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RESEARCH PAPERS: Forced Convection

Lattice Boltzmann Method Simulation of Backward-Facing Step Flow With Double Plates Aligned at Angle to Flow Direction

[+] Author and Article Information
Chao-Kuang Chen1

Department of Mechanical Engineering,  National Cheng Kung University, Tainan, 70101, Taiwanckchen@mail.ncku.edu.tw

Tzu-Shuang Yen, Yue-Tzu Yang

Department of Mechanical Engineering,  National Cheng Kung University, Tainan, 70101, Taiwan

1

Corresponding author.

J. Heat Transfer 128(11), 1176-1184 (Mar 14, 2006) (9 pages) doi:10.1115/1.2352786 History: Received September 19, 2005; Revised March 14, 2006

This study applies the lattice Boltzmann method (LBM) to simulate incompressible steady low Reynolds number backward-facing step flows. In order to restrict the simulations to two-dimensional flows, the investigated Reynolds number range is limited to a maximum value of Re=200. The field synergy principle is applied to demonstrate that the increased interruption within the fluid caused by the introduction of two inclined plates reduces the intersection angle between the velocity vector and the temperature gradient. The present results obtained for the velocity and temperature fields are found to be in good agreement with the published experimental and numerical results. Furthermore, the numerical results confirm the relationship between the velocity and temperature gradient predicted by the field synergy principle.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 3

Curved boundary and lattice nodes

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Figure 1

Geometry of backward-facing step with double plates inclined at angle to flow direction

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Figure 2

Dimensionless velocity and temperature profiles for porous plate flow

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Figure 4

Velocity field (ER=2, Re=170) for (a) no obstacle, (b) plates at 0deg, (c) plates at 27deg, and (d) plates at 45deg

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Figure 5

Comparison of present Nusselt number results with those of Kondoh (11) for Case A (ER=1.5, Pr=0.7)

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Figure 6

Effect of Reynolds number on Nusselt number for Case B (ER=2, Pr=0.7)

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Figure 7

Effect of Reynolds number on Nusselt number for case C with plates at 0deg (ER=2, Pr=0.7)

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Figure 8

Effect of Reynolds number on Nusselt number for case C with plates at 27deg (ER=2, Pr=0.7)

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Figure 9

Effect of Reynolds number on Nusselt number for case C with plates at 45deg (ER=2, Pr=0.7)

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Figure 10

Effect of Reynolds number on average Nusselt number with and without inclined double plates

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Figure 11

Effect of Reynolds number on dimensionless Int value with and without inclined double plates

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Figure 12

Effect of Reynolds number on average intersection angle with and without inclined double plates

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