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Approximation of heat exchange at the air‐water interface
Author(s) -
Yotsukura Nobuhiro,
Jackman Alan P.,
Faust Charles R.
Publication year - 1973
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/wr009i001p00118
Subject(s) - linearization , heat exchanger , base (topology) , term (time) , taylor series , thermodynamics , series (stratigraphy) , environmental science , air temperature , mechanics , meteorology , mathematics , mathematical analysis , geology , physics , nonlinear system , paleontology , quantum mechanics
The basic exchange equations for air‐water interface are approximated by the Taylor series expansion around an undefined base temperature in order to calculate short‐term heat exchanges. The expression ‘short‐term’ is used here to indicate averaging over a period on the order of 1 hour. Numerical tests based on data from two shallow streams verify that the base temperature should be chosen so as to minimize deviations between the base temperature and the actual water temperature. The daily average natural temperature observed at a reference point is the most practicable base. The daily equilibrium temperature calculated from meteorologic data may be used as a base as long as it does not deviate excessively from actual water temperatures. Whereas the short‐term natural temperature is the most accurate base, the short‐term equilibrium temperature has no merit as a base temperature of linearization.