Calculation Procedure For Conjugate Viscous Flows About And Inside Single Bubbles

Numerical Heat Transfer, Part B: Fundamentals

Volumn 43, Issue 3, 2003, Pages 241-265

  Lai, H ^a   Yan, Y Y ^a   Gentle, C R ^a  

^a NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); HEAT TRANSFER; SPECIFIC HEAT; VISCOSITY;

SINGLE BUBBLES;

VISCOUS FLOW;

EID: 0242576964     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/713836201     Document Type: Article

References (26)

1. G. Ryskin and L. G. Leal, Numerical Solution of Free-Boundary Problems in Fluid Mechanics. Part 1: The Finite-Difference Technique, J. Fluid Mech., vol. 148, pp. 1-17, 1984.
2. G. Ryskin and L. G. Leal, Numerical Solution of Free-Boundary Problems in Fluid Mechanics. Part 2: Buoyancy-Driven Motion of a Gas Bubble Through a Quiescent Liquid, J. Fluid Mech., vol. 148, pp. 19-35, 1984.
3. J. Hadamard, Mouvement permanent lent d’une sphere liquide et visqueuse dans un liquide visqueux, Compt. Rend., vol. 152, no. 25, pp. 1735-1738, 1911.
4. W. Rybszynski, On the Translatory Motion of a Fluid Sphere in a Viscous Medium, Bull. Int. de I’Acad. Polon. Sci. Lett., Classe des Sciences Mathematiques et Naturelles, A, pp. 40-46, 1911.
5. R. Clift, J. R. Grace, and M. E. Weber, Bubbles, Drops, and Particles, Academic Press, New York, San Francisco, London, 1978.
6. J. F. Harper, The Motion of Bubbles and Drops through Liquids, Adv. Appl. Mech., vol. 12, pp. 59-129, 1972.
7. Z. Zapryanov and S. Tabakova, Dynamics of Bubbles, Drops and Rigid Particles, Kluwer, Dordrecht, Boston, London, 1999.
8. W. Z. Li and Y. Y. Yan, An Alternating Dependent Variables (ADV) Method for Treating Slip Boundary Conditions of Free Surface Flows with Heat and Mass Transfer, Numer. Heat Transfer B, vol. 41, no. 2, pp. 165-189, 2002.
9. W. Z. Li and Y. Y. Yan, A Direct-Predictor Method for Solving Steady Terminal Shape of a Gas Bubble Rising through a Quiescent Liquid, Numer. Heat Transfer B, vol. 42, no. 1, 2002.
10. S. W. J. Welch, Direct Simulation of Vapour Bubble Growth, Int. J. Heat Mass Transfer, vol. 41, no. 12, pp. 1655-1666, 1998.
11. B. P. LeClair, A. E. Hamielec, H. R. Pruppacher, and W. D. Hall, A Theoretical and Experimental Study of the Internal Circulation in Water Drops Falling at Terminal Velocity in Air, J. Atmos. Sci., vol. 29, pp. 728-740, 1972.
12. V. Y. Rivkind and G. M. Ryskin, Flow Structure in Motion of a Spherical Drop in a Fluid Medium at Intermediate Reynolds Numbers, FluidDynam., vol. 11, pp. 5-12, 1976.
13. D. Dandy and L. G. Leal, Buoyancy-Driven Motion of a Deformable Drop through a Quiescent Liquid at Intermediate Reynolds Numbers, J. Fluid Mech., vol. 208, pp. 161-192, 1989.
14. G. Juncu, A Numerical Study of Steady Viscous Flow past a Fluid Sphere, Int. J. Heat Fluid Flow, vol. 20, pp. 414-421, 1999.
15. C. W. Hirt and B. D. Nichols, Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries, J. Comput. Phys., vol. 39, pp. 201-225, 1981.
16. S. O. Unverdi and G. Tryggvason, A Front-Tracking Method for Viscous, Incompressible, Multi-Fluid Flows, J. Comput. Phys., vol. 100, pp. 25-37, 1992.
17. S. Osher and J. A. Sethian, Fronts Propagating with Curvature Dependent Speed: Algorithm Based on Halmilton-Jacobi Formulations, J. Comput. Phys., vol. 79, pp. 12-49, 1988.
18. W. Shyy, H. S. Udaykumar, M. M. Rao, and R. W. Smith, Computational Fluid Dynamics with Moving Boundaries, Taylor & Francis, Philadelphia, PA, 1996.
19. Y. Salvador, Contribution to Numerical Simulation of Flow around a Deformable Bubble, Ph.D. thesis, E.C.N.-Universite de Nantes, 1994.
20. F. Raymond and J. M. Rosant, A Numerical and Experimental Staudy of the Terminal Velocity and Shape of Bubbles in Viscous Liquids, Chem. Eng. Sci., vol. 55, pp. 943-955, 2000.
21. V. Van Leer, Towards the Ultimate Conservative Difference Scheme. A Second-Order Sequel to Godunov’s Method, J. Comput. Phys., vol. 32, pp. 101-136, 1979.
22. H. Lai and Y. Y. Yan, The Effects of Choosing Dependent Variables and Cell-Face Velocities on Convergence of the SIMPLE Algorithm Using Non-orthogonal Grids, Int. J. Numer. Meth. Heat Fluid Flow, vol. 11, no. 6, pp. 524-546, 2001.
23. H. Lai, Y. Y. Yan, and J. M. Smith, A Calculation Procedure with Multi-block Iteration and Moving Mesh for Heat and Fluid Flows in Complex Time-Dependent Geometries, Int. J. Numer. Meth. Heat Fluid Flow, vol. 12, no. 2, pp. 106-125, 2002.
24. M. Furukawa, M. Yamasaki, and M. Inoue, A Zonal Approach for Navier-Stokes Computations of Compressible Cascade Flow Fields Using TVD Finite Volume Method, ASME J. Turbomachinery, vol. 113, pp. 573-582, 1991.
25. Y. Y. Yan, H. Lai, C. R. Gentle, and J. M. Smith, Numerical Analysis of Fluid Flows inside and around a Liquid Drop Using an Incorporation of Multi-block Iteration and Moving Mesh, Trans. ICHEM, vol. 80, part A, pp. 325-331, 2002.
26. R. A. Hartunian and W. R. Sear, On the Instability of Small Bubbles Moving Uniformly in Various Liquids, J. Fluid Mech., vol. 3, pp. 27-47, 1957.