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The response of lake levels to an unsteady wind stress

Published online by Cambridge University Press:  17 April 2009

B.J. Noye
B.J. Noye
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia.
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Abstract

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This paper presents a theoretical investigation into the forced oscillations produced in an elongated lake by wind stresses varying in time. Analysis of the appropriate hydrodynamical equations of motion, in the absence of friction, and the equation of continuity give an estimate of the response function of the longitudinal component of the wind stress onto water level. Two mathematical models are used, one giving an analytical solution and the other requiring numerical methods for solution. The first model assumes that the lake is a homogeneous rectangular body of water and the second uses the mean depth h(x) and area of cross section A(x), considered as functions of distance x directed along the longitudinal axis of the lake.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 3 , June 1973 , pp. 423 - 433
Copyright
Copyright © Australian Mathematical Society 1973

References

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