FORMULACÃO UNIFICADA PARA MODELOS CINETICOS DERIVADOS DA EQUAÇÃO DE BOLTZMANN COM CONDIÇÕES DE CONTORNO GENERALIZADAS / UNIFIED FORMULATION FOR KINETIC MODELS DERIVATIVES OF BOLTZMANN EQUATION WITH GENERALIZED BOUNDARY CONDITIONS

AUTOR(ES)

Cinara Ewerling da Rosa

FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

28/02/2012

RESUMO

In this paper, we present numerical results obtained from the FORTRAN language for physical quantities of interest such as velocity prole, prole, 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 conned 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 coecients to represent the physical properties of gas, leaving this interaction closer to reality. From the simplication of the Boltzmann equation has the kinetic theory for rareed gas dynamics, which is developed analytically in a unied 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 innte paralalelas with dierent chemical constitutions Boundary Conditions for the Cercignani-Lampis.

ASSUNTO(S)

metodo de ordenadas discretas matematica modelos cineticos din^amica de gases rarefeitos nucleo de cercignani-lampis kinetic models method of discrete ordinates cercignani-lamp kernel the dynamics of rareed gases

Documentos Relacionados

• Solução espectral para modelos bidimensionais da equação linear de Boltzmann
• Modelos lineares generalizadas para series temporais com memoria longa
• Boundary element formulation for shallow shell analysis
• Boundary element method formulation for reinforced porous material
• Equação de estimação generalizada e influência local para modelos de regressão beta com medidas repetidas