/10.1007/s00161-017-0592-8

Journal Article Type Article
Acceptance Date Jan 31, 2018
Online Publication Date Sep 14, 2017
Publication Date Jan 1, 2018
Journal Continuum Mechanics and Thermodynamics
Print ISSN 0935-1175
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 30
Issue 1
Pages 165-173
DOI https://doi.org/10.1007/s00161-017-0592-8
Keywords inclined porous layer, linear stability analysis, heat source, porous medium
Public URL https://uwe-repository.worktribe.com/output/860487
Publisher URL https://doi.org/10.1007/s00161-017-0592-8

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