NDLI: Under-ice seiches

Content Provider	Springer Nature Link
Author	Zyryav, V. N.
Copyright Year	2011
Abstract	A closed, ice-covered water body containing water with homogeneous density distribution is considered. No-slip conditions are specified for flow velocity at the lower ice boundary and on the bed. Two variants of boundary conditions are considered on the side boundary: the boundary is either a solid vertical wall with a finite liquid depth or the liquid wedges out to zero depth values. Ice either is attached fast to the shore or is separated from it by an open-water zone. A basic fourth order equation is derived for the amplitude of ice oscillations. The introduction of friction results in the appearance of reduced depth. Eigenvalue problem is considered for evaluating seiche periods. For the case when the liquid wedges out at the shore, the basic equation becomes singular at water body boundaries. A lake with a longitudinal depth profile, which can be approximated by a parabola, is considered. The solution is found by the method of matched asymptotic expansions. In the inner domain, beyond the boundary layers, the equation is reduced to Legendre equation, which yields a new relationship for the spectrum of seiche oscillations both in the presence of ice and in an open lake with varying depth. Boundary layers appear at the margins of the lake, where the liquid wedges out; a solution is found for these layers.
Starting Page	261
Ending Page	273
Page Count	13
File Format	PDF
ISSN	00978078
Journal	Water Resources
Volume Number	38
Issue Number	3
e-ISSN	1608344X
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2011-05-22
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	ice lake long waves seiches reduced depth Merian formula Legendre equation Hydrogeology Waste Water Technology Water Pollution Control Water Management Aquatic Pollution
Content Type	Text
Resource Type	Article
Subject	Water Science and Technology

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