Numerical Simulation of Droplets’Dynamic Wetting Process With the Phase Field Method

LI Jiayu; ZENG Zhong; QIAO Long

doi:10.21656/1000-0887.400129

Volume 40 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2019 > 40(9): 957-967

LI Jiayu, ZENG Zhong, QIAO Long. Numerical Simulation of Droplets’Dynamic Wetting Process With the Phase Field Method[J]. Applied Mathematics and Mechanics, 2019, 40(9): 957-967. doi: 10.21656/1000-0887.400129

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Numerical Simulation of Droplets’Dynamic Wetting Process With the Phase Field Method

doi: 10.21656/1000-0887.400129

College of Aerospace Engineering, Chongqing University, Chongqing 400044, P.R.China

Funds: The National Natural Science Foundation of China（11572062）

Received Date: 2019-04-01
Rev Recd Date: 2019-04-09
Publish Date: 2019-09-01

Abstract

Abstract

Dynamic wetting phenomena of droplets are widely observed in nature and industrial production, the numerical research of which needs a solution of singularity and a correct model of the dynamic contact angle. Based on the phase field method (PFM) and the modified dynamic contact angle model, a 2-phase flow numerical method with dynamic wetting effects was developed, and the related program was realized on the OpenFOAM platform. The dynamic process of droplets impacting on a wall was simulated, and the comparison of the computation results of different contact angle models was conducted. The results indicate that the contact angle model influences the dynamic wetting process simulation significantly; the results of the proposed method are in good agreement with those of the experiment, which shows the proposed method is effective in the simulation of dynamic wetting phenomena.
- phase field method,
- dynamic contact angle,
- dynamic wetting phenomenon,
- droplet impacting

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References(27)

References

[1]	FENG L, LI S, LI Y, et al. Super-hydrophobic surfaces: from natural to artificial[J]. Advanced Materials,2002,14(24): 1857-1860.
[2]	YARIN A L. Drop impact dynamics: splashing, spreading, receding, bouncing...[J]. Annual Review of Fluid Mechanics,2006,38(1): 159-192.
[3]	HUE P L. Progress and trends in ink-jet printing technology[J]. Journal of Imaging Science and Technology,1998,42: 49-62.
[4]	YOUNG T. An essay on the cohesion of fluids[J]. Philosophical Transactions of the Royal Society of London,1805,95: 65-87.
[5]	HUH C, SCRIVEN L E. Hydrodynamic model of steady movement of a solid/liquid/fluid contact line[J]. Journal of Colloid and Interface Science,1971,35(1): 85-101.
[6]	DUSSAN E B. On the spreading of liquids on solid surfaces: static and dynamic contact lines[J]. Annual Review of Fluid Mechanics,1979,11(1): 371-400.
[7]	DE GENNES P G. Wetting: statics and dynamics[J]. Reviews of Modern Physics,1985,57(3): 827-863.
[8]	JACQMIN D. Contact-line dynamics of a diffuse fluid interface[J]. Journal of Fluid Mechanics,2000,402: 57-88.
[9]	[9］COX R G. The dynamics of the spreading of liquids on a solid surface, part 1: viscous flow[J]. Journal of Fluid Mechanics,1986,168(1): 169-194.
[10]	VOINOV O V. Hydrodynamics of wetting[J]. Fluid Dynamics,1977,11(5): 714-721.
[11]	HOCKING L M. The spreading of a thin drop by gravity and capillarity[J]. The Quarterly Journal of Mechanics and Applied Mathematics,1983,36(1): 55-69.
[12]	TANNER L H. The spreading of silicone oil drops on horizontal surfaces[J]. Journal of Physics D: Applied Physics,1979,12(9): 1473-1484.
[13]	UNVERDI S O, TRYGGVASON G. A front-tracking method for viscous, incompressible, multi-fluid flows[J]. Journal of Computational Physics,1992,100(1): 25-37.
[14]	HIRT C W, NICHOLS B D. Volume of fluid (VOF) method for the dynamics of free boundaries[J]. Journal of Computational Physics,1981,39(1): 201-225.
[15]	OSHER S, SETHIAN J A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations[J]. Journal of Computational Physics,1988,79(1): 12-49.
[16]	JACQMIN D. Calculation of two-phase Navier-Stokes flows using phase-field modeling[J]. Journal of Computational Physics,1999,155(1): 96-127.
[17]	DING H, SPELT P D M. Inertial effects in droplet spreading: a comparison between diffuse-interface and level-set simulations[J]. Journal of Fluid Mechanics,2007,〖STHZ〗 576: 287. DOI: 10.1017/S0022112007004910.
[18]	QIAO L, ZENG Z, XIE H, et al. Modeling thermocapillary migration of interfacial droplets by a hybrid lattice Boltzmann finite difference scheme[J]. Applied Thermal Engineering,2018,131: 910-919.
[19]	周平, 曾忠, 乔龙. 假塑性流体液滴撞击壁面上的铺展的格子Boltzmann模拟[J]. 重庆大学学报, 2018,41(12): 1-9.(ZHOU Ping, ZENG Zhong, QIAO Long. 〖JP2〗Simulation of shear-thinning droplets impact on solid surfaces by using lattice Boltzmann method[J]. Journal of Chongqing University,2018,41(12): 1-9.(in Chinese))〖JP〗
[20]	YOKOI K, VADILLO D, HINCH J, et al. Numerical studies of the influence of the dynamic contact angle on a droplet impacting on a dry surface[J]. Physics of Fluids,2009,21(7): 072102. DOI: 10.1063/1.3158468.
[21]	CAHN J W, HILLIARD J E. Free energy of a nonuniform system Ⅲ: nucleation in a two-component incompressible fluid[J]. The Journal of Chemical Physics,1959,31(3): 688-699.
[22]	CHELLA R, VIALS J. Mixing of a two-phase fluid by cavity flow[J]. Physical Review E,1996,53(4): 3832-3840.
[23]	DING H, SPELT P D. Wetting condition in diffuse interface simulations of contact line motion[J]. Physical Review E,2007,75(4): 046708. DOI： 10.1103/PhysRevE.75.046708.
[24]	PASANDIDEH-FARD M, AZIZ S D, CHANDRA S, et al. Cooling effectiveness of a water drop impinging on a hot surface[J]. International Journal of Heat and Fluid Flow,2001,22(2): 201-210.
[25]	OLSSON E, KREISS G, ZAHEDI S. A conservative level set method for two phase flow[J]. Journal of Computational Physics,2007,225: 785-807.
[26]	JASAK H. Error analysis and estimation for finite volume method with applications to fluid flow[D]. PhD Thesis. London: Imperial College London, 1996.
[27]	DUPONT J B, LEGENDRE D. Numerical simulation of static and sliding drop with contact angle hysteresis[J]. Journal of Computational Physics,2010,229(7): 2453-2478.