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Research Papers: Flows in Complex Systems

An Experimental Investigation of the Permeability in Porous Chip Formed by Micropost Arrays Based on Microparticle Image Velocimetry and Micromanometer Measurements

[+] Author and Article Information
Haoli Wang

School of Mechanical and Electrical Engineering,
Jinling Institute of Technology,
Nanjing 211169, China;
Institute of Flow Measurement and Simulation,
China Jiliang University,
Hangzhou 310018, China

Pengwei Wang

Institute of Flow Measurement and Simulation,
China Jiliang University,
Hangzhou, 310018, China

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 23, 2016; final manuscript received September 12, 2016; published online December 7, 2016. Assoc. Editor: Hui Hu.

J. Fluids Eng 139(2), 021108 (Dec 07, 2016) (8 pages) Paper No: FE-16-1264; doi: 10.1115/1.4034753 History: Received April 23, 2016; Revised September 12, 2016

Measurements of velocity and pressure differences for flows in porous chip fabricated with micropost arrays arranged in square pattern were implemented by using micro-particle image velocimetry (micro-PIV) and high precision micromanometer. Based on the measurement results, the permeability was solved by Brinkman equation under the averaged velocities over the cross section, two-dimensional velocities on the center plane of the microchannels, and the averaged velocities on the center plane considering the effect of depth of correlation (DOC), respectively. The experimental results indicate that the nondimensional permeability based on different velocities satisfies the Kozeny–Carman (KC) equation. The Kozeny factor is taken as 40 for the averaged velocity over the cross section and 15 for two kinds of center velocities based on the micropost array of this study, respectively. The permeability calculated by the velocities on the center plane is greater than that by the averaged velocity over the cross section.

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Figures

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Fig. 1

The porous chip and its inner structure: (a) porous chip where five microchannels with square arrangement micropost arrays are fabricated, (b) the microscopic photo of one of the micropost arrays (under 5× microscopic objective), and (c) the schematics of three-dimensional structure of the micropost arrays and the coordinations of the microchannel

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Fig. 2

The velocity measurement system

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Fig. 3

The velocity fields and profiles of the streamwise velocities at different positions under the porosities from 59.95% to 80.37%. (a1)–(a5) The velocity fields at the center plane and (b1)–(b5) the velocity magnitudes at four positions of y = 0.105–0.22 step by 0.4.

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Fig. 4

Schematic of the flow in the micropost array. Three planes are plotted in the figure. The solid plane is at the center of the microchannel, which is also the focal plane in the micro-PIV measurement. Two dash planes are at the positions of two symmetric sides of the focal plane, which are two boundaries of the DOC. The arrow lines are the uij.

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Fig. 5

The streamwise distributions of Qj under five different porosities (a)–(e) and eight different Reynolds numbers from 0.1 to 1

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Fig. 6

The relationship between the averaged velocities on the center planes and Reynolds number under five different porosities

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Fig. 7

The pressure difference measurement system

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Fig. 8

The relationships between the water pressure differences and Reynolds number under five different porosities

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Fig. 9

The curves of K = f(U, Δp)

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Fig. 10

Comparisons of nondimensional permeability between the experimental points by three different approaches and the theoretical curves for the microporous media when the Kozeny factor is taken as different values

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