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

Matta, Anjanna; Hill, Antony A

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.

• Journal Article Type: Article
• Acceptance Date: Jan 31, 2018
• Online Publication Date: Sep 14, 2017
• Publication Date: Jan 1, 2018
• Deposit Date: Oct 20, 2017
• Publicly Available Date: Oct 20, 2017
• Journal: Continuum Mechanics and Thermodynamics
• Print ISSN: 0935-1175
• Electronic ISSN: 1432-0959
• 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
• Contract Date: Oct 20, 2017