An analytical solution is obtained for forced convection in a parallel-plate channel occupied by a layered saturated porous medium with counterflow produced by pulsating pressure gradients. The case of asymmetrical constant heat-flux boundary conditions is considered, and the Brinkman model is employed for the porous medium. A perturbation approach is used to obtain analytical expressions for the velocity, temperature distribution, and transient Nusselt number for convection produced by an applied pressure gradient that fluctuates with small amplitude harmonically in time about a nonzero mean. It is shown that the fluctuating part of the Nusselt number alters in magnitude and phase as the dimensionless frequency increases. The magnitude increases from zero, goes through a peak, and then decreases to zero. The height of the peak depends on the values of various parameters. The phase (relative to that of the steady component) decreases as the frequency increases. The phase angle at very low frequency can be or depending on the degree of asymmetry of the heating and the values of other parameters.
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Forced Convection With Laminar Pulsating Counterflow in a Saturated Porous Channel
D. A. Nield,
D. A. Nield
Department of Engineering Science,
e-mail: d.nield@auckland.ac.nz
University of Auckland
, Private Bag 92019, Auckland 1142, New Zealand
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A. V. Kuznetsov
A. V. Kuznetsov
Department of Mechanical and Aerospace Engineering,
e-mail: avkuznet@eos.ncsu.edu
North Carolina State University
, Campus Box 7910, Raleigh, NC 27695-7910
Search for other works by this author on:
D. A. Nield
Department of Engineering Science,
University of Auckland
, Private Bag 92019, Auckland 1142, New Zealande-mail: d.nield@auckland.ac.nz
A. V. Kuznetsov
Department of Mechanical and Aerospace Engineering,
North Carolina State University
, Campus Box 7910, Raleigh, NC 27695-7910e-mail: avkuznet@eos.ncsu.edu
J. Heat Transfer. Oct 2009, 131(10): 101005 (8 pages)
Published Online: July 29, 2009
Article history
Received:
April 1, 2008
Revised:
July 23, 2008
Published:
July 29, 2009
Citation
Nield, D. A., and Kuznetsov, A. V. (July 29, 2009). "Forced Convection With Laminar Pulsating Counterflow in a Saturated Porous Channel." ASME. J. Heat Transfer. October 2009; 131(10): 101005. https://doi.org/10.1115/1.3180810
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