Forced Convection with Laminar Pulsating Counterflow in a Saturated Porous Circular 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, 1142, New Zealand |
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Abstract: | An analytical solution is obtained for forced convection in a circular tube occupied by a core–sheath-layered saturated porous
medium with counterflow produced by pulsating pressure gradients. The case of the 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 non-zero 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 from π/2 to − π/2 as the frequency increases. |
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Keywords: | Forced convection Pulsating flow Counterflow Circular tube |
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