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RESEARCH PAPERS: Porous Media

A Correlation for Interfacial Heat Transfer Coefficient for Turbulent Flow Over an Array of Square Rods

[+] Author and Article Information
Marcelo B. Saito

Departamento de Energia - IEME, Instituto Tecnológico de Aeronáutica - ITA, 12228-900 - São José dos Campos - SP, Brazil

Marcelo J. S. de Lemos1

Departamento de Energia - IEME, Instituto Tecnológico de Aeronáutica - ITA, 12228-900 - São José dos Campos - SP, Brazildelemos@ita.br

1

Corresponding author.

J. Heat Transfer 128(5), 444-452 (Oct 28, 2005) (9 pages) doi:10.1115/1.2175150 History: Received April 15, 2005; Revised October 28, 2005

Interfacial heat transfer coefficients in a porous medium modeled as a staggered array of square rods are numerically determined. High and low Reynolds k-ϵ turbulence models are used in conjunction of a two-energy equation model, which includes distinct transport equations for the fluid and the solid phases. The literature has documented proposals for macroscopic energy equation modeling for porous media considering the local thermal equilibrium hypothesis and laminar flow. In addition, two-energy equation models have been proposed for conduction and laminar convection in packed beds. With the aim of contributing to new developments, this work treats turbulent heat transport modeling in porous media under the local thermal nonequilibrium assumption. Macroscopic time-average equations for continuity, momentum, and energy are presented based on the recently established double decomposition concept (spatial deviations and temporal fluctuations of flow properties). The numerical technique employed for discretizing the governing equations is the control volume method. Turbulent flow results for the macroscopic heat transfer coefficient, between the fluid and solid phase in a periodic cell, are presented.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 8

Isotherms for Pr=1, ReD=105, and ϕ=0.65

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Figure 10

Effect of ReD on hi for Pr=1 and ϕ=0.65

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Figure 11

Effect of porosity on hi for Pr=1

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Figure 1

Physical model and coordinate system

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Figure 2

Nonuniform computational grid

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Figure 3

Velocity profile in fully developed pipe flow

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Figure 4

Grid independence study

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Figure 5

Dimensionless velocity profile for Pr=1 and ReD=5×104

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Figure 6

Dimensionless temperature profile for Pr=1 and ReD=5×104

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Figure 7

Nondimensional pressure field for ReD=105 and ϕ=0.65

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Figure 9

Turbulence kinetic energy for ReD=105 and ϕ=0.65

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Figure 12

Comparison of the numerical results and proposed correlation

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Figure 13

Comparison of the numerical results and various correlations for ϕ=0.65

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