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Approximate solution to the freezing of the ice‐water system with constant heat flux in the water phase
Author(s) -
Foss Stephen D.,
Fan Stephen S. T.
Publication year - 1974
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr010i003p00511
Subject(s) - constant (computer programming) , flux (metallurgy) , thermodynamics , heat flux , mechanics , stefan problem , phase (matter) , steady state (chemistry) , environmental science , materials science , meteorology , heat transfer , chemistry , mathematics , physics , mathematical analysis , boundary (topology) , organic chemistry , computer science , metallurgy , programming language
By utilizing the assumption of a quasi steady state temperature profile for the solution to the Stefan problem an approximate solution to the ice‐water problem in which a constant heat flux exists in the water phase is developed. Two hypothetical cases are studied. Case 1 considers a step change in the ambient air temperature. Case 2 considers the effect of sinusoidal ambient air temperature fluctuations. A method is developed for determining the characteristic heat flux in the water phase.