By using statistical analysis of temperature observations and model calculations, the common parameterization of vertical eddy diffusivity ( k ) in terms of the gradient Richardson number ( Ri ) is simplified. The simpler formulation accurately reproduces seasonal variations in temperature profiles from Lakes Ontario and Washington. Energy arguments support use of the simplified parameterization and suggest use of a modified Ri in calculating k . The new expression for k resulted in more realistic estimates of thermocline k . The modeling of free convective mixing in Lake Ontario by heat conservation resulted in excessive temperatures in the hypolimnion during fall overturn.
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McCormick et al. (1981) studied this question.
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