Summary
A numerical method for two-dimensional unsteady free-surface flows including effects of surface-tension was developed to investigate the convection generated by vapour bubbles in nucleate boiling systems. This paper presents the incorporation of the free-surface conditions into the implicit segregated solution approach for the incompressible Navier-Stokes-equations. The finite-volume discretization is based on the physical contravariant velocity components in a staggered boundary-fitted grid. The results for non-steadily departing and rising bubbles compare well with experimental data from the high-speed cinematography.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Ahlberg, H.H., Nilson, E.N., Walsh, J.L. The Theory of Splines and their Applications. New York: Academic Pr., 1967.
Burow, P. Die Berechnung des Blasenwachstums beim Sieden von Flüssigkeiten an Heizflächen als numerische Lösung der Erhaltungsgleichungen. Dissertation, TH Darmstadt, 1979.
Claes, D. Numerische Simulation von instationären Strömungen mit freien Oberflächen am Beispiel ablösender und aufsteigender Blasen. Dissertation, Ruhr-Univ. Bochum, in preparation.
Demirdžić, I.A. A Finite Volume Method for Computation of Fuid Flow in Complex Geometries. Ph.D. Thesis, Imperial College, London, 1982.
Demirdžić, I., Gosman, A.D., Issa, R.I., Perić, M. “A calculation procedure for turbulent flow in complex geometries” Computers & Fluids.15, 3 (1987): 251–273.
Demirdzic, I., Peric, M. “Space conservation law in finite volume calculations of fluid flow” Int. J. Num. Meth. Fluids.8 (1988): 1037–1050.
Harlow, F.H., Welch, J.E. “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface” Physics of Fluids.8, 12 (1965): 2182–2189.
Hilgenstock, A. “A fast method for the elliptic generation of three-dimensional grids with full boundary control” Proc. 2. Int. Conf. on Numerical Grid Generation in Computational Fluid Dynamics. Swansea: Pineridge Pr., 1988.
Hirt, C.W., Nichols, B.D., Romero, N.C. SOLA — A numerical solution algorithm for transient fluid flows. Los Alamos Scientific Lab., Rep. LA-5852, 1975.
Kistler, S.F., Scriven, L.E. “Coating flow theory by finite element and asymptotic analysis of the Navier-Stokes system” Int. J. Num. Meth. Fluids.4 (1984): 207–229.
Madhavan, S. An Experimental and Mathematical Study of the Shapes of Bubbles Growing on Surfaces in an Isothermal Superheated Fluid. Ph.D. Thesis, Univ. of Kansas, 1970.
Raithby, G.D., Schneider, G.E., “Elliptic Systems: Finite-Difference Method II” Handbook of Numerical Heat Transfer. Eds. W.J. Minkowycz et. al., New York: Wiley, 1988, 949–999.
Perng, Ch.-Y., Street, R.L. “Three-dimensional unsteady flow simulations: Alternative strategies for a volume-averaged calculation” Int. J. Num. Meth. Fluids.9 (1989): 341–362.
Rieger, H. Numerische Berechnung von Wärmetransportvorgängen bei laminaren freien Kon-vektionsströmungen in beliebigen festen sowie zeitabhängigen ebenen Geometrien. Dissertation, TH Darmstadt, 1984.
Ryskin, G., Leal, L.G. “Numerical solution of free-boundary problems in fluid mechanics — Part 1. The finite-difference technique — Part 2. Buoyancy driven motion of a gas bubble through a quiescent liquid.” J. Fluid Mech. 148 (1984): 1–35.
Saito, H., Scriven, L.E. “Study of coating flow by the finite element method” J. Comput. Physics. 42 (1981): 53–76.
Vinokur, M. An Analysis of Finite-Difference and Finite-Volume Formulations of Conservation Laws. NASA Contractor Report 177416, 1986.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer Fachmedien Wiesbaden
About this paper
Cite this paper
Claes, D., Leiner, W. (1990). Computation of Viscous Free-Surface Flow Around a Single Bubble. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-663-13975-1_6
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07629-0
Online ISBN: 978-3-663-13975-1
eBook Packages: Springer Book Archive