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Research Papers: Multiphase Flows

Development of a New Contact Angle Control Algorithm for Level-Set Method

[+] Author and Article Information
Mengnan Li

Department of Nuclear Engineering,
North Carolina State University,
Raleigh, NC 27695-7909
e-mail: mli21@ncsu.edu

Kaiyue Zeng

Department of Nuclear Engineering,
North Carolina State University,
Raleigh, NC 27695-7909
e-mail: kzeng2@ncsu.edu

Louis Wonnell

Department of Mechanical and
Nuclear Engineering,
Kansas State University,
Manhattan, KS 66506
e-mail: lwonnell@ksu.edu

Igor A. Bolotnov

Department of Nuclear Engineering,
North Carolina State University,
Raleigh, NC 27695-7909
e-mail: igor_bolotnov@ncsu.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 19, 2018; final manuscript received November 2, 2018; published online December 24, 2018. Assoc. Editor: Riccardo Mereu.

J. Fluids Eng 141(6), 061301 (Dec 24, 2018) (16 pages) Paper No: FE-18-1281; doi: 10.1115/1.4041987 History: Received April 19, 2018; Revised November 02, 2018

A contact angle control algorithm is developed and implemented in the multiphase interface tracking flow solver—phasta. The subgrid force model is introduced to control the evolving contact angle. The contact angle force is applied when the current contact angle deviates from the desired value (or range of values) and decreases to zero when it reaches the desired value. The single bubble departure simulation and the capillary flat plates simulation are performed for verification purpose. The numerical results are compared with the analytical solution with good agreement. The mesh resolution sensitivity analysis and parametric study are conducted for both simulations. Coupled with the other existing capabilities in phasta like evaporation and condensation algorithm, the contact angle control algorithm will allow us to investigate the boiling phenomenon in various conditions with lower cost (by utilizing localized mesh refinement for bubble growth region) compared to uniformly refined structured meshes and in engineering geometries.

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References

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Figures

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Fig. 1

The mesh design of bubble departure case

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Fig. 2

The schematic plot of contact angle calculation

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Fig. 3

The schematic plot of target contact angle function

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Fig. 4

The decision-making procedure for contact angle control modeling

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Fig. 5

The schematic of contact angle control force application

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Fig. 6

The schematic plot of F1 function

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Fig. 7

Force balance analysis for the single bubble on the wall: (a) bubble division for force analysis and (b) force applied on the bubble

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Fig. 8

The initial condition of single bubble departure case

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Fig. 13

The schematic of capillary effect verification case

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Fig. 10

The contact angle evolution history for different target contact angles

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Fig. 9

The bubble departure process for different target contact angles. The surface tension is equal to 0.0729 N/m in the simulations. CA indicates the prescribed target contact angle. It is noted that only the near-departure screenshots are shown here, and the first column is not the initial contact angle of the bubble. The gray level indicates the velocity magnitude field.

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Fig. 14

The domain design of the capillary effect verification case. The gray color region on the left represented the computational domain. The zoom-in picture on the right shows the boundary layer mesh design.

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Fig. 15

The mesh design for mesh resolution sensitivity study. The zoom-in figures show only part of the capillary domain. The elements parallel to the wall surface are boundary layer elements.

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Fig. 16

The simulation results of capillary effect case (the coarsest mesh is on the left side while the finest one is on the right side). The target contact angle in this case is 45deg.

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Fig. 17

The evolution of liquid rise and observed contact angle for different mesh sizes

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Fig. 12

The contact angle evolution against time for different meshes

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Fig. 11

The contact angle evolution for critical contact angle simulation

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Fig. 18

Screenshots of liquid rise between the flat plates for different contact angles

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Fig. 19

The evolution of liquid rise and observed contact angle simulation for different contact angles

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