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Research Papers: Flows in Complex Systems

Theoretical Study of the Laminar Flow in a Channel With Moving Bars

[+] Author and Article Information
Hai-Ping Hu1

Department of Marine Engineering, National Taiwan Ocean University, No. 2, Pei-Ning Road, Keelung 20224, Taiwanhphu@mail.ntou.edu.tw

Rong-Hua Yeh

Department of Marine Engineering, National Kaohsiung Marine University, No. 142, Haijhuan Road, Nanzih District, Kaohsiung City 81143, Taiwanrhyeh@mail.nkmu.edu.tw

1

Corresponding author.

J. Fluids Eng 131(11), 111102 (Oct 19, 2009) (7 pages) doi:10.1115/1.4000261 History: Received April 10, 2009; Revised July 26, 2009; Published October 19, 2009

This paper presents a study of the laminar flow in a channel with longitudinal moving bars arrayed along the channel width. The governing equations describing the fluid, which flows along the direction of the bar’s length, are expressed with double Poisson equations and are solved by eigenfunction-expansion and point-match method. The result shows that when the solid bars move forward, the fluid flow will move in the same direction, and the fRe decreases as the positive velocity of bars increases. However, when the bars move backward, a reverse flow will occur in the channel, and the fRe is higher at larger negative velocity of bars. For a channel flow with moving bars, the fRe value is not a constant, such as a classical one without moving bars, in which the fRe value is a constant. Furthermore, when the area of the cross section of the bar is fixed, both the mean velocities and the fRe values of the fluid can be obtained under different velocities and aspect ratios of the bars.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

(a) The overall view of the proposed model, (b) the cross section of the channel with moving bars, and (c) an enlarger view of the L-shape regions with dimensionless parameters

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Figure 8

(a) Mean fluid velocity for bars with different aspect ratios, u=1.0; and (b) mean fluid velocity for bars with different aspect ratios, u=−1.0

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Figure 9

(a) The f Re values on different aspect ratios of bars, u=0.5; and (b) the f Re values on different aspect ratios of bars, u=−0.5

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Figure 2

Local velocity distributions for u=0.2, a=1.0, b=0.5, c=0.5, and A=0.25

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Figure 3

Local velocity distributions for u=1.0, a=1.0, b=0.5, c=0.7, and A=0.15

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Figure 4

Local velocity distributions for u=−0.1, a=1.0, b=0.5, c=0.5, and A=0.25—partial reverse flow under the negative velocity of bars

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Figure 5

Local velocity distributions for u=−1.0, a=1.0, b=0.5, c=0.7, and A=0.15—full reverse flow under the negative velocity of bars

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Figure 6

Mean fluid velocity for bars with different velocities, b=0.5

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Figure 7

The f Re values for bars with different velocities, b=0.5

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Figure 10

The contour plot of the velocity of bars under wmean=0 and A=0.25

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