Formulacão unificada para modelos cineticos derivados da equação de Boltzmann com condições de contorno generalizadas

• Ano de defesa: 2012
• Autor(a) principal: Rosa, Cinara Ewerling da
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Santa Maria; BR; Matemática; UFSM; Programa de Pós-Graduação em Matemática
• Palavras-chave em Português: Dinâmica de gases rarefeitos; Núcleo de Cercignani-Lampis; Modelos cinéticos; Método de ordenadas discretas; The dynamics of rarfied gases; Cercignani-Lamp kernel; Kinetic models; Method of discrete ordinates; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufsm.br/handle/1/9974

In this paper, we present numerical results obtained from the FORTRAN language for physical quantities of interest such as velocity profile, pro�le, heat ow rate, particle ow rate,heat ux and pressure tensor component. The gas ow occur in the direction parallel to thesurface the gas is confined because of a constant gradient of pressure and a constant gradient of temperature are represented by Poiseuille Problem and Problem Creep Thermal, respectively. It also considers the Couette Problem where the gas moves from the motion of the plates in opposite directions. In order to describe the gas-surface interaction we use the kernel of Cercignani-Lamp, which as opposed to core scattering Maxwell has two accommodation coeficients to represent the physical properties of gas, leaving this interaction closer to reality. From the simplification of the Boltzmann equation has the kinetic theory for rarefied gas dynamics, which is developed analytically in a uni�ed approach to the BGK Model, S Model, Gross-Jackson (GJ) Model and MRS Model. Thus, we seek to model that most closely approximates the veracity, comparing the numerical values generated by the models and the linearized Boltzmann equation through numerical analysis, graphics and mathematical statistics with the procedure of the variance of two factors made by Friedman. A version of the analytical method of discrete ordinates (ADO) is used to solve the problems of Poiseuille, Creep Thermal and Couette for two plates infinte paralalelas with different chemical constitutions Boundary Conditions for the Cercignani-Lampis.