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研究生: 阮文宏
Nguyen Van
論文名稱: 由熱毛細對流所造成非融合現象之數值模擬分析研究
Numerical Computation of Noncoalescence Phenomenon Induced by Thermocapillary Convection
指導教授: 陳志臣
Jyh-Chen Chen
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系在職專班
Executive Master of Mechanical Engineering
畢業學年度: 98
語文別: 英文
論文頁數: 56
外文關鍵詞: Thermocapillary convection, Noncoalescence
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  • In this thesis, the noncoalescence phenomenon of two silicone oil droplets induced by thermocapillary convection is numerically investigated by the finite element method. The Arbitrary Lagrangian-Eulerian and conservative level set methods are used to trace the moving and deforming droplet/air interface. The noncoalescence is attributed to the existence a self-lubricating air film between two droplets to separate them from coming into contact, which is generated by the thermocapillary convection. The effect of temperature difference, interstitial film thickness between the two droplets, and silicone-oil viscosity on the ability of thermocapillary convection in the coalescent suppression is considered.
    The numerical results indicate that the thermocapillary convection affects the deformation of the droplet shape. The ability of thermocapillary convection can be enhanced by the increase of the temperature difference or the reduction of the interstitial film thickness and the decrease of the liquid viscosity. The deformation of droplet/air interfaces might also be enlarged with the stronger thermocapillary convection. Moreover, the air velocity swept by the motion of silicone-oil into the lubricating air film would be higher and hence, the coalescencing suppression is improved.


    In this thesis, the noncoalescence phenomenon of two silicone oil droplets induced by thermocapillary convection is numerically investigated by the finite element method. The Arbitrary Lagrangian-Eulerian and conservative level set methods are used to trace the moving and deforming droplet/air interface. The noncoalescence is attributed to the existence a self-lubricating air film between two droplets to separate them from coming into contact, which is generated by the thermocapillary convection. The effect of temperature difference, interstitial film thickness between the two droplets, and silicone-oil viscosity on the ability of thermocapillary convection in the coalescent suppression is considered.
    The numerical results indicate that the thermocapillary convection affects the deformation of the droplet shape. The ability of thermocapillary convection can be enhanced by the increase of the temperature difference or the reduction of the interstitial film thickness and the decrease of the liquid viscosity. The deformation of droplet/air interfaces might also be enlarged with the stronger thermocapillary convection. Moreover, the air velocity swept by the motion of silicone-oil into the lubricating air film would be higher and hence, the coalescencing suppression is improved.

    Abstract. i Table of contents. ii Figure captions. iv Table captions. vii Nomenclature. viii Chapter 1. Introduction. 1 1.1 Overview of noncoalescence phenomenon induced by thermocapillary convection. 1 1.2 Objective and scope of the thesis. 5 Chapter 2. Physical Problems. 6 2.1 Model description. 6 2.2 Mathematical formulations. 7 2.3 Initial and boundary conditions. 8 Chapter 3. Computational Method. 9 3.1 Numerical methods for tracking interface. 9 3.2 The conservative level set method. 10 3.3 The moving mesh (ALE) method. 12 3.4 Computational tool. 14 3.5 Solving processes. 14 3.6 Convergent test. 16 3.7 The cases for computation. 16 Chapter 4. Results and Discussions. 18 4.1 The effect of temperature differences. 20 4.2 The effect of reducing interstitial film thickness. 23 4.3 The effect of different silicone-oil viscosities. 25 Chapter 5. Conclusion. 27 Chapter 6. References. 28

