Combined effect of ice cover and length-to-diameter ratio on the wave resistance of a slender body

In this study we considered the rectilinear motion of a slender body in fluid under an ice cover. The liquid is inviscid and incompressible. The ice cover was modeled as a floating viscoelastic plate, and the slender body was modeled as a source–sink system in a fluid flow. The strength of the sources and sinks and the distances between them depend on the body form. The shape of the bow is elliptical, the middle shape is cylindrical, and the stern has a parabolic shape. We considered bodies with varying length-to-diameter ratios (L/D = 6, 8, 10, 12, 14, and 16) by adjusting the length of the parallel mid-body. The influence of the L/D, ice cover thickness, submergence depth, and speed of the submerged body on the wave resistance was analyzed. Results show that for a thin ice cover, the critical Froude number depends on the L/D. For a thick ice cover, the critical Froude number depends on the ice plate thickness. For all considered cases of the L/D and ice cover thickness, the fully submergence and Milestone depths were obtained.