Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow

Hill, A. A.; Matta, A.; Narayana, P. A.L.; Hill, Antony A.

Abstract

© 2016, Springer-Verlag Wien. Linear and nonlinear stability analyses of Hadley–Prats flow in a horizontal fluid-saturated porous medium with a heat source are performed. The results indicate that, in the linear case, an increase in the horizontal thermal Rayleigh number is stabilizing for both positive and negative values of mass flow. In the nonlinear case, a destabilizing effect is identified at higher mass flow rates. An increase in the heat source has a destabilizing effect. Qualitative changes appear in Rz as the mass flow moves from negative to positive for different internal heat sources.

• Journal Article Type: Article
• Acceptance Date: Feb 15, 2016
• Publication Date: Jun 1, 2016
• Deposit Date: May 27, 2016
• Publicly Available Date: May 27, 2016
• Journal: Acta Mechanica
• Print ISSN: 0001-5970
• Electronic ISSN: 1619-6937
• Publisher: Springer (part of Springer Nature)
• Peer Reviewed: Peer Reviewed
• Volume: 227
• Issue: 6
• Pages: 1743-1751
• DOI: https://doi.org/10.1007/s00707-016-1591-8
• Keywords: internal heat source, nonlinear energy theory, Hadley-Prats flow
• Public URL: https://uwe-repository.worktribe.com/output/921212
• Publisher URL: http://dx.doi.org/10.1007/s00707-016-1591-8
• Additional Information: Additional Information : The final publication is available at Springer via http://dx.doi.org/10.1007/s00707-016-1591-8
• Contract Date: May 27, 2016