Numerical simulation of bubble formation on orifice plates with a moving contact line

International Journal of Multiphase Flow

Volumn 35, Issue 1, 2009, Pages 66-77

  Chen, Yuming ^a   Mertz, Rainer ^a   Kulenovic, Rudi ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE FORMATION; COMPUTER SIMULATION; CONTACT ANGLE; FORECASTING; SLIP FORMING; THEOREM PROVING;

BUBBLE DEPARTURE DIAMETERS; CONTACT LINES; MOVING CONTACT LINES; NUMERICAL SIMULATIONS; NUMERICAL TESTS; ORIFICE PLATES; RECEDING CONTACTS; SIGNIFICANT IMPACTS; SLIP MODELS; SMALL REGIONS; THIN-WALLED; VELOCITY DEPENDENTS;

ORIFICES;

EID: 56549089646     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2008.07.007     Document Type: Article

References (46)

1. Bayer I.S., and Megaridis C.M. Contact angle dynamics in droplets impacting on flat surfaces with different wetting characteristics. J. Fluid Mech. 558 (2006) 415-449
2. Blake T.D., Bracke M., and Shikhmurzaev Y.D. Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle. Phys. Fluids 11 (1999) 1995-2007
3. Brackbill J.U., Kothe D.B., and Zemach C. A continuum method for modeling surface tension. J. Comput. Phys. 100 (1992) 335-354
4. Chen, Y., Kulenovic, R., Mertz, R., 2008. Numerical study on the formation of Taylor bubbles in capillary tubes. Int. J. Thermal Sci. doi:10.1016/j.ijthermalsci.2008.01.004.
5. Chigarev N.B., and Chigareva T.S. Variation of the contact angle in the quasistatic growth of a vapor bubble on a horizontal surface in boiling liquid. J. Eng. Phys. Thermophys. 51 (1986) 398-401
6. Chorin A. Numerical solution of the Navier-Stokes equations. Math. Comp. 22 (1968) 745-762
7. Cox R.G. The dynamics of the spreading of liquids on a solid surface, Part I. Viscous flow. J. Fluids Mech. 168 (1986) 169-194
8. Diez J.A., Kondic L., and Bertozzi A. Global models for moving contact lines. Phys. Rev. E 63 (2000) 011208
9. Drelich J., Miller J.D., and Good R.J. The effect of drop (bubble) size on advancing and receding contact angles for heterogeneous and rough solid surfaces as observed with sessile-drop and captive-bubble techniques. J. Colloid Interface Sci. 179 (1996) 37-50
10. Duhar G., and Colin C. Dynamics of bubble growth and detachment in a viscous shear flow. Phys. Fluids 18 (2006) 077101
11. Dupont J.B., Legendre D., and Morgante A.M. Numerical Simulation of Static or Sliding Drop with Hystersis Contact Line. Sixth Int. Conf. Multiphase Flow (2007), Leipzig, Germany
12. Dussan E.B., Rame E., and Garoff S. On identifying the appropriate boundary conditions at a moving contact line: an experimental investigation. J. Fluid Mech. 230 (1991) 97-116
13. Francois M., and Shyy W. Computations of drop dynamics with the immersed boundary method, Part 2: drop impact and heat transfer. Numer. Heat Transfer B 44 (2003) 119-143
14. Fritz W. Berechnung des Maximalvolumens von Dampfblasen. Phys. Z. 36 (1935) 379-388
15. Fukai J., Shiiba Y., Yamamoto T., et al. Wetting effects on the spreading of a liquid droplet colliding with a flat surface: experiment and modeling. Phys. Fluids 7 (1995) 236-247
16. Gelach D., Alleborn N., Buwa V., and Durst F. Numerical simulation of periodic bubble formation at a submerged orifice with constant gas flow rate. Chem. Eng. Sci. 62 (2007) 2109-2125
17. Gnyloskurenko S.V., Byakova A.V., Raychenko O.I., and Nakamura T. Influence of wetting conditions on bubble formation at orifice in an inviscid liquid: transformation of bubble shape and size. Colloids Surf. A 218 (2003) 73-87
18. Hsu S.-H., Lee W.-H., Yang Y.-M., Chang C.-H., and Maa J.-R. Bubble formation at an orifice in surfactant solutions under constant-flow conditions. Ind. Eng. Chem. Res. 39 (2000) 1473-1479
19. Huang H., Liang D., and Wetton B. Computation of a moving drop/bubble on a solid surface using a front-tracking method. Commun. Math. Sci. 2 (2004) 535-552
