One-dimensional ablation using Landau transformation and finite control volume procedure

Abstract

A technique utilizing the Landau transformation has been developed to solve one-dimensional variable area ablation problems. It is based on applying the integral form of the conservation equations to control volumes that are moving with velocities consistent with the Landau transformation. Exponential temperature profiles are assumed to evaluate the conduction and convection fluxes at control volume faces. The technique has been applied to one-dimension al planar and cylindrical geometries with sample calculations presented to verify the accuracy of the method.