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Augmentation and Optimization of Heat Transfer in Reciprocating Flows Through Small-Scaled Channels Partially Filled With a Porous Medium

[+] Author Affiliations
H. Shokouhmand, K. Haibbi, A. Mosahebi

University of Tehran, Tehran, Iran

Paper No. MNHT2008-52334, pp. 395-403; 9 pages
doi:10.1115/MNHT2008-52334
From:
  • ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer
  • ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer, Parts A and B
  • Tainan, Taiwan, June 6–9, 2008
  • Conference Sponsors: Nanotechnology Institute
  • ISBN: 0-7918-4292-4 | eISBN: 0-7918-3813-7
  • Copyright © 2008 by ASME

abstract

This paper presents the effect of introducing a porous medium on the heat transfer by a reciprocating flow in a small-scaled two-dimensional channel. The channel is discretely heated from above and is insulated in the bottom. In this ideal geometry, a fully developed reciprocating flow is established by a sinusoidal pressure gradient. In side boundaries, velocity and temperature are assumed to be periodic. A certain volume of this channel is occupied by a porous medium which is shown to be an effecting tool for heat transfer augmentation. The results of this study are declared by some dimensionless parameters such as Womersley number (α), Darcy number (Da), porosity (ε), Prandtl number (Pr), Pressure gradient amplitude (A) and dimensionless characteristic lengths in the channel and porous medium. Heat transfer enhancement in presence of a porous medium is investigated in this study. Despite decreasing the fluid velocity in porous media, a high conductivity of such media can effectively enhance the heat transfer rate and because of these two contradictory effects, an optimum depth for the porous region is expected. For this purpose, at first the momentum equations of the domain are solved analytically (Brinkmann-extended Darcy model is used for porous region) and on the other hand the energy equation is investigated and solved numerically using Alternating Direction Implicit (ADI) method. The enhancing effect and optimization criteria are discussed in result section.

Copyright © 2008 by ASME

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