Abstract
Language  English 

Awarding Institution 

Publication status  Published  Jul 2008 
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Keywords
 gas surface interaction
 scattering kernel
 Knudsen layer
 slip velocity
 temperature jump
 slip flow
 gas kinetic theory
 Boltzmann equation
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Research output: Thesis › Doctoral Thesis
TY  THES
T1  Conditions aux limites dans un gaz raréfié: loi de réflexion à la paroi, saut de température, vitesse de glissement, couche de Knudsen Boundary conditions in rarefied gas flows: scattering kernal, temperature jump, slip velocity, Knudsen layer problem
AU  Dadzie, S.K.
N1  ISBN: 9782356078520
PY  2008/7
Y1  2008/7
N2  This thesis deals with the problem of gas/wall interaction and boundary conditions in rarefied gas flows. Recent developments in microsystems and atmospheric reentry flight let appear new flow fields where boundary conditions are very important. These boundary conditions should be basically derived from gas kinetic theory. During this thesis, we developed a model of kinetic boundary conditions for unstructured and structured molecules gas flows in the gas surface interaction topic. The proposed kinetic boundary conditions were based on some mathematical integral formulations of the problem, supported by phenomenological descriptions. Then, the kinetic boundary conditions were used to describe hydrodynamic boundary conditions through the problem of temperature jump and slip velocity at the solid body. The Knudsen layer (which is a thin layer close to the wall) is also briefly described. Finally, the proposed kinetic boundary conditions are used in drag coefficient calculations, for higher altitude hypersonic flows in the free molecular regime, and in some particular flow predictions. Comparisons are made with other models and experiments.
AB  This thesis deals with the problem of gas/wall interaction and boundary conditions in rarefied gas flows. Recent developments in microsystems and atmospheric reentry flight let appear new flow fields where boundary conditions are very important. These boundary conditions should be basically derived from gas kinetic theory. During this thesis, we developed a model of kinetic boundary conditions for unstructured and structured molecules gas flows in the gas surface interaction topic. The proposed kinetic boundary conditions were based on some mathematical integral formulations of the problem, supported by phenomenological descriptions. Then, the kinetic boundary conditions were used to describe hydrodynamic boundary conditions through the problem of temperature jump and slip velocity at the solid body. The Knudsen layer (which is a thin layer close to the wall) is also briefly described. Finally, the proposed kinetic boundary conditions are used in drag coefficient calculations, for higher altitude hypersonic flows in the free molecular regime, and in some particular flow predictions. Comparisons are made with other models and experiments.
KW  gas surface interaction
KW  scattering kernel
KW  Knudsen layer
KW  slip velocity
KW  temperature jump
KW  slip flow
KW  gas kinetic theory
KW  Boltzmann equation
M3  Doctoral Thesis
ER 