Open AccessA Discrete-Ordinates Solution for the Strong Evaporation Problem in Rarefied Gas Dynamics
Author(s) -
C. S. Scherer
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.02.00201
Subject(s) - evaporation , gas dynamics , boltzmann equation , work (physics) , nonlinear system , heat flux , dynamics (music) , physics , mechanics , boltzmann constant , classical mechanics , mathematics , mathematical analysis , thermodynamics , heat transfer , quantum mechanics , acoustics
In this work we solve the nonlinear strong evaporation problem in rarefied gas dynamics. The analysis is based on the BGK model, with three dimensional velocity vector, derived from the Boltzmann equation. We present the complete development of a closed form solution for evaluating density, velocity, temperature perturbations and the heat flux of a gas. Numerical results are presented and discussed.