Forced Convection with Laminar Pulsating Flow in a Saturated Porous Channel or Tube

Authors: Kuznetsov, A.; Nield, D.

Source: Transport in Porous Media, Volume 65, Number 3, December 2006 , pp. 505-523(19)

Publisher: Springer

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Abstract:

A perturbation approach is used to obtain analytical expressions for the velocity, temperature distribution, and transient Nusselt number for the problem of forced convection, in a parallel-plates channel or a circular tube occupied by a saturated porous medium modeled by the Brinkman equation, produced by an applied pressure gradient that fluctuates with small amplitude harmonically in time about a non-zero mean. It is shown that the fluctuating part of this 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 decreases as the modified Prandtl number increases. The phase (relative to that of the steady component) decreases from π/2 to − π/2. The height of the peak at first increases, goes through a maximum, and then decreases as the Darcy number decreases.

Keywords: forced convection; pulsating flow; parallel-plates channel; circular duct

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s11242-006-6791-6

Affiliations: 1: Email: avkuznet@eos.ncsu.edu

Publication date: 2006-12-01