journal article·2022

3D SIMULATION OF DROPLET IMPACT ON STATIC AND MOVING WALLS

Anil Yilmaz, Gökhan Kayansalçik, Özgür Ertunç

Atomization and Sprays· Volume 32· Issue 7
Publisher page

Abstract

In the present study, the contact angle model and the origin of the parasitic current, precisely, the relation of the parasitic current with grid distribution, have been studied to accurately predict droplet impact on static and moving walls in the volume of fluid (VOF) framework. The authors have quantitatively shown that the number of neighboring cells of the central cell influences the gradient calculations regarding the generation and spatial distribution of parasitic current. Accordingly, the polyhedral cell structure provides smoother interface gradient distribution than the Cartesian grid structure. After implementing a modified Kistler contact angle model in OpenFOAM and using the polyhedral grid for the simulations, we could accurately validate transient droplet shapes formed upon impact with those obtained from experiments. Droplet outcomes obtained, such as deposition, partial rebound, and split deposition on stationary and moving smooth surfaces, are consistent with experimental results.
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Research context

OpenAlex topics: Fluid Dynamics and Heat Transfer · Electrohydrodynamics and Fluid Dynamics · Pickering emulsions and particle stabilization

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References (34)

Show source-provided references
1. Afkhami, S. and Bussmann, M., Height Functions for Applying Contact Angles to 2D VOF Simulations, Int. J. Numer. Methods Fluids, vol. 57, no. 4, pp. 453-472,2008.10.1002/fld.1651 ↗
2. Amini Afshar, M., Numerical Wave Generation in OpenFOAM, 2010.
3. Berberovic, E., Investigation of Free-Surface Flow Associated with Drop Impact: Numerical Simulations and Theoretical Modeling, PhD, Technische Universite Darmstadt, 2010.
4. Berger, M.J. and Colella, P., Local Adaptive Mesh Refinement for Shock Hydrodynamics, J Comput. Phys, vol. 82, no. 1, pp. 64-84,1989.10.1016/0021-9991(89)90035-1 ↗
5. Bergmann, M. and Weynans, L., A Cartesian Method with Second-Order Pressure Resolution for Incom-pressible Flows with Large Density Ratios, Fluids, vol. 6, no. 11, p. 402,2021.10.3390/fluids6110402 ↗
6. Boger, M., Schlottke, J., Munz, C.D., and Weigand, B., Reduction of Parasitic Currents in the DNS VOF Code FS3D, in Proc. of 12th Workshop on Two-Phase Flow Predictions, Halle, Germany, 2010.
7. Brackbill, J.U., Kothe, D.B., and Zemach, C., A Continuum Method for Modeling Surface Tension, J. Comput. Phys, vol. 100, no. 2, pp. 335-354,1992.10.1016/0021-9991(92)90240-Y ↗
8. Chen, R. and Wang, H., Effects of Tangential Speed on Low-Normal-Speed Liquid Drop Impact on a Non-Wettable Solid Surface, Exp. Fluids, vol. 39, no. 4, pp. 754-760,2005.10.1007/s00348-005-0008-6 ↗
9. Crank, J. andNicolson, P., A Practical Method for Numerical Evaluation of Solutions of Partial Differential Equations of the Heat-Conduction Type, Math. Proc. Cambridge Philos. Soc., vol. 43, pp. 50-67,1947.10.1017/S0305004100023197 ↗
10. Eisenschmidt, K., Ertl, M., Gomaa, H., Kieffer-Roth, C., Meister, C., Rauschenberger, P., Reitzle, M., Schlottke, K., and Weigand, B., Direct Numerical Simulations for Multiphase Flows: An Overview of the Multiphase Code FS3D, Appl. Math. Comput, vol. 272, pp. 508-517,2016.10.1016/j.amc.2015.05.095 ↗
11. Extrand, C.W. and Kumagai, Y., Liquid Drops on an Inclined Plane: The Relation between Contact Angles, Drop Shape, and Retentive Force, J. Colloid Interface Sci., vol. 170, no. 2, pp. 515-521,1995.10.1006/jcis.1995.1130 ↗
12. Ferziger, J.H., Peric, M., and Street, R.L., Computational Methods for Fluid Dynamics, Vol. 3, Berlin: Springer, 2002.10.1007/978-3-642-56026-2 ↗
