Analytical solution of the poiseuille flow problem using the ellipsoidal-statistical model of the Boltzmann kinetic equation

2012 ◽  
Vol 53 (4) ◽  
pp. 509-516
Author(s):  
V. N. Popov ◽  
I. V. Testova ◽  
A. A. Yushkanov
Keyword(s):  
Kinetic Equation ◽  
Analytical Solution ◽  
Statistical Model ◽  
Poiseuille Flow ◽  
Flow Problem ◽  
Boltzmann Kinetic Equation

Application of the Boltzmann kinetic equation to the eddy problems

2011 ◽  
Vol 50 (1) ◽  
pp. 189-198 ◽  
Author(s):  
V.V. Aristov ◽  
O.I. Rovenskaya
Keyword(s):  
Kinetic Equation ◽  
Boltzmann Kinetic Equation

A statistical model of the earthquake process

1983 ◽  
Vol 73 (3) ◽  
pp. 853-862
Author(s):  
J. Lomnitz-Adler
Keyword(s):  
Numerical Calculation ◽  
Analytical Solution ◽  
Statistical Model ◽  
Frequency Distribution ◽  
Stress Drop ◽  
Statistical Features ◽  
Earthquake Process

abstract A model is presented for the simulation of the statistical features of the earthquake process. An analytical solution is given for a simple case, and a numerical calculation of spatial and stress drop frequency distribution has been carried out. Extensions of the model are discussed.

scholarly journals Simulation of a two-dimensional binary gas mixture outflow into vacuum through a thin slit on the basis of direct solution of the Boltzmann kinetic equation

2021 ◽  
Vol 2056 (1) ◽  
pp. 012007
Author(s):  
S S Sitnikov ◽  
F G Tcheremissine ◽  
T A Sazykina
Keyword(s):  
Kinetic Equation ◽  
Boltzmann Kinetic Equation ◽  
Gas Mixture ◽  
Two Dimensional ◽  
Direct Solution ◽  
Steady State Regime ◽  
Collision Integrals ◽  
Flow Formation ◽  
Binary Gas Mixture ◽  
State Regime

Abstract Two-dimensional binary gas mixture outflow from a vessel into vacuum through a thin slit is studied on the basis of direct solution of the Boltzmann kinetic equation. For evaluation of collision integrals in the Boltzmann equation a conservative projection method is used. Numerical simulation of a two-dimensional argon-neon gas mixture outflow from a vessel into vacuum was performed. Graphs of mixture components flow rate dependence on time during the flow formation, as well as fields of molecular density and temperature for steady-state regime, were obtained.

The Boltzmann Kinetic Equation and Various Models

2010 ◽  
pp. 113-144
Author(s):  
Yurii N. Grigoriev ◽  
Nail H. Ibragimov ◽  
Vladimir F. Kovalev ◽  
Sergey V. Meleshko
Keyword(s):  
Kinetic Equation ◽  
Boltzmann Kinetic Equation

THE NUMERICAL SOLUTION OF THE BOLTZMANN KINETIC EQUATION FOR GRANULAR GASES

2019 ◽  
pp. 25-30
Author(s):  
I. Gapyak
Keyword(s):  
Cauchy Problem ◽  
Kinetic Equation ◽  
Numerical Solution ◽  
Dimensional Space ◽  
Boltzmann Kinetic Equation ◽  
Granular Gases ◽  
Two Dimensional ◽  
System Of Particles ◽  
The Cauchy Problem

For a system of particles with a dissipative interaction we consider the Boltzmann type kinetic equation for granular gases. A numerical solution of the Cauchy problem for the Boltzmann type kinetic equation is constructed in two dimensional space and its stability is investigated.

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