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Pressure drop and friction factor of steady and oscillating flows in open-cell porous media

  • Li wen Jin
  • Kai Choong LeongEmail author
Article

Abstract

Open-cell metal foams are often used in heat exchangers and absorption equipment because they exhibit large specific surface area and present tortuous coolant flow paths. However, published research works on the characteristics of fluid flow in metal foams are relatively scarce, especially for the flow oscillation condition. The present experimental investigation attempts to uncover the behavior of steady and oscillating flows through metal foams with a tetrakaidecahedron structure. In the experiments, steady flow was supplied by an auto-balance compressor and flow oscillation was provided by an oscillating flow generator. The pressure drop and velocity were measured by the differential pressure transducer and hot-wire sensor, respectively. The friction factor of steady flow in metal foam channel was analyzed through the permeability and inertia coefficient of the porous medium. The results show that flow resistance in the metal foams increases with increasing form coefficient and decreasing permeability. The empirical equation obtained by the present study indicates that the maximum friction factor of oscillating flow through the tested aluminum foams with specific structure is governed by the hydraulic ligament diameter-based kinetic Reynolds number and the dimensionless flow amplitude.

Keywords

Dimensionless flow amplitude Friction factor Inertia coefficient Kinetic Reynolds number Permeability Pressure drop 

Nomenclature

A,B

Constants

ADh

Dimensionless flow amplitude

C

Form coefficient of porous media

D

Diameter of the pipe

Dh

Hydraulic ligament diameter of aluminum foam

Dhyd

Hydraulic diameter of channel

d

Ligament diameter of aluminum foam (μm)

F

Inertia coefficient of porous media (m−1)

f

Friction factor

fmax

Maximum friction factor

H

Height of the channel (m)

K

Permeability of the porous medium (m2)

L

Length of the tested foam (m)

n

Number of cycles

ΔP

Pressure drop across the test section (Pa)

ΔPmax

Maximum pressure drop across the test section (Pa)

ReDh

Ligament diameter-based Reynolds number

Reω (Dh)

Kinetic Reynolds number

Remax(Dh)

Maximum Reynolds number

t

Cycle time (s)

umax

Maximum velocity of fluid in metal foam channel (m/s)

u

Mean velocity of fluid in porous channel (m/s)

W

Channel width (m)

xmax

Amplitude of flow displacement (mm)

Greek Symbols

α

Stokes number

γ

Shape parameter of porous medium

θ

Phase lag

δ

Uncertainty

θ

Phase lag

ɛ

Porosity of the porous media

μf

Dynamic viscosity of fluid (kg/m s)

νf

Kinematic viscosity of fluid (m2/s)

ρf

Density of fluid (kg/m3)

ω

Angular frequency (rad/s)

-

Average value

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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.School of Mechanical and Aerospace EngineeringNanyang Technological UniversitySingaporeRepublic of Singapore

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