A mixture theory for a phase-changing snowpack

Morland, L.W.; Kelly, R.J.; Morris, E.M.. 1990 A mixture theory for a phase-changing snowpack. Cold Regions Science and Technology, 17 (3). 271-285. https://doi.org/10.1016/S0165-232X(05)80006-0

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Official URL: http://dx.doi.org/10.1016/S0165-232X(05)80006-0

Abstract/Summary

The continuum theory of mixtures is used as the mathematical framework for a four-constituent model of a natural snowpack. The general conservation equations in point form are derived from appropriate integral balances and constitutive requirements are identified. In particular, constitutive postulates are made for the interaction terms due to phase change in the momentum and energy equations. The conservation equations are written in terms of partial variables whereas material constitutive laws are given in terms of intrinsic variables. Generalising Morland's theory* enables these two types of variable to be related when mass transfer due to phase change is included. A reduced model is proposed which assumes linear hypo-thermoelastic response for the ice and linearly viscous fluid response for the water, water-vapour and air.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1016/S0165-232X(05)80006-0
ISSN:	0165232X
NORA Subject Terms:	Mathematics
Date made live:	11 Jul 2018 08:22 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/520513

Item Type:

Publication - Article

Digital Object Identifier (DOI):

https://doi.org/10.1016/S0165-232X(05)80006-0

ISSN:

0165232X

NORA Subject Terms:

Mathematics

Date made live:

11 Jul 2018 08:22 +0 (UTC)

URI:

https://nora.nerc.ac.uk/id/eprint/520513