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Dynamic simulation of the motion of capsules in pipelines

Published online by Cambridge University Press:  26 April 2006

J. Feng ,
P. Y. Huang  and
D. D. Joseph
J. Feng
Affiliation:
Department of Aerospace Engineering and Mechanics and the Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55455, USA
P. Y. Huang
Affiliation:
Department of Aerospace Engineering and Mechanics and the Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55455, USA
D. D. Joseph
Affiliation:
Department of Aerospace Engineering and Mechanics and the Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55455, USA
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Abstract

In this paper we report results of two-dimensional simulations of the motion of elliptic capsules carried by a Poiseuille flow in a channel. The numerical method allows computation of the capsule motion and the fluid flow around the capsule, and accurate evaluation of the lift force and torque. Results show that the motion of a capsule which is heavier than the carrying fluid may be decomposed into three stages: initial lift-off, transient oscillations and steady flying. The behaviour of the capsule during initial lift-off and steady flying is analysed by studying the pressure and shear stress distributions on the capsule. The dominant mechanism for the lift force and torque is lubrication or inertia or a combination of the two under different conditions. The lift-off velocity for the ellipse in two dimensions is compared with experimental values for cylindrical capsules in pipes. Finally, the mechanisms of lift for capsules are applied to flying core flows, and it is argued that inertial forces are responsible for levitating heavy crude oil cores lubricated by water in a horizontal pipeline.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 286 , 10 March 1995 , pp. 201 - 227
Copyright
© 1995 Cambridge University Press

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References

Bai, R., Chen, K. & Joseph, D. D. 1992 Lubricated pipelining: stability of core–annular flow. Part V. Experiments and comparison with theory. J. Fluid Mech. 240, 97–132.Google Scholar
Batchelor, G. K. 1988 An Introduction to Fluid Dynamics. Cambridge University Press.
Brown, R. A. S. 1997 Capsule pipeline research at the Alberta Research Council, 1958–1978. J. Pipelines 6, 75–82.Google Scholar
Crochet, M. J., Debaut, B., Keunings, R. & Marchal, J. M. 1991 A finite element program for modeling processes. In CAE for Polymer Processing: Application in Extrusion and Other Continuous Processes (ed. K. T. O'Brien). Munchen: Hanser Verlag.
Durlofsky, L., Brady, J. F. & Bossis, G. 1987 Dynamic simulation of hydrodynamically interacting particles. J. Fluid Mech. 180, 21–49.Google Scholar
Ellis, H. S. 1964 The pipeline flow of capsules. Part 4: An experimental investigation of the transport in water of single cylindrical ‘capsules’ with density greater than that of water. Can. J. Chem. Engng 42, 69–76.CrossRefGoogle Scholar
Ellis, H. S. 1976 An analysis of the lift-off of pipeline capsules. Hydrotransport 4, C1–1.Google Scholar
Ellis, H. S. & Kruyer, J. 1970 The pipeline flow of capsules. Part 10. Empirical pressure and velocity correlations for cylindrical capsules conveyed in pipelines up to 4 inches in diameter. Hydrotransport 1, C2–29.Google Scholar
Feng, J., Hu, H. H. & Joseph, D. D. 1994a Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 1. Sedimentation. J. Fluid Mech. 261, 95–134.Google Scholar
Feng, J., Hu, H. H. & Joseph, D. D. 1994b Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows. J. Fluid Mech. 277, 271–301.Google Scholar
Ganatos, P., Pfeffer, R. & Weinbaum, S. 1978 A numerical-solution technique for three-dimensional Stokes flows, with application to the motion of strongly interacting spheres in a plane. J. Fluid Mech. 84, 79–111.CrossRefGoogle Scholar
Garg, V. K. 1977 Capsule pipelining – an improved theoretical analysis. Trans. ASME I: J. Fluids Engng 99, 763–771.Google Scholar
Govier, G. W. & Aziz, K. 1972 The Flow of Complex Mixtures in Pipes, chap. 12. Van Nostrand-Reinhold.
Hesla, T. I., Huang, A. Y. & Joseph, D. D. 1993 A note on the net force and moment on a drop due to surface forces. J. Colloid Interface Sci. 158, 255–257.Google Scholar
Hodgson, G. W. & Charles, M. E. 1963 The pipeline flow of capsules. Part 1: The concept of capsule pipelining. Can. J. Chem. Engng 41, 43–45.Google Scholar
Hu, H. H., Joseph, D. D. & Crochet, M. J. 1992 Direct simulation of fluid particle motions. Theor. Comput. Fluid Dyn. 3, 285–306.Google Scholar
Huang, P. Y., Feng, J. & Joseph, D. D. 1994 The turning couples on an elliptic particle settling in a vertical channel. J. Fluid Mech. 271, 1–16.Google Scholar
Huang, A. Y. & Joseph, D. D. 1995 Stability of eccentric core-annular flow. J. Fluid Mech. 282, 233–245.Google Scholar
Joseph, D. D. & Renardy, Y. Y. 1993 Fundamentals of Two-Fluid Dynamics. Part II: Lubricated Transport, Drops and Miscible Liquids. Springer.
Kruyer, J., Redberger, P. J. & Ellis, H. S. 1967 The pipeline flow of capsules. Part 9. J. Fluid Mech. 30, 513–531.Google Scholar
Lazarus, J. H. & Kilner, F. A. 1970 Incipient motion of solid capsules in pipelines. Hydrotransport 1, C3–45.Google Scholar
Liddle, R. T. 1968 A photographic study of capsule behavior in a pipeline. Masters thesis, University of Alberta, Faculty of Graduate Studies.
Liu, H. 1981 Hydraulic capsule pipeline. J. Pipelines 1, 11–23.Google Scholar
Liu, H. 1982 A theory of capsule lift-off in pipeline. J. Pipelines 2, 23–33.Google Scholar
Liu, H. 1992 Design and operational considerations of hydraulic capsule pipelines. Invited lecture at the Workshop on Capsule Pipelines, Tokyo, Japan. June 22–23, 1992.
Liu, H. & Graze, H. R. 1983 Lift and drag on stationary capsule in pipeline. ASCE J. Hydraulic Engng 109, 28–47.Google Scholar
Oliemans, R. V. A. & Ooms, G. 1986 Core-annular flow of oil and water through a pipeline. In Multiphase Science and Technology, vol. 2 (ed. G. F. Hewitt, J. M. Delhaye & N. Zuber). Hemisphere.
Oliemans, R. V. A., Ooms, G., Wu, H. L. & Duyvestin, A. 1985 Core-annular oil/water flow: the turbulent-lubricating model and measurements in a 2 in pipe loop. Presented at the Middle East Oil Technical Conf. and Exhibition, Bahrain, March 11–14, 1985. Society of Petroleum Engineers.
Ooms, G., Segal, A., Van der Wees, A. J., Meerhoff, R. & Oliemans, R. V. A. 1984 A theoretical model for core-annular flow of a very viscous oil core and a water annulus through a horizontal pipe. Intl J. Multiphase Flow 10, 41–60.Google Scholar
Richards, J. 1992 Behavior of coal log trains in hydraulic transport through pipe. MS thesis, Department of Civil Engineering, University of Missouri-Columbia.
Sugihara-seki, M. 1993 The motion of an elliptical cylinder in channel flow at low Reynolds numbers. J. Fluid Mech. 257, 575–596.Google Scholar