Vertical Temperature Distribution in Lakes

Richard D. Noble
Nancy J. Kemp
Robert G. Buschman



Analytical solutions are presented for the vertical temperature distribution in lakes. The solutions are good for large water bodies where inflows and outflows are negligible. The solution is based on a linearization of the surface heat exchange term. Solutions are presented for both zero-order and first order linearizations. An analytical expression is used to describe the actual daily absorbed radiation at the air-water interface. The model contains no adjustable parameters. A comparison of model results with experimental data is presented.

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