Transport in Porous Media

, Volume 114, Issue 1, pp 87–97 | Cite as

The Onset of Convection in a Sloping Layered Porous Medium: Effects of Local Thermal Non-equilibrium and Heterogeneity

  • D. A. Nield
  • A. V. KuznetsovEmail author
  • A. Barletta
  • M. Celli


We have investigated the onset of convection instability in a heterogeneous inclined porous layer. Our equations also account for local thermal non-equilibrium. We modelled the effect of heterogeneity by assuming that the layer is composed of two porous sub-layers with different properties, such as permeability, fluid conductivity, solid conductivity, interphase heat transfer coefficient and porosity. We identified which of these factors have major and which have minor effect on the instability. We also characterized the accuracy of one-term Galerkin approximation for this problem. In order to do this, we compared the results obtained by Galerkin approximation with the results obtained by a highly accurate numerical solver.


Sloping layer Local thermal non-equilibrium Porous medium Instability Natural convection 



A.V.K. gratefully acknowledges the support of the Alexander von Humboldt Foundation through the Humboldt Research Award.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  • D. A. Nield
    • 1
  • A. V. Kuznetsov
    • 2
    Email author
  • A. Barletta
    • 3
  • M. Celli
    • 3
  1. 1.Department of Engineering ScienceUniversity of AucklandAucklandNew Zealand
  2. 2.Department of Mechanical and Aerospace EngineeringNorth Carolina State UniversityRaleighUSA
  3. 3.Department of Industrial EngineeringAlma Mater Studiorum Università di BolognaBolognaItaly

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