Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. III: Thermostatics and its consequences

DOI10.1515/jnet.1988.13.4.301zbMath0728.73007OpenAlexW2059896774MaRDI QIDQ805338

Thorsten Alts, Kolumban Hutter

Publication date: 1988

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1988.13.4.301

zbMATH Keywords

freezingmeltingchange of curvaturechange of temperatureClausius- Clapeyron equationsequilibrium phase change surfacesirreversible phase change surfaceslinearized transport equationsresidual entropy production inequalitythermostatic equilibrium

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Phase transitions (general) in equilibrium statistical mechanics (82B26) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items (4)

Phase change interactions and singular fronts ⋮ Exegesis of Sect. III.B from “Fundamentals of the Mechanics of Continua” by E. Hellinger ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics ⋮ Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. IV: On thermostatic stability and well- posedness

Cites Work

• The principle of determinism and thermodynamics of simple fluids with thermo-kinematic constraints
• Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. I. Surface balance laws and their interpretation in terms of three-dimensional balance laws averaged over the phase change boundary layer. II. Thermodynamics

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