20. Jamialahmadi M., Zehtaban M.R., Mueller-Steinhagen H., Sarrafi A., and Smith J.M. Study of bubble formation under constant flow conditions. Trans. IchemE 79 (2001) 523-532
21. Jensen M.K., and Memmel G.J. Evaluation of bubble departure diameter correlations. Eighth Int. Heat Transfer Conf. 4 (1986) 1907-1912
22. Kalliadasis S., and Chang H.-C. Apparent dynamic contact angle of an advancing gas-liquid meniscus. Phys. Fluids 6 (1994) 12-23
23. Kandlikar S.G., and Steinke M.E. Contact angle and interface behavior during rapid evaporation of liquid on a heated surface. Int. J. Heat Mass Transfer 45 (2002) 3771-3780
24. Kistler S.F. Hydrodynamics of wetting. In: Berg J.C. (Ed). Wettability (1993), Marcel Dekker, New York 311
25. Liow J.-L., and Gray N.B. A model of bubble growth in wetting and non-wetting liquids. Chem. Eng. Sci. 43 (1988) 3129-3139
26. Marmur A., and Rubin E. Equilibrium shapes and quasi-static formation of bubbles at submerged orifices. Chem. Eng. Sci. 28 (1973) 1455-1464
27. Marmur A., and Rubin E. A theoretical model for bubble formation at an orifice submerged in an inviscid liquid. Chem. Eng. Sci. 31 (1976) 453-463
28. Mazouchi A., Gramlich C.M., and Homsy G.M. Time-dependent free surface Stokes flow with a moving contact line, I. Flow over plane surfaces. Phys. Fluids 16 (2004) 1647-1659
29. Mukherjee A., and Kandlikar S.G. Numerical study of single bubbles with dynamic contact angle during nucleate pool boiling. Int. J. Heat Mass Transfer 50 (2007) 127-138
30. Oguz H.N., and Prosperetti A. Dynamics of bubble growth and detachment from a needle. J. Fluid Mech. 257 (1993) 111-145
31. Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
32. Pasandideh-Fard M., Qiao Y.M., Chandra S., and Mostaghimi J. Capillary effects during droplet impact on a solid surface. Phys. Fluids 8 (1996) 650-659
33. Ramakrishnan S., Kumar R., and Kuloor N.R. Studies in bubble formation - I Bubble formation under constant flow conditions. Chem. Eng. Sci. 24 (1969) 731-747
34. Renardy M., Renardy Y., and Li J. Numerical simulation of moving contact line problems using a volume-of-fluid method. J. Comput. Phys. 171 (2001) 243-263
35. Schimann, H.C.R., 2004. Force and Energy Measurement of Bubble-Particle Detachment. Master Thesis. Virginia Polytechnic Institute and State University.
36. Shikhmurzaev Y.D. Moving contact lines in liquid/liquid/solid systems. J. Fluid Mech. 334 (1997) 211-249
37. Shu C.-W. High-order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD. Int. J. Comput. Fluid Dyn. 17 (2003) 107-118
38. Sikalo S., Wilhelm H.D., Roisman I.V., Jakirlic S., and Tropea C. Dynamic contact angle of spreading droplets: experiments and simulations. Phys. Fluids 17 (2005) 062103
39. Smith K.A., Ottino J.M., and Warren P.B. Simple representation of contact-line dynamics in a level-set model of an immiscible fluid interface. Ind. Eng. Chem. Res. 44 (2005) 1194-1198
40. Somalinga S., and Bose A. Numerical investigation of boundary conditions for moving contact line problems. Phys. Fluids 12 (2000) 499-510
41. Son G., Dhir V.K., and Ramanujapu N. Dynamics and heat transfer associated with a single bubble during nucleate boiling on a horizontal surface. J. Heat Transfer 121 (1999) 623-631
42. Spelt P.D.M. A level-set approach for simulations of flows with multiple moving contact lines with hysteresis. J. Comput. Phys. 207 (2005) 389-404
43. Stephan P., and Hammer J. A new model for nucleate boiling heat transfer. Wärme Stoffübertrag. 30 (1994) 119-125
44. Stoev K., Rame E., Leonhardt T., and Garoff S. The effects of thin films on the hydrodynamics near moving contact lines. Phys. Fluids 10 (1998) 1793-1803
45. Sussman M., and Fatemi E. An efficient, interface preserving level set re-distancing algorithm and its application to interfacial incompressible flow. SIAM J. Sci. Comp. 20 (1999) 1165-1191
46. Xiao Z., and Tan R.B.H. An improvement model for bubble formation using the boundary-integral method. Chem. Eng. Sci. 60 (2005) 179-186