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New Zealand Mathematics Colloquium 2000
November 26-29, 2000
Dept of Mathematics, University of Waikato
Hamilton, New Zealand

Organizers
Kevin Broughan, Rua Murray, Ernie Kalnins, Stephen Joe

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Sun on Sea Ice
by
Mark McGuinness
Victoria University of Wellington

Temperature measurements taken in young landfast Antarctic sea ice show daily oscillations consistent with heating by solar radiation. We present and solve a heat conduction model for the temperature with a nonlinear thermal capacity and a distributed source term for solar power absorption based on Monte Carlo scattering simulations of penetrating photons. Asymptotic methods are used that take advantage of small amplitudes of daily oscillations. We observe two characteristic modes for solar heating in sea ice, one dominated by travelling thermal waves or conduction in the upper half, and the other dominated by in-place solar heating in the lower half. We note that deep thermal responses to solar radiation are larger by a factor of ~ 10 than predicted by scattering measurements, due possibly to the presence of algae and/or dissolved organic material.

Solar heating of sea ice

Date received: September 26, 2000


Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caek-22.