Seiches in a conical lake of large semi-vertical angle
DOI:
https://doi.org/10.54302/mausam.v12i3.4218Abstract
The problem of seiche-oscillations in lakes having the shape of solids of revolution has been considered by Lamb for the particular case of a paraboloidal lake.
This paper deals with a right conical lake of large semi-vertical angle, with and without a circular cylindrical coaxial island. The differential equation of seiche-oscillations, expressed in the vector form is solved by a variational method, first used by Hidaka for seiche-problems. Period equations have been obtained for those modes of vibration, involving nodal diameters and nodal circles. The results obtained for a laks with a central island are applied to Lake Toya, Japan.
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