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Doctoral Thesis
DOI
10.11606/T.43.1995.tde-12122013-155734
Document
Author
Full name
Mauro Gomes Rodbard
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1995
Supervisor
Committee
Figueiredo, Wagner
Galvao, Ricardo Magnus Osorio
Kremer, Gilberto Medeiros
Liu, I-shih
Salinas, Silvio Roberto de Azevedo
Title in Portuguese
Teoria cinética para misturas de gases ionizados
Keywords in Portuguese
Coeficientes de transporte
Física de plasmas
Gases ionizados
Teoria cinética dos gases
Abstract in Portuguese
Desenvolvemos urna teoria cinética para urna mistura de gases ionizados em presença de campos elétricos e magnéticos. As leis de Ohm, Fourier e Navier-Stokes são obtidas por dois métodos distintos que se baseiam na equação de Boltzmann. Verificamos que o emprego de teoremas de representação torna o método de Chapman-Enskog mais direto. Entretanto o método combinado mostrou-se extremamente simples, onde os coeficientes de transporte são determinados através da inversão de tensores de segunda e quarta ordens. Calculamos também a integral de colisão para as possíveis interações em gases ionizados tais como, entre partículas carregadas, partícula carregada e partícula neutra e entre partículas neutras. Como uma aplicação do método combinado, determinamos os coeficientes de condutividade elétrica, condutividade térmica, coeficiente termo-elétrico e o coeficiente de viscosidade cisalhante para um gás totalmente ionizado. Obtemos seus respectivos gráficos, considerando então um gás ionizado formado a partir do gás de hélio.
Title in English
Kinetic theory for mixtures of ionized gases
Keywords in English
Ionized gases
Kinetic theory of gases
Physics of plasmas
Transport coefficients
Abstract in English
We develop a kinetic theory for ionized gases mixtures under the presence of electric and magnetic fields. The laws of Ohm, Fourier and Navier-Stokes are obtained by two different methods based on the Boltzmann equation. We verify that the use of representation theorems makes the Chapman-Enskog method more direct. However the combined method shows up as extremely simple where the transport coefficients are determined through inversion of second-order and fourth order tensors. We calculate also the collision integrals for possible interactions in ionized gases like: between charged particles, between charged particles and neutral particles and between neutral particles. As an application of the combined method, we determine the electrical and thermal conductivity coefficients, thermo-electric and shear viscosity coefficients for a completely ionized gas. We obtain their respective graphics considering an ionized gas of helium.
 
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Publishing Date
2014-02-21
 
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