The radiative conductive transfer equation in cylinder geometry : rocket launch exhaust phenomena for the Alcântara Launch Center

Abstract

In this work we present a solution for the radiative conductive transfer equation in cylinder geometry for a solid cylinder. We discuss a semi-analytical approach to the non-linear N S problem, where the solution is constructed by Laplace transform and a decomposition method. The obtained solution allows then to construct the relevant near field to characterize the source term for dispersion problems when adjusting the model parameters such as albedo, emissivity, radiation conduction and others in comparison to the observation, that are relevant for far field dispersion processes and may be handled independently from the present problem. In addition to the solution method we also report some solutions and numerical simulations.