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The effect of confining boundaries on viscous gravity currents

Published online by Cambridge University Press:  19 April 2007

DAISUKE TAKAGI  and
HERBERT E. HUPPERT
DAISUKE TAKAGI
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK
HERBERT E. HUPPERT
Affiliation:
Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK
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Abstract

Newtonian viscous gravity currents propagating along horizontal and inclined channels with semicircular and V-shaped boundaries are examined. Similarity solutions are obtained from the governing mathematical equations and compared with closely matching data from laboratory experiments in which the propagation of glycerine along different channels was recorded. Geological applications of the results are discussed briefly.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 577 , 25 April 2007 , pp. 495 - 505
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Acheson, D. J. 1990 Elementary Fluid Dynamics. Oxford University Press.CrossRefGoogle Scholar
Acton, J. M., Huppert, H. E. & Worster, M. G. 2001 Two-dimensional viscous gravity currents flowing over a deep porous medium. J. Fluid Mech. 440, 359–380.CrossRefGoogle Scholar
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.Google Scholar
Huppert, H. E. 1982 a The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. J. Fluid Mech. 121, 43–58.CrossRefGoogle Scholar
Huppert, H. E. 1982 b The flow and instability of viscous gravity currents down a slope. Nature 300, 427–429.CrossRefGoogle Scholar
Huppert, H. E. 2006 Gravity currents : a personal review. J. Fluid Mech. 554, 299–322.CrossRefGoogle Scholar
Kerr, R. C. & Lyman, A. W. 2007 The importance of surface crust strength during the flow of the 1988–1990 andesite lava of Lonquimay Volcano, Chile. J. Geophys. Res. 112 (in press).CrossRefGoogle Scholar
Lister, J. R. 1992 Viscous flows down an inclined plane from point and line sources. J. Fluid Mech. 242, 631–653.CrossRefGoogle Scholar
Mei, C. C. & Yuhi, M. 2001 Slow flow of a Bingham fluid in a shallow channel of finite width. J. Fluid Mech. 431, 135–159.CrossRefGoogle Scholar
Naranjo, J. A., Sparks, R. S. J., Stasiuk, M. V., Moreno, H. & Ablay, G. J. 1992 Morphological, structural and textural variations in the 1988–1990 andesite lava of Lonquimay Volcano, Chile. Geol. Mag. 129, 657–678.CrossRefGoogle Scholar
Simpson, J. E. 1997 Gravity currents: In the Environment and the Laboratory. Cambridge University Press.Google Scholar
Wadge, G., Young, P. A. V. & McKendrick, I. K. 1994 Mapping lava flow hazards using computer simulations. J. Geophys. Res. 99, 489–504.CrossRefGoogle Scholar