| Abstract: | The change of form of a body due to disintegration (ablation) during aerodynamic or other types of heating is described by an equation (we shall call it the ablation equation); the type of this equation is largely determined by the law of external heating. Such problems in different particular formulations have been investigated in [1–4] and others. Within the realm of simplest assumptions (methods of local similarity for the distribution of convective heat fluxes, absence of preheating) this equation is a first-order integrodifferential equation with significantly nonlinear properties. Below, its characteristic properties are described for two-dimensional problems and a solution is obtained in the neighborhood of the corner points of an initial nonsmooth profile, for which a particular example may be (as will be shown below) a body of stationary form that remains unchanged during the ablation process. It is shown that this solution may belong to one of three types: of these, one, which is discontinuous, retains the corner point, the second smears it, and the third is of mixed character.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 95–102, May–June, 1977. |
