High-velocity penetration of a melting solid by a slender body (Q1317787)

The high-velocity penetration of a melting solid by a thermally insulated slender body is considered. Under certain constraints on the dimensionless melting parameters, the flow in the molten layer can be described within the framework of lubrication theory. The local angles of inclination of the body and of the surface of the molten layer with respect to the velocity are assumed to be small, and are taken into account in the linear approximation. The heat flow into the solid is found by simulating the body and the molten layer by means of a segment with distributed heat sources.