Advertisement

Transport in Porous Media

, Volume 95, Issue 3, pp 581–584 | Cite as

A Note on Local Thermal Non-Equilibrium in Porous Media Near Boundaries and Interfaces

  • D. A. NieldEmail author
Article

Abstract

Recent work on what has been called the phenomenon of heat flux bifurcation, that occurs at a boundary of a porous medium, or at an interface with a fluid clear of solid material, when a two-temperature model for the porous medium is employed, is discussed. An alternative interpretation of the situation, one in which the physics of the problem is emphasized, is presented.

Keywords

Local thermal non-equilibrium Interfaces Boundary conditions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Nield D.A., Kuznetsov A.V.: Local thermal non-equilibrium effects in forced convection in a porous medium channel: a conjugate problem. Int. J. Heat Mass Transfer 42, 3245–3252 (1999)CrossRefGoogle Scholar
  2. Nield D. A., Kuznetsov A. V.: Forced convection in a channel partly occupied by a bidisperse porous medium: symmetric case. ASME J. Heat Transfer 133, 072601 (2011)CrossRefGoogle Scholar
  3. Ochoa-Tapia J.A., Whitaker S.: Heat transfer at the boundary between a porous medium and a homogeneous fluid. Int. J. Heat Mass Transfer 40, 2691–2700 (1997)CrossRefGoogle Scholar
  4. Yang K., Vafai K.: Analysis of temperature gradient bifurcation in porous media: an exact solution. Int. J. Heat Mass Transfer 53, 4316–4325 (2010)CrossRefGoogle Scholar
  5. Yang K., Vafai K.: Analysis of heat flux bifurcation inside porous media incorporating inertial and dispersion effects: An exact solution. Int. J. Heat Mass Transfer 54, 5286–5297 (2011a)CrossRefGoogle Scholar
  6. Yang K., Vafai K.: Transient aspects of heat flux bifurcation in porous media: an exact solution. ASME J. Heat Transfer 133, 052602 (2011b)CrossRefGoogle Scholar
  7. Yang K., Vafai K.: Restrictions on the validity of the thermal conditions at the porous-fluid interface: An exact solution. ASME J. Heat Transfer 133, 112601 (2011c)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of Engineering ScienceUniversity of AucklandAucklandNew Zealand

Personalised recommendations