Abstract
This lecture series outlines a theoretical thermodynamic formulation of phase change processes between ice and water and follows the work of Alts & Hutter (1986, 1988a, b, c, 1989).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alts, T.: Zur Thermodynamik der Vorgänge in festen und fluiden Mischungen, Ph.D. Dissertation, Rheinisch-Westfälische Technische Hochschule Aachen, 1971.
Alts, T.: Thermodynamik elastischer Körper mit thermo-kinematischen Zwangsbedingungen-fadenverstärkte Materialien. Habilitation-Dissertation, Technische Universität Berlin, Universitätsbibliothek der TU Berlin, Abteilung Publikationen, 1979.
Alts, T.: The principle of determinism and thermodynamics of simple fluids with thermokinematic constraints, J. Non-Equil. Thermo., 10 (1984), 145–162.
Alts, T. and P. Strehlow: Frozen deformation, frozen stresses and structure-induced Na-distributions in sodium silicate glasses, J. Thermal Stresses, 7 (1984), 317–359.
Alts, T. and K. Hutter: Towards a theory of temperate glaciers: Dynamics and thermodynamics of phase boundaries between ice and water, Mitt. No. 82 der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, (D. Vischer, Hrsg. ), ETH Zürich, 1986.
Alts, T. and K. Hutter: Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water, part I: Surface balance laws and their interpretation in terms of three-dimensional balance laws averaged over the phase change boundary layer, J. Non-Equil. Thermo., 13 (1988), 221–257.
Alts, T. and K. Hutter: Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water, part II: Thermodynamics, J. Non-Equil. Thermo., 13 (1988), 259–280.
Alts, T. and K. Hutter: Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water, part III: Thermostatics and its consequences, J. Non-Equil. Thermo., 13 (1988), 301–329.
Alts, T. and K. Hutter: Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water, part IV: On thermostatic stability and well-posedness, J. Non-Equil. Thermo., 14 (1989), 1–22.
Baehr, H.D.: Thermodynamik, Springer-Verlag, Heidelberg (3. Auflage) 1979.
Becker, R.: Theorie der Wärme, Springer-Verlag, Heidelberg, 1961.
Bowden, F.P. and Tabor, D.: The Friction and Lubrication of Solids, Clarendon Press, Oxford, 1954.
Buff, F.P.: Curved fluid interfaces, I: The generalized Gibbs-Kelvin equation, J. Chem. Phys., 25 (1956), 146–153.
Buff, F.P. and Saltsburg, H.: Curved fluid interfaces, II: The Generalized Neumann Formula, J. Chem. Phys., 26 (1956), 23–31.
Buff, F.P. and Saltsburg, H.: Curved fluid interfaces, III: The dependence of the free energy on parameters of external force, J. Chem. Phys., 26 (1956), 1526–1533.
Carathéodory, C., Math. Annalen, 67 (1909), 355, in: Gesmmelte math. Schriften, Bd. II, S. 129, C.H. Beck’sche Verlagsbuchhandlung, München, 1955.
Deemer, A.D. and Slattery, J.C.: Balance equations and structural models for phase interfaces, Int. J. Multiphase Flow, 4 (1978), 171–192.
Faraday, M.: Notes from Sept. 8, 10, 26, 1842 and Oct. 3, 1845, in: Faraday’s Diary, ed. by T. Martin, vol. I V, G. Bell and Sons, Ltd., London, 1933.
Fletcher, N.H.: Surface structure of water and ice, Philosophical Magazine, Eighth Ser., 7 (1961), 255–269.
Fletcher, N.H.: Surface structure of water and ice, II: A revised model, Philosophical Magazine, Eighth Ser., 18 (1966), 1287–1300.
Gibbs, J.W.: The collected works of J. Willard Gibbs, V. 1, p. 219, Yale University Press, New Haven, 1929.
Gibbs, J.W.: Collected Works, V. 1, pp. 55–353, Yale University Press, New Haven, 1948.
Glen, J.W.: The creep of polycrystalline ice, Proc. Roy. Soc. London, A 228 (1955), 519–538.
Golecki, I., Jaccard, D.: The surface of ice near 0 C studied by 100 keV proton channeling, Physics Letters, 63A (1977), 374–376.
Grauel, A.: Thermodynamics of an interfacial fluid membrane, Physica, 103A (1980), 468–520.
Gubler, H.: Strength of bonds between ice grains after short contact times, J. Glaciology, 28 (1982), 457–473.
Gurtin, M.E. and Murdoch, A. I.: A continuum theory of elastic material surfaces, Arch. Rat. Mech. Anal., 57 (1975), 291–323.
Hobbs, P.V.: Ice Physics, Clarendron Press, Oxford, 1974.
Hutter, K. and Trösch, J.: Über die hydromechanischen und thermodynamischen Grundlagen der Seezirkulation, Mitt. No. 20 der Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie an der ETH Zürich, 1976.
Lindsay, K.A. and Straughan, B.: A thermodynamic viscous interface theory and associated stability problems, Arch. Rat. Mech. Anal., 71 (1979), 307–326.
Liu, I-Shiu: Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rat. Mech. Anal., 46, (1972), 131–148.
Moeckel, G.P.: Thermodynamics of an interface, Arch. Rat. Mech. Anal., 57 (1974), 255–280.
Müller, I.: Thermodynamik - Grundlagen der Materialtheorie, Bertelsmann Universitätsverlag, Düsseldorf, 1972.
Nakaya, U. and Matsumoto, A.: Simple experiment showing the existence of “liquid water” film on the ice surface, J. Colloid Sci., 9 (1954), 41–49.
Nye, J.F. and Frank, F.C.: Hydrology of intergranular veins in a temperate glacier, in: Association Internationale d’Hydrologie Scientific. Symp. on the Hydrology of Glaciers, Cambridge, 1969, 157–161.
Scriven, L.E.: Dynamics of a fluid interface, Chem. Engng. Sci., 12 (1960), 98–108.
Slattery, J.C.: General balance equations for a phase interface, I and EC Fundamentals, 6 (1967), 108–115.
Steinemann, S.: Experimentelle Untersuchungen zur Plastizität von Eis, Beiträge zur Geologie der Schweiz. Hydrologie, No. 10, 1958.
Thomson, J.: Note on Professor Faraday’s recent experiments on regelation, Proc. Roy. Soc. London, All (1861), 198–204.
Tyndall, J.: On some physical properties of ice, Proc. Roy. Soc. London, 9 (1858), 76–80.
Tyndall, J.: Über einige physikalische Eigenschaften des Eises, Ann. d. Physik u. Chemie, 103 (1858), 157–162.
Weyl, W.A.: Surface structure of water and some of its physical and chemical manifestations, J. Colloid Sci., 6 (1951), 389–405.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Wien
About this chapter
Cite this chapter
Hutter, K. (1991). The Physics of Ice-Water Phase Change Surfaces. In: Kosinski, W., Murdoch, A.I. (eds) Modelling Macroscopic Phenomena at Liquid Boundaries. International Centre for Mechanical Sciences, vol 318. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2612-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2612-7_5
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82327-9
Online ISBN: 978-3-7091-2612-7
eBook Packages: Springer Book Archive