ONE-DIMENSIONAL ABLATION USING LANDAU TRANSFORMATION AND FINITE CONTROL-VOLUME PROCEDURE

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 vo lumes that are moving with velocities consistent with the Landau trans formation. Exponential temperature profiles are assumed to evaluate th e conduction and convection fluxes at control volume faces. The techni que has been applied to one-dimensional planar and cylindrical geometr ies with sample calculations presented to verify the accuracy of the m ethod.