numerical simulation of droplet motion and two-phase flow field in an oscillating container tadashi...
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![Page 1: Numerical simulation of droplet motion and two-phase flow field in an oscillating container Tadashi Watanabe Center for Computational Science and e-Systems](https://reader036.vdocuments.us/reader036/viewer/2022062423/5697bf941a28abf838c8ffe6/html5/thumbnails/1.jpg)
Numerical simulation of droplet motion and two-phase flow field in an oscillating
container Tadashi WatanabeCenter for Computational Science and e-Systems Japan Atomic Energy Agency
Multiphysics 2009, Multiphysics 2009, Dec. 12, 2009Dec. 12, 2009
o Background and Objectiveso Numerical Methodo Flow Fieldo Comparisono Summary
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Background and Objectives
Levitated Droplet : Free from effects of container wall
Oscillation
Rotation
Measurement of material properties of high-temperature molten metal,,,
Surface tension --- Oscillation frequency, Rotating shape,,, Viscosity --- Damping, Shape deformation,,,
Numerical simulations are performed to study the dynamic motion of the droplet in the oscillating flow fields.
Levitation : electromagnetic, ultrasonic,,, Rotation : acoustic,,,
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Numerical Method (1)
Oscillating Boundary
Slip Boundary
Gas
Liquid Droplet
Oscillating Boundary
Incompressible + pseudo compressible
Arbitrary Lagrangian-Eulerian mesh with oscillation speed of boundary
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Numerical Method (2)Governing Equations for Fluid Motion
0 u
sFpuUutu )2(])(/[ D
sF|)|/(
Hlgl )( Hlgl )(
H
1
)]sin(1
1[2
1
0
),(
)(
)(
Continuity
Navier-Stokes
Surface Tension Force
Curvature
Interpolation
2/ cp Pseudo Compressibility
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Numerical Method (3)
Governing Equations for Level Set Function
0)(/ Uut
2/122 )/(|)|1(/
||)1)((/ AAo0
0
0
interface
Transport
Reinitialization
Mass Conservation
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Numerical Method (4)FDM: 2nd order Adams-Bashforth method 2nd order upwind difference SMAC method for pressure and velocity Bi-CGSTAB method for Poisson equationParallelization
Gas
Simulation region : 10 mm x 17 mm (100x170)Droplet radius : 2 mmTime step : 1.0e-6 s
Oscillation frequency : 20 kHzSound pressure : 0.25~0.5 kPa
Droplet : density = 998.2 kg/m3
viscosity = 0.998e-3 Ns/m2 surface tension = 0.0145 N/m Gas : density =1.166 kg/m3 viscosity = 1.819e-5 Ns/m2 sound speed = 340 m/s
Liquiddroplet
Oscillation
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x=-5.0sint : =6.0578s-1
190x100
Liu and Lin, J. Comp. Phys. 227(2008)p3921
Numerical Method (5) Validation : Sloshing Experiment
probe2 probe1 probe3
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Flow Field (1)
-0.0085
0.0085
0.0
pressure node : 0.0 pressure node : -0.0085
Vertical Position
Example of Pressure Distribution/Variation
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Pressure node
Flow Field (2)Velocity Field and Droplet Motion
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t=0.00 s 0.1 s 0.2 s0.05 s 0.15 s 0.25 s
Pressure node : middle
Flow Field (3)Velocity Field and Droplet Motion
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t=0.00 s 0.1 s 0.2 s0.05 s 0.15 s 0.25 s
Pressure node : bottom
Flow Field (4)Velocity Field and Droplet Motion
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t=0.00 s 0.1 s 0.2 s0.05 s 0.15 s 0.25 s
Pressure node : top
Flow Field (5)Velocity Field and Droplet Motion
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Pressure node
Bottom
Middle
-0.0085
0.0085
0.0
Vertical Position
Top
Flow Field (6)Droplet Position
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Comparison (1) Incompressible Case
t=0.00 s 0.1 s 0.2 s0.05 s 0.15 s 0.25 s
Pressure node : bottom
Pressure node : top
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Comparison (2)Stationary Droplet (oscillating container)
Oscillating Droplet (stationary container)
t=0.00 s 0.1 s 0.2 s0.05 s 0.15 s 0.25 s
scale x4
Stationary/Oscillating Droplet
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Tatsuno, Bull. Kyushu Univ. Appl. Mech., 128 (2005)p23
Comparison (3)Oscillating Circular Cylinderwith Experiment
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Summary
Motions of the droplet and the flow field in an oscillating container have been simulated numerically using the coupled level set and ALE method.
・ Upward and downward flows from the droplet surface to the container wall appeared in the oscillating direction.
・ The droplet moved toward the pressure node, but this is not the case for incompressible case.
・ Induced flow field was similar to the flow field around an oscillating droplet/cylinder.