Unsteady Circulation in Shallow, Homogeneous Lakes

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Abstract
A method is presented for calculating the three-dimensional, unsteady, wind-driven circulation in a shallow, homogeneous lake on a rotating earth. The equations of motion are linearized, boundary friction is assumed to act only on the bottom; and a constant eddy viscosity is assumed. These approximations assume a shallow lake where a characteristic horizontal dimension is large compared to the maximum depth and where the depth is of the order of magnitude of the Ekman depth of frictional influence or less. The solution can be applied to a lake of arbitrary plan form and bottom topography.

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