The Effect of a Deceleration Force on a Melting Boundary Layer

Most analytical studies of ablating layers which melt before they vaporize have been restricted to the stagnation region of bodies (e.g., see Sutton). To determine conditions all along the body, it is important to include the deceleration force that opposes the downstream flow of liquid. Some treatment has already been given to this problem, but it is rather limited because of the idealization of the considered configuration or the omission of some important features of the problem. This note gives a more general discussion of the phenomena that occur when a body force acts on a melting boundary layer. The basis for these remarks is an analysis of the flow of a material like Pyrex over a two-dimensional body. The liquid density, specific heat, and conductivity are assumed constant. To determine the conditions under which deceleration effects are important and to simplify the basic equations, all variables except velocity and time are made dimensionless in the usual way.