Numerical modelling of conglomerates flowing by high-temperature gas flow

I. V. Eremin ; K. V. Kostushin ; S. A. Rashkovskiy ; K. N. Zhil'tsov

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 86 (2023), pp. 55-69

Résumé

In this paper, the modeling of conglomerate motion in a uniform and accelerating gas flow is carried out. The gas is viscous, compressible, and heat-conducting. Conglomerate motion is induced by pressure forces. The gas-to-conglomerate heat transfer and the combustion and destruction of the conglomerate are not taken into account. The mathematical model of the motion of conglomerates in the flow of combustion products is based on threedimensional Navier-Stokes equations and the k-$\omega$ SST turbulence model. The system of equations is solved numerically using Godunov-type schemes. The problem solution is obtained by means of technologies and calculation algorithms based on dynamic grids. In the developed methodology, the computational grid is constructed according to the Overset method. Numerical simulation of the motion of non-spherical particles in the nozzle block of a solid-fuel rocket engine is performed using the ANSYS Fluent software package. The conglomerate motion in the computational domain is specified by user-defined functions. Numerical studies of the motion characteristics of one spherical particle and three types of conglomerates, which are equivalent in mass and number of particles, in a uniform and accelerating gas flow have been performed. It has been found that when moving in a uniform flow, asymmetric conglomerates deviate significantly from the symmetry axis, and when moving in an accelerating flow, the conglomerates are stabilized in the vicinity of the symmetry axis, even if the initial position of the conglomerates deviates from the axis.

Détail

Keywords: mathematical simulation, nozzle block, conglomerate.
Mots-clés : particles