Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard‐sphere molecules

Taku Ohwada

doi:10.1063/1.858777

Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard‐sphere molecules

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.858777 ◽

1993 ◽

Vol 5 (1) ◽

pp. 217-234 ◽

Cited By ~ 90

Author(s):

Taku Ohwada

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Shock Waves ◽

Hard Sphere ◽

Normal Shock ◽

The Boltzmann Equation

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Numerical Analysis of Normal Shock Waves on the Basis of the Boltzmann Equation for Hard-Sphere Molecules

Rarefied Gas Dynamics: Theory and Simulations ◽

10.2514/5.9781600866319.0482.0488 ◽

1994 ◽

pp. 482-488

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Shock Waves ◽

Hard Sphere ◽

Normal Shock ◽

The Boltzmann Equation

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Numerical analysis of a uniform flow of a rarefied gas past a sphere on the basis of the Boltzmann equation for hard‐sphere molecules

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.858655 ◽

1993 ◽

Vol 5 (3) ◽

pp. 716-737 ◽

Cited By ~ 58

Author(s):

Shigeru Takata ◽

Yoshio Sone ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Rarefied Gas ◽

Uniform Flow ◽

The Boltzmann Equation

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Numerical analysis of a rarefied gas flow past a volatile particle using the Boltzmann equation for hard‐sphere molecules

Physics of Fluids ◽

10.1063/1.868248 ◽

1994 ◽

Vol 6 (5) ◽

pp. 1914-1928 ◽

Cited By ~ 11

Author(s):

Yoshio Sone ◽

Shigeru Takata ◽

Masahiko Wakabayashi

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Gas Flow ◽

Rarefied Gas ◽

Rarefied Gas Flow ◽

Flow Past ◽

The Boltzmann Equation ◽

Volatile Particle

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Thermophoresis of a Sphere with a Uniform Temperature: Numerical Analysis of the Boltzmann Equation for Hard-Sphere Molecules

Rarefied Gas Dynamics: Theory and Simulations ◽

10.2514/5.9781600866319.0626.0639 ◽

1994 ◽

pp. 626-639 ◽

Cited By ~ 2

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Uniform Temperature ◽

The Boltzmann Equation

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Evaporation from or condensation onto a sphere: Numerical analysis of the Boltzmann equation for hard-sphere molecules

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(97)00268-x ◽

1998 ◽

Vol 35 (1-2) ◽

pp. 193-214 ◽

Cited By ~ 17

Author(s):

S. Takata ◽

Y. Sone ◽

D. Lhuillier ◽

M. Wakabayashi

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

The Boltzmann Equation

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Heat Transfer and Temperature Distribution in a Rarefied Gas Between Two Parallel Plates with Different Temperatures: Numerical Analysis of the Boltzmann Equation for a Hard Sphere Molecule

Rarefied Gas Dynamics: Theoretical and Computational Techniques ◽

10.2514/5.9781600865923.0070.0081 ◽

1989 ◽

pp. 70-81 ◽

Cited By ~ 1

Keyword(s):

Heat Transfer ◽

Boltzmann Equation ◽

Temperature Distribution ◽

Numerical Analysis ◽

Hard Sphere ◽

Rarefied Gas ◽

Parallel Plates ◽

The Boltzmann Equation ◽

Different Temperatures

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Erratum: ‘‘Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard‐sphere molecules’’ [Phys. Fluids A 1, 2042 (1989)]

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.857715 ◽

1990 ◽

Vol 2 (4) ◽

pp. 639-639 ◽

Cited By ~ 7

Author(s):

Taku Ohwada ◽

Yoshio Sone ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Parallel Plates ◽

Thermal Transpiration ◽

The Boltzmann Equation

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Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard‐sphere molecules

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.857478 ◽

1989 ◽

Vol 1 (12) ◽

pp. 2042-2049 ◽

Cited By ~ 254

Author(s):

Taku Ohwada ◽

Yoshio Sone ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Parallel Plates ◽

Thermal Transpiration ◽

The Boltzmann Equation

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Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules

Physics of Fluids ◽

10.1063/1.3435343 ◽

2010 ◽

Vol 22 (6) ◽

pp. 062004 ◽

Cited By ~ 38

Author(s):

Carlo Cercignani ◽

Silvia Lorenzani

Keyword(s):

Boltzmann Equation ◽

Hard Sphere ◽

Second Order ◽

The Boltzmann Equation ◽

Slip Coefficients

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Approximate solutions of the Boltzmann equation for shock waves

The Physics of Fluids ◽

10.1063/1.1694273 ◽

1973 ◽

Vol 16 (12) ◽

pp. 2106 ◽

Cited By ~ 2

Author(s):

Norman F. Sather

Keyword(s):

Boltzmann Equation ◽

Shock Waves ◽

Approximate Solutions ◽

The Boltzmann Equation

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