The aim of this study is the analysis of the onset conditions for the thermal instability in a fluid saturated porous medium. The investigation refers to an infinitely wide horizontal porous layer with vertical heterogeneity, such that the lower plane boundary is impermeable and thermally insulated (adiabatic). The temperature distribution on the upper plane boundary is assumed to be prescribed and linearly varying in the horizontal direction. It is shown that these boundary conditions are compatible with a buoyancy-induced parallel-flow solution such that the temperature gradient is inclined with respect to the vertical direction. The basic parallel flow is perturbed by small–amplitude roll disturbances, so that a linear analysis of the neutral stability is carried out. The local balance equations for the disturbances are solved numerically. The critical conditions for the onset of convection are determined.
Skip Nav Destination
Article navigation
Research Papers
Heterogeneity and Onset of Instability in Darcy’s Flow With a Prescribed Horizontal Temperature Gradient
A. Barletta,
A. Barletta
DIENCA, Alma Mater Studiorum—Università di Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
Search for other works by this author on:
M. Celli,
M. Celli
DIENCA, Alma Mater Studiorum—Università di Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
; Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695
Search for other works by this author on:
A. V. Kuznetsov
A. V. Kuznetsov
Department of Mechanical and Aerospace Engineering, North Carolina State University
, Raleigh, NC 27695
Search for other works by this author on:
A. Barletta
DIENCA, Alma Mater Studiorum—Università di Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
M. Celli
DIENCA, Alma Mater Studiorum—Università di Bologna
, Viale Risorgimento 2, 40136 Bologna, Italy
; Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695
A. V. Kuznetsov
Department of Mechanical and Aerospace Engineering, North Carolina State University
, Raleigh, NC 27695 J. Heat Transfer. Apr 2012, 134(4): 042602 (8 pages)
Published Online: February 13, 2012
Article history
Received:
June 14, 2011
Revised:
August 29, 2011
Online:
February 13, 2012
Published:
February 13, 2012
Citation
Barletta, A., Celli, M., and Kuznetsov, A. V. (February 13, 2012). "Heterogeneity and Onset of Instability in Darcy’s Flow With a Prescribed Horizontal Temperature Gradient." ASME. J. Heat Transfer. April 2012; 134(4): 042602. https://doi.org/10.1115/1.4005112
Download citation file:
Get Email Alerts
Cited By
Related Articles
Magnetofluidconvection in a Rotating Porous Layer Under Modulated Temperature on the Boundaries
J. Heat Transfer (July,2007)
Transient Methods of Thermal Properties Measurement on Fibrous Materials
J. Heat Transfer (March,2010)
Effect of Modulation on the Onset of Convection in a Sparsely Packed Porous Layer
J. Heat Transfer (August,1990)
A Unit Cube-Based Model for Heat Transfer and Fluid Flow in Porous
Carbon Foam
J. Heat Transfer (April,2006)
Related Proceedings Papers
Related Chapters
Completing the Picture
Air Engines: The History, Science, and Reality of the Perfect Engine
Extended Surfaces
Thermal Management of Microelectronic Equipment, Second Edition
Extended Surfaces
Thermal Management of Microelectronic Equipment