Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media
IF: 1.49 5-Year IF: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v10.i1.10
pages 1-16

The Stability of a Developing Thermal Front in a Porous Medium. I Linear Theory

Asma Selim
Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UK
D. Andrew S. Rees
Department of Mechanical Engineering, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom

ABSTRACT

In this paper, we analyze the stability of the developing thermal boundary layer that is induced by suddenly raising the temperature of the lower horizontal boundary of a uniformly cold semi-infinite porous domain. A full linear stability analysis is developed, and it is shown that disturbances are governed by a parabolic system of equations. Numerical solutions of this system are compared with the neutral stability curve obtained by approximating the system as an ordinary differential eigenvalue problem. Different criteria are used to mark the onset of convection of an evolving disturbance, namely, the maximum disturbance temperature, the surface rate of heat transfer, and the disturbance energy. It is found that these different measures yield different neutral curves. We also show that the disturbances have a favoured evolutionary path in the sense that disturbances introduced at different times or with different initial profiles eventually tend toward that common path.


Articles with similar content:

ONSET OF CONVECTION IN AN UNSTEADY THERMAL BOUNDARY LAYER
International Heat Transfer Conference 13, Vol.0, 2006, issue
K. Ando
SECONDARY INSTABILITIES OF A DEVELOPING THERMAL FRONT IN A POROUS MEDIUM
International Heat Transfer Conference 13, Vol.0, 2006, issue
Asma Selim, D. Andrew S. Rees
THE INSTABILITY OF A DEVELOPING THERMAL FRONT IN A POROUS MEDIUM. III SUBHARMONIC INSTABILITIES
Journal of Porous Media, Vol.13, 2010, issue 12
Asma Selim, D. Andrew S. Rees
VISCOUS DISSIPATION INSTABILITY OF NON-NEWTONIAN FLOW IN A HORIZONTAL POROUS CHANNEL
Multiphase Science and Technology, Vol.30, 2018, issue 2-3
Michele Celli, Antonio Barletta
Stability of Wave Packets in Layered Hydrodynamic Systems Subjected to the Surface Tension
International Journal of Fluid Mechanics Research, Vol.33, 2006, issue 6
Olga V. Avramenko, Igor T. Selezov