13. Harvie, D.J., Davidson, M., and Rudman, M., An Analysis of Parasitic Current Generation in Volume of Fluid Simulations, Appl. Math. Model, vol. 30, no. 10, pp. 1056-1066,2006.
14. Heidarifatasmi, H., Simulations of Droplet Impacts on Hydrophobic Moving Walls, Master's, Ozyegin University, 2017.
15. Heidarifatasmi, H. and Ertunc, O., Simulations of Droplet Impacts on Hydrophobic Moving Walls, 3rd Int. Conf. on Droplets, UCLA, Los Angeles, USA, 2017.
16. Hirt, C.W. and Nichols, B.D., Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries, J. Comput. Phys, vol. 39, no. 1, pp. 201-225,1981.10.1016/0021-9991(81)90145-5 ↗
17. Hoffman, R.L., A Study of the Advancing Interface. I. Interface Shape in Liquid-Gas Systems, J. Colloid Interface Sci., vol. 50, no. 2, pp. 228-241,1975.10.1016/0021-9797(75)90225-8 ↗
18. Issa, R.I., Solution of the Implicitly Discretised Fluid Flow Equations by Operator-Splitting, J. Comput. Phys, vol. 62, no. 1, pp. 40-65,1986.10.1016/0021-9991(86)90099-9 ↗
19. Jian, Z., Josserand, C., Popinet, S., Ray, P., and Zaleski, S., Two Mechanisms of Droplet Splashing on a Solid Substrate, J. FluidMech, vol. 835, pp. 1065-1086,2018.
20. Kang, M., Fedkiw, R.P., and Liu, X.D., A Boundary Condition Capturing Method for Multiphase Incom-pressible Flow, J. Sci. Comput, vol. 15, no. 3, pp. 323-360,2000.
21. Kawasaki, K., Matsuura, S., and Sakatani, T., Validation of Free Surface Analysis Method in Three Dimen-sional Computational Fluid Dynamics Tool OpenFOAM, J. Jpn. Soc. Civil Eng., Ser. B, vol. 3, p. 69, 2013.10.2208/jscejoe.69.I_748 ↗
22. Kayansalcik, G., Experimental Investigation of Droplet Impact on Moving Surfaces, Master's, Ozyegin University, 2018.
23. Kistler, S.F., Hydrodynamics of Wetting, Wettability, vol. 6, pp. 311-430,1993.
24. Okagaki, Y., Yonomoto, T., Ishigaki, M., and Hirose, Y., Numerical Study on an Interface Compression Method for the Volume of Fluid Approach, Fluids, vol. 6, no. 2, p. 80,2021.10.3390/fluids6020080 ↗
25. Osher, S. and Sethian, J.A., Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations, J. Comput. Phys, vol. 79, no. 1, pp. 12-49,1988.10.1016/0021-9991(88)90002-2 ↗
26. Popinet, S., Gerris: A Tree-Based Adaptive Solver for the Incompressible Euler Equations in Complex Geometries, J. Comput. Phys, vol. 190, no. 2, pp. 572-600,2003.10.1016/S0021-9991(03)00298-5 ↗
27. Popinet, S., A Quadtree-Adaptive Multigrid Solver for the Serre-Green-Naghdi Equations, J. Comput. Phys.., vol. 302, pp. 336-358,2015.10.1016/j.jcp.2015.09.009 ↗
28. Rioboo,R., Marengo, M., andTropea, C., Time Evolution of Liquid Drop Impact onto Solid, Dry Surfaces, Exp. Fluids, vol. 33, no. 1, pp. 112-124,2002.10.1007/s00348-002-0431-x ↗
29. Rusche, H., Computational Fluid Dynamics of Dispersed Two-Phase Flows at High Phase Fractions, PhD, Imperial College London (University of London), 2003.
30. Shikhmurzaev, Y.D., Capillary Flows with Forming Interfaces, Boca Raton, FL: Chapman and Hall/CRC, 2007.10.1201/9781584887492 ↗
31. Siemens PLM Software, Simcenter STAR-CCM+R Documentation Version 13.06 User Manual, 2018.
32. Vontas, K., Andredaki, M., Georgoulas, A., Nikas, K., and Marengo, M., Numerical Investigation of Droplet Impact on Smooth Surfaces with Different Wettability Characteristics: Implementation of a Dynamic Contact Angle Treatment in Openfoam, in Proc. of ILASS Europe, 28th European Conf. on Liquid Atomization and Spray Systems, Valencia, Spain, pp. 58-65,2017.
33. Wildeman, S., Visser, C.W., Sun, C., and Lohse, D., On the Spreading of Impacting Drops, J. Fluid Mech, vol. 805, pp. 636-655,2016.10.1017/jfm.2016.584 ↗
34. Zalesak, S.T., Fully Multidimensional Flux-Corrected Transport Algorithms for Fluids, J. Comput. Phys, vol. 31, no. 3, pp. 335-362,1979.10.1016/0021-9991(79)90051-2 ↗