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Dynamics of cooling domes of viscoplastic fluid

Published online by Cambridge University Press:  03 November 2000

N. J. BALMFORTH  and
R. V. CRASTER
N. J. BALMFORTH
Affiliation:
Department of Applied Mathematics and Statistics, School of Engineering, University of California at Santa Cruz, CA 95064, USA
R. V. CRASTER
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, London, SW7 2BZ, UK
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Abstract

A non-isothermal viscoplastic thin-layer theory is developed to explore the effects of surface cooling, yield stress, and shear thinning on the evolution of non-isothermal domes of lava and laboratory fluids. The fluid is modelled using the Herschel–Bulkley constitutive relations, but modified to have temperature-dependent viscosity and yield stress. The thin-layer equations are solved numerically to furnish models of expanding, axisymmetrical domes. Linear stability theory reveals the possibility of non-axisymmetrical, fingering-like instability in these domes. Finally, the relevance to lava and experiments is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 422 , 10 November 2000 , pp. 225 - 248
Copyright
© 2000 Cambridge University Press

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