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

S.K. Dadzie

Research output: ThesisDoctoral Thesis

Abstract

This thesis deals with the problem of gas/wall interaction and boundary conditions in rarefied gas flows. Recent developments in microsystems and atmospheric re-entry 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.
LanguageEnglish
Awarding Institution
  • Edilivre Universitaire
Publication statusPublished - Jul 2008

Fingerprint

gas flow
boundary condition
scattering
kinetics
temperature
gas
field margin
drag coefficient
flow field
hydrodynamics
flight
prediction

Keywords

  • gas surface interaction
  • scattering kernel
  • Knudsen layer
  • slip velocity
  • temperature jump
  • slip flow
  • gas kinetic theory
  • Boltzmann equation

Cite this

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title = "Conditions aux limites dans un gaz rar{\'e}fi{\'e}: loi de r{\'e}flexion {\`a} la paroi, saut de temp{\'e}rature, vitesse de glissement, couche de Knudsen Boundary conditions in rarefied gas flows: scattering kernal, temperature jump, slip velocity, Knudsen layer problem",
abstract = "This thesis deals with the problem of gas/wall interaction and boundary conditions in rarefied gas flows. Recent developments in microsystems and atmospheric re-entry 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.",
keywords = "gas surface interaction, scattering kernel, Knudsen layer, slip velocity, temperature jump, slip flow, gas kinetic theory, Boltzmann equation",
author = "S.K. Dadzie",
note = "ISBN: 978-2-35607-852-0",
year = "2008",
month = "7",
language = "English",
school = "Edilivre Universitaire",

}

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: 978-2-35607-852-0

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 re-entry 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 re-entry 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 -