Hydroelastic waves propagating in ice-covered channel

Prof. Dr. Tatyana Khabakhpasheva, School of Mathematics, University of East Anglia, Norwich/United Kingdom

Date: May 24, 2024, Friday

Time: 14:00 am

Place: B255, Faculty of Science, Dokuz Eylül University

Abstract: Characteristics of linear hydroelastic waves propagating in an ice channel are investigated. The channel is of rectangular cross section with finite depth and of infinite extent. Liquid in the channel is inviscid and incompressible. The liquid flow caused by the ice deflection is potential. The ice is modeled by a thin elastic plate. The coupled hydroelastic problem is reduced to the problem of the wave profiles across the channel. The wave profiles are sought as series of normal dry modes of the plate, coefficients of which are to be determined. Dispersion relations of these hydroelastic waves, their critical speeds, and corresponding strain and stress distributions in the plate are determined. Several special cases in which boundary conditions, ice thickness distributions across the channel width, and ice plate compression were changed were investigated and compared with each other.