Evaporation and condensation of a rarefied gas between its two parallel plane condensed phases with different temperatures and negative temperature-gradient phenomenon — Numerical analysis of the boltzmann equation for hard-sphere molecules —

Lecture Notes in Mathematics - Mathematical Aspects of Fluid and Plasma Dynamics ◽

10.1007/bfb0091368 ◽

1991 ◽

pp. 186-202 ◽

Cited By ~ 3

Author(s):

Yoshio Sone ◽

Taku Ohwada ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Temperature Gradient ◽

Hard Sphere ◽

Rarefied Gas ◽

Negative Temperature ◽

Parallel Plane ◽

Condensed Phases ◽

Evaporation And Condensation ◽

Different Temperatures

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

Gas flows caused by evaporation and condensation on two parallel condensed phases and the negative temperature gradient: Numerical analysis by using a nonlinear kinetic equation

Physics of Fluids ◽

10.1063/1.868302 ◽

1994 ◽

Vol 6 (3) ◽

pp. 1379-1395 ◽

Cited By ~ 28

Author(s):

Kazuo Aoki ◽

Noboru Masukawa

Keyword(s):

Kinetic Equation ◽

Numerical Analysis ◽

Temperature Gradient ◽

Negative Temperature ◽

Gas Flows ◽

Condensed Phases ◽

Evaporation And Condensation ◽

Nonlinear Kinetic

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

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

Erratum: ‘‘Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard‐sphere molecules’’ [Phys. Fluids A 1, 363 (1989)]

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.857560 ◽

1989 ◽

Vol 1 (6) ◽

pp. 1077-1077 ◽

Cited By ~ 1

Author(s):

Yoshio Sone ◽

Taku Ohwada ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Temperature Jump ◽

Rarefied Gas ◽

Knudsen Layer ◽

Plane Wall ◽

Linearized Boltzmann Equation

Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard‐sphere molecules

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.857304 ◽

1989 ◽

Vol 1 (9) ◽

pp. 1588-1599 ◽

Cited By ~ 154

Author(s):

Taku Ohwada ◽

Yoshio Sone ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Hard Sphere ◽

Rarefied Gas ◽

Thermal Creep ◽

Plane Wall ◽

Linearized Boltzmann Equation

Numerical analysis of oscillatory Couette flow of a rarefied gas on the basis of the linearized Boltzmann equation for a hard sphere molecular gas

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-009-0055-6 ◽

2010 ◽

Vol 61 (5) ◽

pp. 811-822 ◽

Cited By ~ 6

Author(s):

Toshiyuki Doi

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Couette Flow ◽

Hard Sphere ◽

Rarefied Gas ◽

Molecular Gas ◽

Linearized Boltzmann Equation

Evaporation and condensation on a plane condensed phase: Numerical analysis of the linearized Boltzmann equation for hard‐sphere molecules

Physics of Fluids A Fluid Dynamics ◽

10.1063/1.857316 ◽

1989 ◽

Vol 1 (8) ◽

pp. 1398-1405 ◽

Cited By ~ 47

Author(s):

Yoshio Sone ◽

Taku Ohwada ◽

Kazuo Aoki

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Condensed Phase ◽

Hard Sphere ◽

Evaporation And Condensation ◽

Linearized Boltzmann Equation

Heat flow and temperature and density distributions in a rarefied gas between parallel plates with different temperatures. Finite‐difference analysis of the nonlinear Boltzmann equation for hard‐sphere molecules

Physics of Fluids ◽

10.1063/1.868989 ◽

1996 ◽

Vol 8 (8) ◽

pp. 2153-2160 ◽

Cited By ~ 50

Author(s):

Taku Ohwada

Keyword(s):

Boltzmann Equation ◽

Heat Flow ◽

Finite Difference ◽

Hard Sphere ◽

Rarefied Gas ◽

Parallel Plates ◽

Nonlinear Boltzmann Equation ◽

Difference Analysis ◽

Density Distributions ◽

Different Temperatures

Numerical analysis of the Poiseuille flow and the thermal transpiration of a rarefied gas through a pipe with a rectangular cross section based on the linearized Boltzmann equation for a hard sphere molecular gas

Journal of Vacuum Science & Technology A Vacuum Surfaces and Films ◽

10.1116/1.3449056 ◽

2010 ◽

Vol 28 (4) ◽

pp. 603-612 ◽

Cited By ~ 8

Author(s):

Toshiyuki Doi

Keyword(s):

Boltzmann Equation ◽

Numerical Analysis ◽

Cross Section ◽

Poiseuille Flow ◽

Hard Sphere ◽

Rarefied Gas ◽

Rectangular Cross Section ◽

Molecular Gas ◽

Thermal Transpiration ◽

Linearized Boltzmann Equation