    1. G. P. Neitzel, P. Dell’Aversana, “Noncoalescence and nonwetting behavior of liquids”, Annu. Rev. Fluid Mech. 34, (2002), pp. 267–289
    2. M. K. Smith, G. P. Neitzel, “Multiscale modelling in the numerical computation of isothermal non-wetting”, J. Fluid Mech. 554, (2006), pp. 67–83
    3. L. G. Napolitano, R. Monti, G. Russo, “Marangoni Convection in One and Two Liquids Floating Zones”, Naturwissenschaften 73, (1986), pp. 352-355
    4. P. Dell’aversana, R. Monti, F. Gaeta, “Marangoni flows and coalescence phenomena in microgravity”, Adv. Space Res. 16, (1995), pp. 95-98
    5. P. Dell’Aversana, J. R. Banavar, J. Koplik, “Suppression of coalescence by shear and temperature gradients”, Phys. Fluids 8, (1996), pp. 15–28
    6. R. Monti, R. Savino, S. Tempesta, “Wetting prevention by thermal Marangoni effect. Experimental and numerical simulation”, Eur. J. Mech. B 17, (1998), pp. 51-77
    7. L. B. S. Sumner, A. M. Wood, G. P. Neitzel, “Lubrication analysis of thermocapillary-induced nonwetting”, Phys. Fluids 15, (2003), pp. 2923-2933
    8. R. Savino, F. Nota, S. Fico, “Wetting and coalescence prevention of drops in a liquid matrix. Ground and parabolic flight results”, International Journal of Microgravity, Science and Technology 14, (2003), pp. 3-12
    9. P. Dell’Aversana, G. P. Neitzel, “Behavior of noncoalescing and nonwetting drops in stable and marginally stable states”, Exp. Fluids 36, (2004), pp. 299–308
    10. J. C. Chen, C. W. Kuo, G. P. Neitzel, “Numerical simulation of thermocapillary nonwetting”, International Journal of Heat and Mass Transfer 49, (2006), pp. 4567–4576
    11. G. P. Neitzel, P. Dell’aversana, V. Tontodonato, M. R. Vetrano, “Principles, limits and microgravity applications of self lubricated liquids”, Microgravity Res. Appl. Phys. Sci. Biotech., Proceedings of the First Int. Symp., Sorrento, Italy, (2000)
    12. C. W. Kuo, J. C. Chen, G. P. Neitzel, “Numerical simulation of isothermal nonwetting”, Int. J. Numer. Meth. Fluids 53, (2007), pp. 257–275
    13. P. Dell’Aversana, V. Tontodonato, L. Carotenuto, “Suppression of coalescence and of wetting: The shape of the interstitial film”, Phys. Fluids 9, (1997), pp. 2475–2485
    14. P. Dell’Aversana, G. P. Neitzel, “When liquids stay dry”, Physics Today 51, (1998), pp. 38–41
    15. R. Savino, R. Monti, F. Nota, R. Fortezzab, L. Carotenuto, C. Piccolo, “Preliminary results of the sounding rocket experiment on wetting and coalescence prevention by Marangoni effect”, Acta Astronautica 55, (2004), pp. 169–179
    16. R. Monti, R. Savino, “Correlation between experimental results and numerical solutions of the Navier–Stokes problem for noncoalescing liquid drops with Marangoni effects”, Phys. Fluids 9, (1997), pp. 260–262
    17. R. Savino, R. Monti, “Modelling of noncoalescing liquid drops in the presence of thermocapillary convection”, Meccanica 32, (1997), pp. 115–133
    18. P. Gennes, F. Brochard-Wyart, D. Quere, “Capillarity and wetting phenomenon”, Translated by Axel Reisinger, Springer-Verlag, New York, (2004)
    19. S. Ostrach, “Low-gravity fluid flow”, Annu. Rev. Fluid Mech. 14, (1982), pp. 313–345
    20. W. J. Rider, D. B. Kothe, “Reconstructing Volume Tracking”, J. Computational Physics 141, (1998), pp. 112–152
    21. S. O. Univerdi, G. Tryggvason, “A front tracking method for viscous, incompressible, multi-fluid flows”, J. Computational Physics 100, (1992), pp. 25–37
    22. J. A. Sethian, P. Smereka, “Level set methods for fluid interfaces”, Annu. Rev. Fluid Mech. 35, (2003), pp. 341–72
    23. W. B. J. Zimmerman, “Multiphysics modeling with finite element mehods”, World Scientific Publishing Co. Pte. Ltd, Series A, Vol. 18, (2006)
    24. E. Olsson, G. Kreiss, “A conservative level set method for two phase flow”, Journal of Computational Physics 210, (2005), pp. 225–246
    25. E. Olsson, G. Kreiss, “A conservative level set method for two phase flow II”, Journal of Computational Physics 225, (2007), pp. 785-807
    26. COMSOL Multiphysics 3.4, Chemical Engineering
    27. E. Uzgoren, R. Singh, J. Sim, W. Shyy, “Computational modeling for multiphase flows with spacecraft application”, Progress in Aerospace Sciences 43, (2007), pp. 138–192
    28. S. Ganesan, L. Tobiska, “Computations of flows with interfaces using arbitrary Lagrangian-Eulerian method”, Proceedings of the ECCOMAS CFD, Egmond aan Zee, The Netherlands, (2006)
    29. F. Nobile, “Numerical approximation of fluid-structure interaction problems with application to haemodynamics”, PhD Thesis, École Polytechnique Fédérale de Lausanne, Switzerland, (2001)
    30. D. Hectors, E. Toorman, K. V. Reusel, “Modelling of levitation melting using a fixed mesh method”, International Scientific Colloquium, Hannover, (2008)
    31. COMSOL Multiphysics 3.4, Modeling Guide
    32. COMSOL Multiphysics 3.4, User’s Guide

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