0
Research Papers: Porous Media

Thermal Modeling of Forced Convection in a Parallel-Plate Channel Partially Filled With Metallic Foams

[+] Author and Article Information
H. J. Xu

MOE Key Laboratory of Thermo-Fluid Science and Engineering,  Xi’an Jiaotong University, 710049, Chinazgqu@mail.xjtu.edu.cn

Z. G. Qu1

MOE Key Laboratory of Thermo-Fluid Science and Engineering,  Xi’an Jiaotong University, 710049, Chinazgqu@mail.xjtu.edu.cn

T. J. Lu

MOE Key Laboratory of Strength and Vibration,  Xi’an Jiaotong University, 710049, China

Y. L. He, W. Q. Tao

MOE Key Laboratory of Thermo-Fluid Science and Engineering,  Xi’an Jiaotong University, 710049, China

1

Corresponding author.

J. Heat Transfer 133(9), 092603 (Jul 27, 2011) (9 pages) doi:10.1115/1.4004209 History: Received October 07, 2010; Revised May 08, 2011; Accepted May 10, 2011; Published July 27, 2011; Online July 27, 2011

Fully developed forced convective heat transfer in a parallel-plate channel partially filled with highly porous, open-celled metallic foam is analytically investigated. The Navier–Stokes equation for the hollow region is connected with the Brinkman–Darcy equation in the foam region by the flow coupling conditions at the porous–fluid interface. The energy equation for the hollow region and the two energy equations of solid and fluid for the foam region are linked by the heat transfer coupling conditions. The normalized closed-form analytical solutions for velocity and temperature are also obtained to predict the flow and temperature fields. The explicit expression for Nusselt number is also obtained through integration. A parametric study is conducted to investigate the influence of different factors on the flow resistance and heat transfer performance. The analytical solution can provide useful information for related heat transfer enhancement with metallic foams and establish a benchmark for similar work.

FIGURES IN THIS ARTICLE
<>
Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic diagram of a parallel-plate channel partially filled with metallic foam

Grahic Jump Location
Figure 2

Validation of the present analytical solution

Grahic Jump Location
Figure 3

Effect of key parameters on velocity profiles: (a) metal-foam morphology parameters and (b) hollow ratio

Grahic Jump Location
Figure 4

Mass flow fraction in foam region: (a) as a function of hollow ratio for different porosities, (b) as a function of pore density for hollow ratios, and (c) as a function of hollow ratio for different pore densities

Grahic Jump Location
Figure 5

Effect of key parameters on friction factor: (a) porosity, (b) pore density, and (c) hollow ratio

Grahic Jump Location
Figure 6

Effect of key parameters on temperature profiles: (a) porosity, (b) pore density, and (c) hollow ratio

Grahic Jump Location
Figure 7

Effect of key parameters on the Nusselt number: (a) porosity, (b) pore density, and (c) hollow ratio

Grahic Jump Location
Figure 8

Effect of Reynolds number on comprehensive performance for different hollow ratios

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In