Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-20T17:08:53.448Z Has data issue: false hasContentIssue false

The shape distribution of splash-form tektites predicted by numerical simulations of rotating fluid drops

Published online by Cambridge University Press:  14 January 2011

S. L. BUTLER*
Affiliation:
Department of Geological Sciences, University of Saskatchewan, Saskatoon Saskatchewan, S7N 5E2, Canada
M. R. STAUFFER
Affiliation:
Department of Geological Sciences, University of Saskatchewan, Saskatoon Saskatchewan, S7N 5E2, Canada
G. SINHA
Affiliation:
Department of Geological Sciences, University of Saskatchewan, Saskatoon Saskatchewan, S7N 5E2, Canada
A. LILLY
Affiliation:
Department of Computer Science, University of Saskatchewan, Saskatoon Saskatchewan, S7N 5E2, Canada
R. J. SPITERI
Affiliation:
Department of Computer Science, University of Saskatchewan, Saskatoon Saskatchewan, S7N 5E2, Canada
*
Email address for correspondence: [email protected]

Abstract

Splash-form tektites are glassy rocks ranging in size from roughly 1 to 100 mm that are believed to have formed from the splash of silicate liquid after a large terrestrial impact from which they are strewn over thousands of kilometres. They are found in an array of shapes including spheres, oblate ellipsoids, dumbbells, rods and possibly fragments of tori. It has recently become appreciated that surface tension and centrifugal forces associated with the rotation of fluid droplets are the main factors determining the shapes of these tektites. In this contribution, we compare the shape distribution of 1163 measured splash-form tektites with the results of the time evolution of a 3D numerical model of a rotating fluid drop with surface tension. We demonstrate that many aspects of the measured shape distribution can be explained by the results of the dynamical model.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Barnes, V. E. & Barnes, M. A. 1973 Tektites. Dowden, Hutchinson and Ross Inc.Google Scholar
Bohr, N. & Wheeler, J. A. 1939 The mechanism of fission. Phys. Rev. 56, 426450.CrossRefGoogle Scholar
Brown, R. A. & Scriven, L. E. 1980 The shape and stability of rotating liquid drops. Proc. R. Soc. Lond. A 371, 331357.Google Scholar
Cardoso, V. & Gualtieri, G. L. 2006 Equilibrium configurations of fluids and their stability in higher dimensions. Class. Quant. Grav. 23, 71517198.CrossRefGoogle Scholar
Chandrasekhar, S. 1965 The stability of a rotating liquid drop. Proc. R. Soc. Lond. A 286, 126.Google Scholar
Dressler, B. O. & Reimold, W. U. 2001 Terrestrial impact melt rocks and glasses. Earth-Sci. Rev. 56, 205284.CrossRefGoogle Scholar
Elkins-Tanton, L. T., Aussillous, P., Bico, J., Quéré, D. & Bush, J. W. M. 2003 A laboratory model of splash-form tektites. Meteorit. Planet. Sci. 38, 13311340.CrossRefGoogle Scholar
Eriksson, R., Hayashi, M. & Seetharaman, S. 2003 Thermal diffusivity measurements of silicate melts. Intl J. Thermophys. 24, 785797.CrossRefGoogle Scholar
Flinn, D. 1962 On folding during three-dimensional progressive deformation. Q. J. Geol. Soc. 118, 385.CrossRefGoogle Scholar
Heine, C. 2006 Computations of form and stability of rotating drops with finite elements. J. Numer. Anal. 26, 723751.CrossRefGoogle Scholar
Heine, C. 2003 Computations of form and stability of rotating drops with finite elements. PhD dissertation, Rheinisch-Westfalischen Technischen Hochschule Aachen, p. 101.Google Scholar
Hill, R. J. A. & Eaves, L. 2008 Nonaxisymmetric shapes of a magnetically levitated and spinning water droplet. Phys. Rev. Lett. 101, 234501.CrossRefGoogle ScholarPubMed
Klein, L. C., Yinnon, H. & Uhlmann, D. R. 1980 Viscous flow and crystallization behaviours of tektite glasses. J. Geophys. Res. 85, 54855489.CrossRefGoogle Scholar
Koeberl, C. 1994 Tektite origin by hypervelocity asteroidal or cometary impact: target rocks, source craters and mechanisms. Geol. Soc. Am. Special Paper 293, 133151.CrossRefGoogle Scholar
McCall, J. 2001 Tektites in the Geological Record: Showers of Glass from the Sky. The Geological Society.Google Scholar
Nininger, H. H. & Huss, G. I. 1967 Tektites that were partially plastic after completion of surface sculpting. Science 157, 6162.CrossRefGoogle Scholar
O'Keefe, J. A. 1976 Tektites and Their Origin. Elsevier.Google Scholar
Plateau, J. A. F. 1863 Experimental and theoretical researches on the figures of equilibrium of a liquid mass withdrawn from the action of gravity. Annual Report of the Board of Regents of the Smithsonian Institution, pp. 270285. Washington, DC.Google Scholar
Rayleigh, Lord 1914 The equilibrium of revolving liquid under capillary force. Phil. Mag. 28, 161170.CrossRefGoogle Scholar
Reinhart, J. S. 1958 Impact effects and tektites. Geochim. Cosmochim. Acta 14, 287290.Google Scholar
Stauffer, M. R. & Butler, S. L. 2010 The shapes of splash-form tektites: their geometrical analysis, classification and mechanics of formation. Earth Moon Planet. doi:10.1007/s11038-010-9359-y.CrossRefGoogle Scholar
Walkley, M. A., Gaskell, P. H., Jimack, P. K., Kelmanson, M. A. & Summers, J. L. 2005 Finite element simulation of three-dimensional free-surface flow problems. J. Sci. Comput. 24, 147162.CrossRefGoogle Scholar
Wang, T. G., Anilkumar, A. V., Lee, C. P. & Lin, K. C. 1994 Bifurcation of rotating liquid drops: results from USML-1 experiments in space. J. Fluid Mech. 276, 389403.CrossRefGoogle Scholar
Wang, T. G., Trinh, E. H., Croonquist, A. P. & Elleman, D. D. 1986 Shapes of rotating free drops: spacelab experimental results. Phys. Rev. Lett. 56, 452455.CrossRefGoogle ScholarPubMed