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Research Papers: Fundamental Issues and Canonical Flows

Experimental and Numerical Investigations Using Lattice Boltzmann Method to Study Shedding Vortices in an Unsteady Confined Flow Around an Obstacle

[+] Author and Article Information
Abassi Wafik

Université de Valenciennes et du
Hainaut-Cambrésis (UVHC),
Campus Le Mont Houy,
LAMIH CNRS UMR 8201,
Valenciennes Cedex 9 F-59313, France
e-mail: wafikos@hotmail.fr

Aloui Fethi

Université de Valenciennes et du
Hainaut-Cambrésis,
Campus Mont Houy,
LAMIH CNRS UMR 8201,
Valenciennes Cedex 9 F-59313, France
e-mail: fethi.aloui@univ-valenciennes.fr

Laurent Keirsbulck

Université de Valenciennes et du
Hainaut-Cambrésis (UVHC),
Campus Le Mont Houy,
LAMIH CNRS UMR 8201,
Valenciennes Cedex 9 F-59313, France
e-mail: laurent.keirsbulck@univ-valenciennes.fr

Ben Nasrallah Sassi

Université de Monastir,
Laboratoire LESTE,
École Nationale d’Ingénieurs de Monastir,
Avenue Ibn El Jazzar,
Monastir 5019, Tunisia
e-mail: sassi.bennasrallah@enim.rnu.tn

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 25, 2014; final manuscript received March 26, 2015; published online June 8, 2015. Assoc. Editor: Peter Vorobieff.

J. Fluids Eng 137(10), 101203 (Oct 01, 2015) (11 pages) Paper No: FE-14-1399; doi: 10.1115/1.4030487 History: Received July 25, 2014; Revised March 26, 2015; Online June 08, 2015

Lattice Boltzmann equation with Bhatnagar–Gross–Krook (BGK) model is applied to simulate unsteady laminar flow around a confined square obstacle, in order to study the vortex shedding and their interaction in the flow on the mass transfer in the parietal zone of a channel. The model was tested by comparing to an experimental study via standard particle image velocimetry (PIV). A post-processing was used to well extract instantaneous vortices contained in the flow downstream obstacles. A sensor with zero concentration on the surface is placed on the channel wall to study the effect of wake instabilities on the parietal mass transfer.

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Figures

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Fig. 3

D2Q9 lattice Boltzmann model

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Fig. 2

PIV measurements positions

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Fig. 1

Schematic view of the experimental setup

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Fig. 5

Experimental and numerical radial velocity profiles at y/D = 2, Re = 30 for three different grid size

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Fig. 6

Velocity profiles in the upstream of the obstacle (z = 0)

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Fig. 4

Schematic view and boundary conditions

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Fig. 7

Streamlines near the obstacle according Reynolds number: (a) Re = 5; (b) Re = 50; (c) Re = 80; and (d) Re = 120

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Fig. 8

Instantaneous streamlines and axial velocity contours: (a) PIV measurement and (b) LBM results: (i) Re = 50; (ii) Re = 80; and (iii) Re = 120

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Fig. 9

Centerline velocity profile according Reynolds numbers near the obstacle

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Fig. 10

Recirculation length according Re

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Fig. 11

Strouhal number according Re

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Fig. 12

Instantaneous streamlines and velocity magnitude contour for Reynolds Re = 90

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Fig. 13

Instantaneous vorticity field contour for Reynolds = 90

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Fig. 16

Comparison of Sherwood number derived by numerical solution (LBM and convection–diffusion equation) with that derived by analytical solution (Lévêque for a range of Péclet 10−3< Pe < 106

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Fig. 14

Q criterion for Reynolds = 90: (a) PIV velocity field and (b) LBM velocity field

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Fig. 15

Γ2 criterion for Reynolds = 90: (a) PIV velocity field and (b) LBM velocity field

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Fig. 17

Contours of concentration for a sensor placed at position: x = 4.1d; Re = 50 (a); Re = 100 (b); and Re = 200 (c)

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Fig. 18

Effect of Re on the mass transfer rate for a sensor placed at x/d = 4.1 with a cylinder positioned at b/h = 0.5

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Fig. 19

Effect of Re on the mass transfer rate for a sensor placed at x/d = 4.1 with a cylinder positioned at b/h = 0.25

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Fig. 20

Effect of the blockage ratio on the mass transfer rate for a sensor placed at different positions: x/d = 1.9, x/d = 4.1, and x/d = 8.4 for a Re = 100

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