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_ This article touches on the unsteady rectilinear motion of a submarine in a liquid under an ice cover. Ice cover is modeled by a viscoelastic ice plate. The viscoelastic properties of ice are described using the Kelvin–Voigt model. A free-surface fluid flow past a system of sources and sinks is used to simulate the motion of three submarine hull forms. The authors analyzed the effects of ice plate thickness, submergence depth, water depth, hull form, the length-to-diameter ratio of a submarine, and the speed of uniform motion (Froude number) on the trimming moment of a submarine. Trim angle and vertical displacement of a steady moving submarine model is measured experimentally in a towing tank.
Introduction The near-surface operation of a submarine is inherently an asymmetric problem, whereas operation in a deep-water condition is assumed to be symmetric (Dawson, 2014). This is due to the interaction between a submerged body and a flexible freesurface boundary, which gives rise to a wave resistance, vertical lift force, and trimming moment (Griffin, 2002). The wave resistance, lift force, and trimming moment occur through the interaction effect that exists when the hydrodynamic pressure field of a body generates free-surface waves, which, in turn, generate a nonuniform hydrostatic pressure distribution surrounding a body (Dawson, 2014).
Note that hydrodynamic loads acting on a body, steady moving near a free surface, have been studied quite fully. Havelock (1917, 1931a, 1931b), Kinoshita and Inui (1953), Wigley (1953), and Farell (1973) were the fathers of these studies in the framework of the theory of potential motion of an ideal incompressible fluid. Doctors and Beck (1987), Weinblum et al. (1950), Gertler (1950), Farrell and Güven (1973), Gourlay and Dawson (2015), and Crook (1994) continued studying these problems, both theoretically and experimentally.
Note that under modern conditions, during the development of the Arctic, submarines were forced to move under an ice cover. The problem of the influence of an ice cover on hydrodynamic loads acting on submarines is of interest. Pogorelova et al. (2020) and Zemlyak et al. (2022) investigated the wave resistance and lifting force acting on a slender body and a spheroid advancing under an elastic plate. However, the moments acting on submerged bodies under an ice cover have not been well studied.