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Plane and Radial Ice-Shelf Flow with Prescribed Temperature Profile

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Dynamics of the West Antarctic Ice Sheet

Part of the book series: Glaciology and Quaternary Geology ((GQGE,volume 4))

Abstract

The longitudinal velocity and thickness of an ice shelf in steady plane flow, when temperature is prescribed as a function of the spatial coordinates, are determined by simultaneous integro-differential equations. These are solved numerically to illustrate the effects of temperature distribution, depth and ice flux at the grounding line, and surface accumulation.

The corresponding integro-differential equations for axi-symmetric flow are derived, which involves a strain rate transverse to the radial direction and hence non-planar spreading. Numerical solutions for a grounding line at a mean Antarctic radius and a range of ice-flux values are presented. Comparisons with corresponding plane-flow solutions indicate that radial spreading has little influence.

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© 1987 D. Reidel Publishing Company

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Morland, L.W., Zainuddin, R. (1987). Plane and Radial Ice-Shelf Flow with Prescribed Temperature Profile. In: Van der Veen, C.J., Oerlemans, J. (eds) Dynamics of the West Antarctic Ice Sheet. Glaciology and Quaternary Geology, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3745-1_7

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  • DOI: https://doi.org/10.1007/978-94-009-3745-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8171-9

  • Online ISBN: 978-94-009-3745-1

  • eBook Packages: Springer Book Archive

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