Computer simulation of evolving capillary bridges in granular media. (English) Zbl 1258.76181
Summary: A numerical method for the simulation of spatially evolving liquid-vapour interfaces in arbitrary two dimensional granular media is presented. Solid- and liquid-phase objects are described by polynomials whose edges evolve according to surface tension forces until a prescribed equilibrium contact angle at three-phase contact points and a constant mean curvature on two-phase contact lines is achieved. The main advantage of the method is the possibility to account for topological transitions (interface coalescence or rupture) and direct calculation of the force acting on solid interfaces due to liquid bridges. The method has been validated by comparing numerical and analytical results for a single pendular liquid bridge and then demonstrated on the simulation of transition from the pendular to funicular and capillary state in a wet particle assembly.
Keywords:
liquid bridge; capillary force; contact angle; surface tension; topology; condensation; dryingSoftware:
Surface EvolverReferences:
| [1] | Brakke K.A. (1992). The surface evolver. Exp. Math. 1: 141–165 · Zbl 0769.49033 · doi:10.1080/10586458.1992.10504253 |
| [2] | Grof, Z., Cook, J., Lawrence, C.J., Štěpánek, F.: The interaction between small clusters of cohesive particles and laminar flow: a coupled DEM/CFD approach. J. Petrol. Sci. Eng. (2006) (submitted) |
| [3] | Grof Z., Kohout M. and Štěpánek F. (2007). Multi-scale simulation of needle-shaped particle breakage under uniaxial compaction. Chem. Eng. Sci. 62: 1418–1429 · doi:10.1016/j.ces.2006.11.033 |
| [4] | Iveson S.M., Litster J.D. and Hapgood K.P. (2001). Nucleation, growth and breakage phenomena in agitated wet granulation processes: a review. Powder Technol. 117: 3–39 · doi:10.1016/S0032-5910(01)00313-8 |
| [5] | Herminghaus S. (2005). Dynamics of wet granular matterr. Adv. Phys. 54: 221–261 · doi:10.1080/00018730500167855 |
| [6] | Kohout M., Grof Z. and Štěpánek F. (2006). Pore-scale modelling and tomographic visualisation of drying in granular media. J. Colloid Interface Sci. 299: 342–351 · doi:10.1016/j.jcis.2006.01.074 |
| [7] | Mitarai N. and Nori F. (2006). Wet granular materials. Adv. Phys. 55: 1–45 · doi:10.1080/00018730600626065 |
| [8] | Park J. and Moon J. (2006). Control of colloidal particle deposit patterns within picoliter droplets ejected by ink-jet printing. Langmuir 22: 3506–3513 · doi:10.1021/la053450j |
| [9] | Scardovelli R. and Zaleski S. (1999). Direct numerical simulation of free-surface and interfacial flow. Ann. Rev. Fluid Mech. 31: 567–603 · doi:10.1146/annurev.fluid.31.1.567 |
| [10] | Štěpánek F. and Ansari M.A. (2005). Computer simulation of granule microstructure formation. Chem. Eng. Sci. 60: 4019–4029 · doi:10.1016/j.ces.2005.02.030 |
| [11] | Štěpánek F. and Rajniak P. (2006). Droplet morphologies on particles with macroscopic surface roughness. Langmuir 22: 917–923 · doi:10.1021/la051901u |
| [12] | Štěpánek F., Šoós M. and Rajniak P. (2007). Characterization of porous media by the virtual capillary condensation method. Colloids Surf. A Physicochem. Eng. Asp. 300: 11–20 · doi:10.1016/j.colsurfa.2006.10.018 |
| [13] | Urso M.E.D., Lawrence C.J. and Adams M.J. (1999). Pendular, funicular, and capillary bridges: results for two dimensions. J. Colloid Interface Sci. 220: 42–56 · doi:10.1006/jcis.1999.6512 |
| [14] | Willett C.D., Adams M.J., Johnson S.A. and Seville J.P.K. (2000). Capillary bridges between two spherical bodies. Langmuir 16: 9396–9405 · doi:10.1021/la000657y |
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