Wave Resistance of Submerged Body Depending on Its Length, Water Depth, and Ice Cover Parameters

The rectilinear motion of a slender body in a fluid beneath an ice cover is considered in this study. The ice cover is modeled as a thin viscoelastic plate. The fluid is assumed to be ideal and incompressible, and its motion is irrotational. The problem is solved within the framework of potential flow theory. The flow around the body is modeled using source–sink theory, and the calculated wave resistance values are validated through comparison with known numerical solutions obtained for viscous fluid theory. The wave resistance of an underwater body moving at a distance of two diameters from the ice–water interface is analyzed. The maximum values of wave resistance and the corresponding critical speeds of the body are investigated as functions of the water depth, length of the body, and parameters of the ice cover. It is found that as the water depth decreases, the maximum values of wave resistance increase. For shallow water, the critical speeds of the underwater body are proportional to the square root of the water depth. As the water depth increases, the critical speeds approach a relationship—dependent on the body length and ice cover parameters—that corresponds to the motion of a body beneath an ice cover in an infinitely deep fluid.