DOI: https://doi.org/10.26089/NumMet.v21r319

Two-dimensional effects on the interaction of a shock wave with a cloud of particles

Authors

  • K.N. Volkov
  • V.N. Emelyanov
  • A.G. Karpenko
  • I.V. Teterina

Keywords:

two-phase flow
numerical simulation
shock wave
particle
concentration
cloud of particles

Abstract

A statistical approach based on the kinetic equation for the probability density function of the distribution of particle velocity and temperature is used to develop a continuum model describing pseudoturbulent flows of the dispersed phase. The introduction of the probability density function allows one to obtain a statistical description of an ensemble of particles instead of a dynamic description of individual particles based on Langevin equations of motion and heat transfer. The equations for the first and second moments of the dispersed phase are derived and the numerical simulation of the unsteady gas–particle flow arising due to the interaction of a shock wave with a cloud of particles is performed. The governing equations are of the hyperbolic type and are written in a conservative form. They are solved by a Godunov numerical method of high order of accuracy. Two-dimensional effects on the formation of the shock-wave structure of the gasparticle flow and distributions of particle concentration and other flow quantities in time and space are discussed.

New computational technologies

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Published

2020-09-27

Issue

Vol. 21 (2020): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

K.N. Volkov

D.F. Ustinov Baltic State Technical University «Voenmekh»,
Faculty of Rocket and Space Engineering
• Leading Researcher

V.N. Emelyanov

D.F. Ustinov Baltic State Technical University «Voenmekh»,
Faculty of Rocket and Space Engineering
• Professor

A.G. Karpenko

St Petersburg University,
Mathematics and Mechanics Faculty
• Associate Professor

I.V. Teterina

D.F. Ustinov Baltic State Technical University «Voenmekh»,
Faculty of Rocket and Space Engineering
• Associate Professor

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