Forced Convection with Laminar Pulsating Flow in a Saturated Porous Channel or Tube |
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Authors: | A V Kuznetsov D A Nield |
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Institution: | (1) Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA;(2) Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand |
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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. |
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Keywords: | forced convection pulsating flow parallel-plates channel circular duct |
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