Circulation in Shallow Homogenous Lakes

by James A. Liggett,

Serial Information: Journal of the Hydraulics Division, 1969, Vol. 95, Issue 2, Pg. 609-620

Document Type: Journal Paper


The steady state, wind driven circulation of a shallow, homogeneous lake on a rotating earth is studied by means of a solution of the equations of fluid motion. The equations are linearized, dissipation is assumed to result only from bottom friction and a constant eddy viscosity is employed. These approximations assume a shallow lake where a characteristic horizontal dimension is large compared to the maximum depth and the depth is of the order of magnitude of the Ekman depth of frictional influence. The solution gives the three dimensional circulation patterns for a lake of arbitrary plan form and bottom topography. The effect of bottom topography is shown in sample calculations.

Subject Headings: Equations of motion | Water circulation | Shallow water | Homogeneity | Lakes | Friction | Topography | Steady states

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